1C Copyright (c) 2017, Lawrence Livermore National Security, LLC. Produced at 2C the Lawrence Livermore National Laboratory. LLNL-CODE-734707. All Rights 3C reserved. See files LICENSE and NOTICE for details. 4C 5C This file is part of CEED, a collection of benchmarks, miniapps, software 6C libraries and APIs for efficient high-order finite element and spectral 7C element discretizations for exascale applications. For more information and 8C source code availability see http://github.com/ceed. 9C 10C The CEED research is supported by the Exascale Computing Project (17-SC-20-SC) 11C a collaborative effort of two U.S. Department of Energy organizations (Office 12C of Science and the National Nuclear Security Administration) responsible for 13C the planning and preparation of a capable exascale ecosystem, including 14C software, applications, hardware, advanced system engineering and early 15C testbed platforms, in support of the nation's exascale computing imperative. 16 17C> @file 18C> Mass and diffusion operators examples using Nek5000 19C TESTARGS -c {ceed_resource} -e bp1 -n 1 -b 4 -test 20 21C----------------------------------------------------------------------- 22 subroutine masssetupf(ctx,q,u1,u2,u3,u4,u5,u6,u7, 23 $ u8,u9,u10,u11,u12,u13,u14,u15,u16,v1,v2,v3,v4,v5,v6,v7,v8, 24 $ v9,v10,v11,v12,v13,v14,v15,v16,ierr) 25C Set up mass operator 26C Input: u1,u2,u3,q Output: v1,v2,ierr 27 integer q,ierr 28 real*8 ctx(1) 29 real*8 u1(3*q) 30 real*8 u2(9*q) 31 real*8 u3(q) 32 real*8 v1(q) 33 real*8 v2(q) 34 real*8 a11,a12,a13,a21,a22,a23,a31,a32,a33 35 real*8 g11,g12,g13,g21,g22,g23,g31,g32,g33 36 real*8 jacmq 37 38C Quadrature Point Loop 39 do i=1,q 40 a11=u2(i+q*0) 41 a12=u2(i+q*3) 42 a13=u2(i+q*6) 43 44 a21=u2(i+q*1) 45 a22=u2(i+q*4) 46 a23=u2(i+q*7) 47 48 a31=u2(i+q*2) 49 a32=u2(i+q*5) 50 a33=u2(i+q*8) 51 52 g11 = (a22*a33-a23*a32) 53 g12 = (a13*a32-a33*a12) 54 g13 = (a12*a23-a22*a13) 55 56 g21 = (a23*a31-a21*a33) 57 g22 = (a11*a33-a31*a13) 58 g23 = (a13*a21-a23*a11) 59 60 g31 = (a21*a32-a22*a31) 61 g32 = (a12*a31-a32*a11) 62 g33 = (a11*a22-a21*a12) 63 64 jacmq = a11*g11+a21*g12+a31*g13 65 66C Rho 67 v1(i)=u3(i)*jacmq 68 69C RHS 70 v2(i)=u3(i)*jacmq 71 $ *dsqrt(u1(i+q*0)*u1(i+q*0) 72 $ +u1(i+q*1)*u1(i+q*1) 73 $ +u1(i+q*2)*u1(i+q*2)) 74 enddo 75 76 ierr=0 77 end 78C----------------------------------------------------------------------- 79 subroutine massf(ctx,q,u1,u2,u3,u4,u5,u6,u7, 80 $ u8,u9,u10,u11,u12,u13,u14,u15,u16,v1,v2,v3,v4,v5,v6,v7,v8, 81 $ v9,v10,v11,v12,v13,v14,v15,v16,ierr) 82C Apply mass operator 83C Input: u1,u2,q Output: v1,ierr 84 integer q,ierr 85 real*8 ctx(1) 86 real*8 u1(q) 87 real*8 u2(q) 88 real*8 v1(q) 89 90C Quadrature Point Loop 91 do i=1,q 92 v1(i)=u2(i)*u1(i) 93 enddo 94 95 ierr=0 96 end 97C----------------------------------------------------------------------- 98 subroutine diffsetupf(ctx,q,u1,u2,u3,u4,u5,u6,u7, 99 $ u8,u9,u10,u11,u12,u13,u14,u15,u16,v1,v2,v3,v4,v5,v6,v7,v8, 100 $ v9,v10,v11,v12,v13,v14,v15,v16,ierr) 101C Set up diffusion operator 102C Input: u1,u2,u3,q Output: v1,v2,ierr 103 integer q,ierr 104 real*8 ctx(1) 105 real*8 u1(3*q) 106 real*8 u2(9*q) 107 real*8 u3(q) 108 real*8 v1(6*q) 109 real*8 v2(q) 110 real*8 a11,a12,a13,a21,a22,a23,a31,a32,a33 111 real*8 g11,g12,g13,g21,g22,g23,g31,g32,g33 112 real*8 jacmq,scl 113 real*8 c(3),k(3) 114 115C Quadrature Point Loop 116 do i=1,q 117 pi = 3.14159265358979323846 118 119 c(1)=0. 120 c(2)=1. 121 c(3)=2. 122 k(1)=1. 123 k(2)=2. 124 k(3)=3. 125 126 a11=u2(i+q*0) 127 a12=u2(i+q*3) 128 a13=u2(i+q*6) 129 130 a21=u2(i+q*1) 131 a22=u2(i+q*4) 132 a23=u2(i+q*7) 133 134 a31=u2(i+q*2) 135 a32=u2(i+q*5) 136 a33=u2(i+q*8) 137 138 g11 = (a22*a33-a23*a32) 139 g12 = (a13*a32-a33*a12) 140 g13 = (a12*a23-a22*a13) 141 142 g21 = (a23*a31-a21*a33) 143 g22 = (a11*a33-a31*a13) 144 g23 = (a13*a21-a23*a11) 145 146 g31 = (a21*a32-a22*a31) 147 g32 = (a12*a31-a32*a11) 148 g33 = (a11*a22-a21*a12) 149 150 jacmq = a11*g11+a21*g12+a31*g13 151 152 scl = u3(i)/jacmq 153 154C Geometric factors 155C Stored in Voigt convention 156C 0 5 4 157C 5 1 3 158C 4 3 2 159 v1(i+0*q) = scl*(g11*g11+g12*g12+g13*g13) ! Grr 160 v1(i+1*q) = scl*(g21*g21+g22*g22+g23*g23) ! Gss 161 v1(i+2*q) = scl*(g31*g31+g32*g32+g33*g33) ! Gtt 162 v1(i+3*q) = scl*(g21*g31+g22*g32+g23*g33) ! Gst 163 v1(i+4*q) = scl*(g11*g31+g12*g32+g13*g33) ! Grt 164 v1(i+5*q) = scl*(g11*g21+g12*g22+g13*g23) ! Grs 165 166C RHS 167 v2(i) = u3(i)*jacmq*pi*pi 168 $ *dsin(pi*(c(1)+k(1)*u1(i+0*q))) 169 $ *dsin(pi*(c(2)+k(2)*u1(i+1*q))) 170 $ *dsin(pi*(c(3)+k(3)*u1(i+2*q))) 171 $ *(k(1)*k(1)+k(2)*k(2)+k(3)*k(3)) 172 173 enddo 174 175 ierr=0 176 end 177C----------------------------------------------------------------------- 178 subroutine diffusionf(ctx,q,u1,u2,u3,u4,u5,u6,u7, 179 $ u8,u9,u10,u11,u12,u13,u14,u15,u16,v1,v2,v3,v4,v5,v6,v7,v8, 180 $ v9,v10,v11,v12,v13,v14,v15,v16,ierr) 181C Apply diffusion operator 182C Input: u1,u2,q Output: v1,ierr 183 integer q,ierr 184 real*8 ctx(1) 185 real*8 u1(3*q) 186 real*8 u2(6*q) 187 real*8 v1(3*q) 188 189C Quadrature Point Loop 190 do i=1,q 191 v1(i+0*q)= 192 $ u2(i+0*q)*u1(i)+u2(i+5*q)*u1(i+q)+u2(i+4*q)*u1(i+2*q) 193 v1(i+1*q)= 194 $ u2(i+5*q)*u1(i)+u2(i+1*q)*u1(i+q)+u2(i+3*q)*u1(i+2*q) 195 v1(i+2*q)= 196 $ u2(i+4*q)*u1(i)+u2(i+3*q)*u1(i+q)+u2(i+2*q)*u1(i+2*q) 197 enddo 198 199 ierr=0 200 end 201C----------------------------------------------------------------------- 202 subroutine set_h2_as_rhoJac_GL(h2,bmq,nxq) 203C Set h2 as rhoJac 204C Input: bmq,nxq Output: h2 205 include 'SIZE' 206 real*8 h2(1),bmq(1) 207 208 common /ctmp77/ wd(lxd),zd(lxd) 209 integer e,i,L 210 211 call zwgl(zd,wd,nxq) ! nxq = number of points 212 213 q = 1.0 ! Later, this can be a function of position... 214 215 L = 0 216 do e=1,lelt 217 do i=1,nxq**ldim 218 L=L+1 219 h2(L) = q*bmq(L) 220 enddo 221 enddo 222 223 return 224 end 225C----------------------------------------------------------------------- 226 subroutine dist_fld_h1(e) 227C Set distance initial condition for BP1 228C Input: Output: e 229 include 'SIZE' 230 include 'TOTAL' 231 real*8 x,y,z 232 real*8 e(1) 233 234 n=lx1*ly1*lz1*nelt 235 236 do i=1,n 237 x=xm1(i,1,1,1) 238 y=ym1(i,1,1,1) 239 z=zm1(i,1,1,1) 240 241 e(i) = dsqrt(x*x+y*y+z*z) 242 enddo 243 244 call dsavg(e) ! This is requisite for random fields 245 246 return 247 end 248C----------------------------------------------------------------------- 249 subroutine sin_fld_h1(e) 250C Set sine initial condition for BP3 251C Input: Output: e 252 include 'SIZE' 253 include 'TOTAL' 254 real*8 x,y,z 255 real*8 e(1) 256 real*8 c(3),k(3) 257 258 n=lx1*ly1*lz1*nelt 259 pi = 3.14159265358979323846 260 261 c(1)=0. 262 c(2)=1. 263 c(3)=2. 264 k(1)=1. 265 k(2)=2. 266 k(3)=3. 267 268 do i=1,n 269 x=xm1(i,1,1,1) 270 y=ym1(i,1,1,1) 271 z=zm1(i,1,1,1) 272 273 e(i) = dsin(pi*(c(1)+k(1)*x)) 274 & *dsin(pi*(c(2)+k(2)*y)) 275 & *dsin(pi*(c(3)+k(3)*z)) 276 277 enddo 278 279 call dsavg(e) ! This is requisite for random fields 280 281 return 282 end 283C----------------------------------------------------------------------- 284 subroutine uservp(ix,iy,iz,eg) ! set variable properties 285 include 'SIZE' 286 include 'TOTAL' 287 include 'NEKUSE' 288 integer e,f,eg 289C e = gllel(eg) 290 291 udiff = 0.0 292 utrans = 0.0 293 294 return 295 end 296C----------------------------------------------------------------------- 297 subroutine userf(ix,iy,iz,eg) ! set acceleration term 298C 299C Note: this is an acceleration term, NOT a force! 300C Thus, ffx will subsequently be multiplied by rho(x,t). 301C 302 include 'SIZE' 303 include 'TOTAL' 304 include 'NEKUSE' 305 integer e,f,eg 306C e = gllel(eg) 307 308 ffx = 0.0 309 ffy = 0.0 310 ffz = 0.0 311 312 return 313 end 314C----------------------------------------------------------------------- 315 subroutine userq(i,j,k,eg) ! set source term 316 include 'SIZE' 317 include 'TOTAL' 318 include 'NEKUSE' 319 integer e,f,eg 320 e = gllel(eg) 321 322 qvol = 0 323 324 return 325 end 326C----------------------------------------------------------------------- 327 subroutine userbc(ix,iy,iz,f,eg) ! set up boundary conditions 328C NOTE ::: This subroutine MAY NOT be called by every process 329 include 'SIZE' 330 include 'TOTAL' 331 include 'NEKUSE' 332 integer e,f,eg 333 334 ux = 0.0 335 uy = 0.0 336 uz = 0.0 337 temp = 0.0 338 339 return 340 end 341C----------------------------------------------------------------------- 342 subroutine useric(ix,iy,iz,eg) ! set up initial conditions 343 include 'SIZE' 344 include 'TOTAL' 345 include 'NEKUSE' 346 integer e,f,eg 347 348 ux = 0.0 349 uy = 0.0 350 uz = 0.0 351 temp = 0.0 352 353 return 354 end 355C----------------------------------------------------------------------- 356 subroutine usrdat ! This routine to modify element vertices 357 include 'SIZE' 358 include 'TOTAL' 359 360 return 361 end 362C----------------------------------------------------------------------- 363 subroutine usrdat2 ! This routine to modify mesh coordinates 364 include 'SIZE' 365 include 'TOTAL' 366 367 x0 = 0 368 x1 = 1 369 call rescale_x(xm1,x0,x1) 370 call rescale_x(ym1,x0,x1) 371 call rescale_x(zm1,x0,x1) 372 373 param(59)=1 ! Force Nek to use the "deformed element" formulation 374 375 return 376 end 377C----------------------------------------------------------------------- 378 subroutine usrdat3 379 include 'SIZE' 380 include 'TOTAL' 381 382 return 383 end 384C----------------------------------------------------------------------- 385 subroutine xmask1 (r1,h2,nel) 386C Apply zero Dirichlet boundary conditions 387C Input: h2,nel Output: r1 388 include 'SIZE' 389 include 'TOTAL' 390 real*8 r1(1),h2(1) 391 392 n=nx1*ny1*nz1*nel 393 do i=1,n 394 r1(i)=r1(i)*h2(i) 395 enddo 396 397 return 398 end 399C----------------------------------------------------------------------- 400 function glrdif(x,y,n) 401C Compute Linfty norm of (x-y) 402C Input: x,y Output: n 403 real*8 x(n),y(n) 404 405 dmx=0 406 xmx=0 407 ymx=0 408 409 do i=1,n 410 diff=abs(x(i)-y(i)) 411 dmx =max(dmx,diff) 412 xmx =max(xmx,x(i)) 413 ymx =max(ymx,y(i)) 414 enddo 415 416 xmx = max(xmx,ymx) 417 dmx = glmax(dmx,1) ! max across processors 418 xmx = glmax(xmx,1) 419 420 if (xmx.gt.0) then 421 glrdif = dmx/xmx 422 else 423 glrdif = -dmx ! Negative indicates something strange 424 endif 425 426 return 427 end 428C----------------------------------------------------------------------- 429 subroutine loc_grad3(ur,us,ut,u,N,D,Dt) 430C 3D transpose of local gradient 431C Input: u,N,D,Dt Output: ur,us,ut 432 real*8 ur(0:N,0:N,0:N),us(0:N,0:N,0:N),ut(0:N,0:N,0:N) 433 real*8 u (0:N,0:N,0:N) 434 real*8 D (0:N,0:N),Dt(0:N,0:N) 435 436 m1 = N+1 437 m2 = m1*m1 438 439 call mxm(D ,m1,u(0,0,0),m1,ur,m2) 440 do k=0,N 441 call mxm(u(0,0,k),m1,Dt,m1,us(0,0,k),m1) 442 enddo 443 call mxm(u(0,0,0),m2,Dt,m1,ut,m1) 444 445 return 446 end 447c----------------------------------------------------------------------- 448 subroutine loc_grad3t(u,ur,us,ut,N,D,Dt,w) 449C 3D transpose of local gradient 450C Input: ur,us,ut,N,D,Dt Output: u 451 real*8 u (0:N,0:N,0:N) 452 real*8 ur(0:N,0:N,0:N),us(0:N,0:N,0:N),ut(0:N,0:N,0:N) 453 real*8 D (0:N,0:N),Dt(0:N,0:N) 454 real*8 w (0:N,0:N,0:N) 455 456 m1 = N+1 457 m2 = m1*m1 458 m3 = m1*m1*m1 459 460 call mxm(Dt,m1,ur,m1,u(0,0,0),m2) 461 do k=0,N 462 call mxm(us(0,0,k),m1,D ,m1,w(0,0,k),m1) 463 enddo 464 call add2(u(0,0,0),w,m3) 465 call mxm(ut,m2,D ,m1,w,m1) 466 call add2(u(0,0,0),w,m3) 467 468 return 469 end 470C----------------------------------------------------------------------- 471 subroutine geodatq(gf,bmq,w3mq,nxq) 472C Routine to generate elemental geometric matrices on mesh 1 473C (Gauss-Legendre Lobatto mesh). 474 include 'SIZE' 475 include 'TOTAL' 476 477 parameter (lg=3+3*(ldim-2),lzq=lx1+1,lxyd=lzq**ldim) 478 479 real*8 gf(lg,nxq**ldim,lelt),bmq(nxq**ldim,lelt),w3mq(nxq,nxq,nxq) 480 481 common /ctmp1/ xr(lxyd),xs(lxyd),xt(lxyd) 482 common /sxrns/ yr(lxyd),ys(lxyd),yt(lxyd) 483 $ , zr(lxyd),zs(lxyd),zt(lxyd) 484 485 common /ctmp77/ wd(lxd),zd(lxd) 486 common /dxmfine/ dxmq(lzq,lzq),dxtmq(lzq,lzq) 487 488 integer e 489 real*8 tmp(lxyd) 490 real*8 a11,a12,a13,a21,a22,a23,a31,a32,a33 491 real*8 g11,g12,g13,g21,g22,g23,g31,g32,g33 492 real*8 jacmq 493 494 if (nxq.gt.lzq) call exitti('ABORT: recompile with lzq=$',nxq) 495 496 call zwgl (zd,wd,lzq) ! nxq = number of points 497 call gen_dgl (dxmq,dxtmq,lzq,lzq,tmp) 498 499 do k=1,nxq 500 do j=1,nxq 501 do i=1,nxq 502 w3mq(i,j,k) = wd(i)*wd(j)*wd(k) 503 enddo 504 enddo 505 enddo 506 507 nxyzq = nxq**ldim 508 nxqm1 = lzq-1 509 510 do e=1,nelt 511 call intp_rstd (tmp,xm1(1,1,1,e),lx1,lzq,if3d,0) ! 0-->Fwd interpolation 512 call loc_grad3 (xr,xs,xt,tmp,nxqm1,dxmq,dxtmq) 513 514 call intp_rstd (tmp,ym1(1,1,1,e),lx1,lzq,if3d,0) 515 call loc_grad3 (yr,ys,yt,tmp,nxqm1,dxmq,dxtmq) 516 517 call intp_rstd (tmp,zm1(1,1,1,e),lx1,lzq,if3d,0) 518 call loc_grad3 (zr,zs,zt,tmp,nxqm1,dxmq,dxtmq) 519 520 do i=1,nxyzq 521 a11 = xr(i) 522 a12 = xs(i) 523 a13 = xt(i) 524 525 a21 = yr(i) 526 a22 = ys(i) 527 a23 = yt(i) 528 529 a31 = zr(i) 530 a32 = zs(i) 531 a33 = zt(i) 532 533 g11 = (a22*a33-a23*a32) 534 g12 = (a13*a32-a33*a12) 535 g13 = (a12*a23-a22*a13) 536 537 g21 = (a23*a31-a21*a33) 538 g22 = (a11*a33-a31*a13) 539 g23 = (a13*a21-a23*a11) 540 541 g31 = (a21*a32-a22*a31) 542 g32 = (a12*a31-a32*a11) 543 g33 = (a11*a22-a21*a12) 544 545 jacmq = a11*g11+a21*g12+a31*g13 546 547 bmq(i,e) = w3mq(i,1,1)*jacmq 548 scale = w3mq(i,1,1)/jacmq 549 550 gf(1,i,e) = scale*(g11*g11+g12*g12+g13*g13) ! Grr 551 gf(2,i,e) = scale*(g11*g21+g12*g22+g13*g23) ! Grs 552 gf(3,i,e) = scale*(g11*g31+g12*g32+g13*g33) ! Grt 553 gf(4,i,e) = scale*(g21*g21+g22*g22+g23*g23) ! Gss 554 gf(5,i,e) = scale*(g21*g31+g22*g32+g23*g33) ! Gst 555 gf(6,i,e) = scale*(g31*g31+g32*g32+g33*g33) ! Gtt 556 557 enddo 558 enddo 559 560 return 561 end 562C----------------------------------------------------------------------- 563 subroutine setprecn_bp1 (d,h1,h2) 564C Generate diagonal preconditioner for Helmholtz operator 565C Input: h1,h2 Output: d 566 include 'SIZE' 567 include 'TOTAL' 568 569 parameter (lxyz=lx1*ly1*lz1,lg=3+3*(ldim-2)) 570 571 real*8 d(lx1,ly1,lz1,lelt),h1(lxyz,lelt),h2(lxyz,lelt) 572 integer e 573 574 real*8 gf(lg,lx1,ly1,lz1,lelt) ! Equivalence new gf() data 575 equivalence (gf,g1m1) ! layout to g1m1...g6m1 576 577 real*8 ysm1(ly1) 578 579 nel = nelfld(ifield) 580 n = nel*lx1*ly1*lz1 581 nxyz = lx1*ly1*lz1 582 583 call copy (d,bm1,n) ! Mass matrix preconditioning full mass matrix 584 call dssum (d,nx1,ny1,nz1) 585 call invcol1 (d,n) 586 return 587 588 call dsset(lx1,ly1,lz1) 589 590 do 1000 e=1,nel 591 592 call rzero(d(1,1,1,e),nxyz) 593 594 do 320 iz=1,lz1 595 do 320 iy=1,ly1 596 do 320 ix=1,lx1 597 do 320 iq=1,lx1 598 d(ix,iy,iz,e) = d(ix,iy,iz,e) 599 $ + gf(1,iq,iy,iz,e) * dxm1(iq,ix)**2 600 $ + gf(2,ix,iq,iz,e) * dxm1(iq,iy)**2 601 $ + gf(3,ix,iy,iq,e) * dxm1(iq,iz)**2 602 320 continue 603C 604C Add cross terms if element is deformed. 605C 606 if (lxyz.gt.0) then 607 608 do i2=1,ly1,ly1-1 609 do i1=1,lx1,lx1-1 610 d(1,i1,i2,e) = d(1,i1,i2,e) 611 $ + gf(4,1,i1,i2,e) * dxtm1(1,1)*dytm1(i1,i1) 612 $ + gf(5,1,i1,i2,e) * dxtm1(1,1)*dztm1(i2,i2) 613 d(lx1,i1,i2,e) = d(lx1,i1,i2,e) 614 $ + gf(4,lx1,i1,i2,e) * dxtm1(lx1,lx1)*dytm1(i1,i1) 615 $ + gf(5,lx1,i1,i2,e) * dxtm1(lx1,lx1)*dztm1(i2,i2) 616 d(i1,1,i2,e) = d(i1,1,i2,e) 617 $ + gf(4,i1,1,i2,e) * dytm1(1,1)*dxtm1(i1,i1) 618 $ + gf(6,i1,1,i2,e) * dytm1(1,1)*dztm1(i2,i2) 619 d(i1,ly1,i2,e) = d(i1,ly1,i2,e) 620 $ + gf(4,i1,ly1,i2,e) * dytm1(ly1,ly1)*dxtm1(i1,i1) 621 $ + gf(6,i1,ly1,i2,e) * dytm1(ly1,ly1)*dztm1(i2,i2) 622 d(i1,i2,1,e) = d(i1,i2,1,e) 623 $ + gf(5,i1,i2,1,e) * dztm1(1,1)*dxtm1(i1,i1) 624 $ + gf(6,i1,i2,1,e) * dztm1(1,1)*dytm1(i2,i2) 625 d(i1,i2,lz1,e) = d(i1,i2,lz1,e) 626 $ + gf(5,i1,i2,lz1,e) * dztm1(lz1,lz1)*dxtm1(i1,i1) 627 $ + gf(6,i1,i2,lz1,e) * dztm1(lz1,lz1)*dytm1(i2,i2) 628 629 enddo 630 enddo 631 endif 632 633 do i=1,lxyz 634 d(i,1,1,e)=d(i,1,1,e)*h1(i,e)+h2(i,e)*bm1(i,1,1,e) 635 enddo 636 637 1000 continue ! element loop 638 639C If axisymmetric, add a diagonal term in the radial direction (ISD=2) 640 641 if (ifaxis.and.(isd.eq.2)) then 642 do 1200 e=1,nel 643 if (ifrzer(e)) call mxm(ym1(1,1,1,e),lx1,datm1,ly1,ysm1,1) 644 k=0 645 do 1190 j=1,ly1 646 do 1190 i=1,lx1 647 k=k+1 648 if (ym1(i,j,1,e).ne.0.) then 649 term1 = bm1(i,j,1,e)/ym1(i,j,1,e)**2 650 if (ifrzer(e)) then 651 term2 = wxm1(i)*wam1(1)*dam1(1,j) 652 $ *jacm1(i,1,1,e)/ysm1(i) 653 else 654 term2 = 0. 655 endif 656 d(i,j,1,e) = d(i,j,1,e) + h1(k,e)*(term1+term2) 657 endif 658 1190 continue 659 1200 continue 660 661 endif 662 call dssum (d,nx1,ny1,nz1) 663 call invcol1 (d,n) 664 665 if (nio.eq.0) write(6,1) n,d(1,1,1,1),h1(1,1),h2(1,1),bm1(1,1,1,1) 666 1 format(i9,1p4e12.4,' diag prec') 667 668 return 669 end 670C----------------------------------------------------------------------- 671 subroutine setprecn_bp3 (d,h1,h2) 672C Generate dummy diagonal preconditioner for Helmholtz operator 673C Input: h1,h2 Output: d 674 include 'SIZE' 675 include 'TOTAL' 676 677 parameter (n=lx1*ly1*lz1*lelt) 678 real*8 d(n),h1(n),h2(n) 679 680 call rone (d,n) 681 682 return 683 end 684C----------------------------------------------------------------------- 685 subroutine userchk 686 include 'SIZE' 687 include 'TOTAL' 688 689 integer bp 690 691 call get_bp(bp) 692 693 if (bp==1) then 694 if (istep.gt.0) call bp1 695 elseif (bp==3) then 696 if (istep.gt.0) call bp3 697 else 698 write(6,*) "INVALID BP SPECIFICED" 699 endif 700 701 return 702 end 703C----------------------------------------------------------------------- 704 subroutine bp1 705C Solution to BP1 using libCEED 706 include 'SIZE' 707 include 'TOTAL' 708 include 'CTIMER' ! ifsync 709 include 'FDMH1' 710 include 'ceedf.h' 711 712 parameter (lzq=lx1+1) 713 parameter (lx=lx1*ly1*lz1,lg=3+3*(ldim-2),lq=lzq**ldim) 714 common /bpgfactors/ gf(lg*lq,lelt),bmq(lq,lelt),w3mq(lq) 715 716 parameter (lt=lx1*ly1*lz1*lelt) 717 parameter (ld=lxd*lyd*lzd*lelt) 718 common /vcrns/ u1(lt),r1(lt),r2(lt),r3(lt) 719 common /vcrny/ e1(lt) 720 common /vcrvh/ h1(lt),h2(lx*lelt),pap(3) 721 real*8 coords(ldim*lx*lelt) 722 723 logical ifh3 724 integer*8 nnode 725 integer ceed,err,test 726 character*64 spec 727 728 integer p,q,ncompx,ncompu,enode,lnode 729 integer vec_p1,vec_ap1,vec_qdata,vec_coords,vec_rhs 730 integer erstrctu,erstrctx,erstrctw 731 integer basisu,basisx 732 integer qf_mass,qf_setup 733 integer op_mass,op_setup 734 real*8 x,y,z 735 integer*8 offset 736 737 external massf,masssetupf 738 739 ifield = 1 740 nxq = nx1+1 741 n = nx1*ny1*nz1*nelt 742 743 ifsync = .false. 744 745C Set up coordinates 746 ii=0 747 do j=0,nelt-1 748 do i=1,lx 749 ii=ii+1 750 x = xm1(ii,1,1,1) 751 y = ym1(ii,1,1,1) 752 z = zm1(ii,1,1,1) 753 coords(i+0*lx+3*j*lx)=x 754 coords(i+1*lx+3*j*lx)=y 755 coords(i+2*lx+3*j*lx)=z 756 enddo 757 enddo 758 759C Init ceed library 760 call get_spec(spec) 761 call ceedinit(trim(spec)//char(0),ceed,err) 762 763 call get_test(test) 764 765C Set up Nek geometry data 766 call geodatq (gf,bmq,w3mq,nxq) ! Set up gf() arrays 767 call set_h2_as_rhoJac_GL(h2,bmq,nxq) 768 769C Set up true soln 770 call dist_fld_h1 (e1) 771 call copy (h1,e1,n) ! Save exact soln in h1 772 773C Set up solver parameters 774 tol = 1e-10 775 param(22) = tol 776 maxit = 100 777 778 call nekgsync() 779 780C Create ceed basis for mesh and computation 781 p=nx1 782 q=p+1 783 ncompu=1 784 ncompx=ldim 785 call ceedbasiscreatetensorh1lagrange(ceed,ndim,ndim,p,q, 786 $ ceed_gauss,basisx,err) 787 call ceedbasiscreatetensorh1lagrange(ceed,ndim,ncompu,p,q, 788 $ ceed_gauss,basisu,err) 789 790C Create ceed element restrictions for mesh and computation 791 enode=p**ldim 792 lnode=enode*nelt*ncompu 793 call ceedelemrestrictioncreateidentity(ceed, 794 $ ceed_noninterlaced, 795 $ nelt,enode,lnode,ldim,erstrctx,err) 796 call ceedelemrestrictioncreateidentity(ceed, 797 $ ceed_noninterlaced, 798 $ nelt,enode,lnode,ncompu,erstrctu,err) 799 call ceedelemrestrictioncreateidentity(ceed, 800 $ ceed_noninterlaced, 801 $ nelt,q**ldim,nelt*q**ldim,1,erstrctw,err) 802 803C Create ceed vectors 804 call ceedvectorcreate(ceed,lnode,vec_p1,err) 805 call ceedvectorcreate(ceed,lnode,vec_ap1,err) 806 call ceedvectorcreate(ceed,lnode,vec_rhs,err) 807 call ceedvectorcreate(ceed,ldim*lx*nelt,vec_coords,err) 808 call ceedvectorcreate(ceed,nelt*q**ldim,vec_qdata,err) 809 810 offset=0 811 call ceedvectorsetarray(vec_coords,ceed_mem_host, 812 $ ceed_use_pointer,coords,offset,err) 813 814C Create ceed qfunctions for masssetupf and massf 815 call ceedqfunctioncreateinterior(ceed,1,masssetupf, 816 $ EXAMPLE_DIR 817 $ //'bps/bps.h:masssetupf',qf_setup,err) 818 call ceedqfunctionaddinput(qf_setup,'x',ncompx, 819 $ ceed_eval_interp,err) 820 call ceedqfunctionaddinput(qf_setup,'dx',ncompx*ldim, 821 $ ceed_eval_grad,err) 822 call ceedqfunctionaddinput(qf_setup,'weight',ncompu, 823 $ ceed_eval_weight,err) 824 call ceedqfunctionaddoutput(qf_setup,'qdata',ncompu, 825 $ ceed_eval_none,err) 826 call ceedqfunctionaddoutput(qf_setup,'rhs',ncompu, 827 $ ceed_eval_interp,err) 828 829 call ceedqfunctioncreateinterior(ceed,1,massf, 830 $ EXAMPLE_DIR 831 $ //'bps/bps.h:massf',qf_mass,err) 832 call ceedqfunctionaddinput(qf_mass,'u',ncompu, 833 $ ceed_eval_interp,err) 834 call ceedqfunctionaddinput(qf_mass,'qdata',ncompu, 835 $ ceed_eval_none,err) 836 call ceedqfunctionaddoutput(qf_mass,'v',ncompu, 837 $ ceed_eval_interp,err) 838 839C Create ceed operators 840 call ceedoperatorcreate(ceed,qf_setup, 841 $ ceed_qfunction_none,ceed_qfunction_none,op_setup,err) 842 call ceedoperatorsetfield(op_setup,'x',erstrctx, 843 $ basisx,ceed_vector_active,err) 844 call ceedoperatorsetfield(op_setup,'dx',erstrctx, 845 $ basisx,ceed_vector_active,err) 846 call ceedoperatorsetfield(op_setup,'weight',erstrctx, 847 $ basisx,ceed_vector_none,err) 848 call ceedoperatorsetfield(op_setup,'qdata',erstrctw, 849 $ ceed_basis_collocated,ceed_vector_active,err) 850 call ceedoperatorsetfield(op_setup,'rhs',erstrctu, 851 $ basisu,vec_rhs,err) 852 853 call ceedoperatorcreate(ceed,qf_mass, 854 $ ceed_qfunction_none,ceed_qfunction_none,op_mass,err) 855 call ceedoperatorsetfield(op_mass,'u',erstrctu, 856 $ basisu,ceed_vector_active,err) 857 call ceedoperatorsetfield(op_mass,'qdata',erstrctw, 858 $ ceed_basis_collocated,vec_qdata,err) 859 call ceedoperatorsetfield(op_mass,'v',erstrctu, 860 $ basisu,ceed_vector_active,err) 861 862C Compute setup data 863 call ceedvectorsetarray(vec_rhs,ceed_mem_host, 864 $ ceed_use_pointer,r1,offset,err) 865 call ceedoperatorapply(op_setup,vec_coords,vec_qdata, 866 $ ceed_request_immediate,err) 867 868C Set up true RHS 869 call dssum (r1,nx1,ny1,nz1) ! r1 870 871C Set up algebraic RHS with libCEED 872 call ceedvectorsetarray(vec_p1,ceed_mem_host, 873 $ ceed_use_pointer,h1,offset,err) 874 call ceedvectorsetarray(vec_ap1,ceed_mem_host, 875 $ ceed_use_pointer,r2,offset,err) 876 call ceedoperatorapply(op_mass,vec_p1,vec_ap1, 877 $ ceed_request_immediate,err) ! r2 = A_ceed*h1 878 call dssum (r2,nx1,ny1,nz1) 879 880C Set up algebraic RHS with Nek5000 881 call axhm1 (pap,r3,h1,h1,h2,'bp1') ! r3 = A_nek5k*h1 882 call dssum (r3,nx1,ny1,nz1) 883 884 call nekgsync() 885 886C Solve true RHS 887 if (nid.eq.0) write (6,*) "libCEED true RHS" 888 tstart = dnekclock() 889 call cggos(u1,r1,h1,h2,vmult,binvm1,tol,ceed,op_mass, 890 $ vec_p1,vec_ap1,maxit,'bp1') 891 tstop = dnekclock() 892 893C Output 894 telaps = (tstop-tstart) 895 maxits = maxit 896 er1 = glrdif(u1,e1,n) 897 if (nid.eq.0) write(6,3) lx1,nelgv,er1,' error ',maxit 898 899 if (test.eq.1.and.nid.eq.0) then 900 if (maxit>=100) then 901 write(6,*) "UNCONVERGED CG" 902 endif 903 if (dabs(er1)>5e-3) then 904 write(6,*) "ERROR IS TOO LARGE" 905 endif 906 endif 907 908 nx = nx1-1 909 nnode = nelgt ! nnodes 910 nnode = nnode*(nx**ldim) ! nnodes 911 nppp = nnode/np ! nnodes/proc 912 913 dofps = nnode/telaps ! DOF/sec - scalar form 914 titers = telaps/maxits ! time per iteration 915 tppp_s = titers/nppp ! time per iteraton per local point 916 917 if (nid.eq.0) write(6,1) 'case scalar:' 918 $ ,np,nx,nelt,nelgt,nnode,nppp,maxits,telaps,dofps,titers,tppp_s 919 920C Solve libCEED algebraic RHS 921 if (nid.eq.0) write (6,*) "libCEED algebraic RHS" 922 maxit = 100 923 tstart = dnekclock() 924 call cggos(u1,r2,h1,h2,vmult,binvm1,tol,ceed,op_mass, 925 $ vec_p1,vec_ap1,maxit,'bp1') 926 tstop = dnekclock() 927 928C Output 929 telaps = (tstop-tstart) 930 maxits = maxit 931 er1 = glrdif(u1,e1,n) 932 if (nid.eq.0) write(6,3) lx1,nelgv,er1,' error ',maxit 933 934 if (test.eq.1.and.nid.eq.0) then 935 if (maxit>=100) then 936 write(6,*) "UNCONVERGED CG" 937 endif 938 if (dabs(er1)>1e-5) then 939 write(6,*) "ERROR IS TOO LARGE" 940 endif 941 endif 942 943 nx = nx1-1 944 nnode = nelgt ! nnodes 945 nnode = nnode*(nx**ldim) ! nnodes 946 nppp = nnode/np ! nnodes/proc 947 948 dofps = nnode/telaps ! DOF/sec - scalar form 949 titers = telaps/maxits ! time per iteration 950 tppp_s = titers/nppp ! time per iteraton per local point 951 952 if (nid.eq.0) write(6,1) 'case scalar:' 953 $ ,np,nx,nelt,nelgt,nnode,nppp,maxits,telaps,dofps,titers,tppp_s 954 955C Solve Nek5000 algebraic RHS 956 if (nid.eq.0) write (6,*) "Nek5000 algebraic RHS" 957 maxit = 100 958 tstart = dnekclock() 959 call cggos(u1,r3,h1,h2,vmult,binvm1,tol,ceed,op_mass, 960 $ vec_p1,vec_ap1,maxit,'bp1') 961 tstop = dnekclock() 962 963C Output 964 telaps = (tstop-tstart) 965 maxits = maxit 966 er1 = glrdif(u1,e1,n) 967 if (nid.eq.0) write(6,3) lx1,nelgv,er1,' error ',maxit 968 969 if (test.eq.1.and.nid.eq.0) then 970 if (maxit>=100) then 971 write(6,*) "UNCONVERGED CG" 972 endif 973 if (dabs(er1)>1e-5) then 974 write(6,*) "ERROR IS TOO LARGE" 975 endif 976 endif 977 978 nx = nx1-1 979 nnode = nelgt ! nnodes 980 nnode = nnode*(nx**ldim) ! nnodes 981 nppp = nnode/np ! nnodes/proc 982 983 dofps = nnode/telaps ! DOF/sec - scalar form 984 titers = telaps/maxits ! time per iteration 985 tppp_s = titers/nppp ! time per iteraton per local point 986 987 if (nid.eq.0) write(6,1) 'case scalar:' 988 $ ,np,nx,nelt,nelgt,nnode,nppp,maxits,telaps,dofps,titers,tppp_s 989 990 1 format(a12,i7,i3,i7,i10,i14,i10,i4,1p4e13.5) 991 3 format(i3,i9,e12.4,1x,a8,i9) 992 993C Destroy ceed handles 994 call ceedvectordestroy(vec_p1,err) 995 call ceedvectordestroy(vec_ap1,err) 996 call ceedvectordestroy(vec_rhs,err) 997 call ceedvectordestroy(vec_qdata,err) 998 call ceedvectordestroy(vec_coords,err) 999 call ceedelemrestrictiondestroy(erstrctu,err) 1000 call ceedelemrestrictiondestroy(erstrctx,err) 1001 call ceedelemrestrictiondestroy(erstrctw,err) 1002 call ceedbasisdestroy(basisu,err) 1003 call ceedbasisdestroy(basisx,err) 1004 call ceedqfunctiondestroy(qf_setup,err) 1005 call ceedqfunctiondestroy(qf_mass,err) 1006 call ceedoperatordestroy(op_setup,err) 1007 call ceedoperatordestroy(op_mass,err) 1008 call ceeddestroy(ceed,err) 1009 1010 return 1011 end 1012C----------------------------------------------------------------------- 1013 subroutine bp3 1014C Solution to BP3 using libCEED 1015 include 'SIZE' 1016 include 'TOTAL' 1017 include 'CTIMER' ! ifsync 1018 include 'FDMH1' 1019 include 'ceedf.h' 1020 1021 parameter (lzq=lx1+1) 1022 parameter (lx=lx1*ly1*lz1,lg=3+3*(ldim-2),lq=lzq**ldim) 1023 common /bpgfactors/ gf(lg*lq,lelt),bmq(lq,lelt),w3mq(lq) 1024 1025 parameter (lt=lx1*ly1*lz1*lelt) 1026 parameter (ld=lxd*lyd*lzd*lelt) 1027 common /vcrns/ u1(lt),r1(lt),r2(lt),r3(lt) 1028 common /vcrny/ e1(lt) 1029 common /vcrvh/ h1(lt),h2(ld),pap(3) 1030 real*8 coords(ldim*lx*lelt) 1031 1032 logical ifh3 1033 integer*8 nnode 1034 integer ceed,err,test 1035 character*64 spec 1036 1037 integer p,q,ncompx,ncompu,enode,lnode 1038 integer vec_p1,vec_ap1,vec_qdata,vec_coords,vec_rhs 1039 integer erstrctu,erstrctx,erstrctw 1040 integer basisu,basisx 1041 integer qf_diffusion,qf_setup 1042 integer op_diffusion,op_setup 1043 integer ii,i,ngeo 1044 real*8 x,y,z 1045 integer*8 offset 1046 1047 external diffusionf,diffsetupf 1048 1049 ifield = 1 1050 nxq = nx1+1 1051 n = nx1*ny1*nz1*nelt 1052 1053 ifsync = .false. 1054 1055C Set up coordinates and mask 1056 ii=0 1057 do j=0,nelt-1 1058 do i=1,lx 1059 ii=ii+1 1060 x = xm1(ii,1,1,1) 1061 y = ym1(ii,1,1,1) 1062 z = zm1(ii,1,1,1) 1063 coords(i+0*lx+3*j*lx)=x 1064 coords(i+1*lx+3*j*lx)=y 1065 coords(i+2*lx+3*j*lx)=z 1066 if ( x.eq.0.or.x.eq.1 1067 $ .or.y.eq.0.or.y.eq.1 1068 $ .or.z.eq.0.or.z.eq.1 ) then 1069 h2(ii)=0. 1070 else 1071 h2(ii)=1. 1072 endif 1073 enddo 1074 enddo 1075 1076C Init ceed library 1077 call get_spec(spec) 1078 call ceedinit(trim(spec)//char(0),ceed,err) 1079 1080 call get_test(test) 1081 1082C Set up Nek geometry data 1083 call geodatq (gf,bmq,w3mq,nxq) ! Set up gf() arrays 1084 1085C Set up true soln 1086 call sin_fld_h1 (e1) 1087 call xmask1 (e1,h2,nelt) 1088 call copy (h1,e1,n) ! Save exact soln in h1 1089 1090C Set up solver parameters 1091 tol = 1e-10 1092 param(22) = tol 1093 maxit = 100 1094 1095 call nekgsync() 1096 1097C Create ceed basis for mesh and computation 1098 p=nx1 1099 q=p+1 1100 ncompu=1 1101 ncompx=ldim 1102 call ceedbasiscreatetensorh1lagrange(ceed,ldim,ncompx,p,q, 1103 $ ceed_gauss,basisx,err) 1104 call ceedbasiscreatetensorh1lagrange(ceed,ldim,ncompu,p,q, 1105 $ ceed_gauss,basisu,err) 1106 1107C Create ceed element restrictions for mesh and computation 1108 enode=p**ldim 1109 lnode=enode*nelt*ncompu 1110 ngeo=(ldim*(ldim+1))/2 1111 call ceedelemrestrictioncreateidentity(ceed, 1112 $ ceed_noninterlaced, 1113 $ nelt,enode,lnode,ldim,erstrctx,err) 1114 call ceedelemrestrictioncreateidentity(ceed, 1115 $ ceed_noninterlaced, 1116 $ nelt,enode,lnode,ncompu,erstrctu,err) 1117 call ceedelemrestrictioncreateidentity(ceed, 1118 $ ceed_noninterlaced, 1119 $ nelt,q**ldim,nelt*q**ldim,ngeo,erstrctw,err) 1120 1121C Create ceed vectors 1122 call ceedvectorcreate(ceed,lnode,vec_p1,err) 1123 call ceedvectorcreate(ceed,lnode,vec_ap1,err) 1124 call ceedvectorcreate(ceed,lnode,vec_rhs,err) 1125 call ceedvectorcreate(ceed,ldim*lx*nelt,vec_coords,err) 1126 call ceedvectorcreate(ceed,nelt*ngeo*q**ldim,vec_qdata,err) 1127 1128 offset=0 1129 call ceedvectorsetarray(vec_coords,ceed_mem_host, 1130 $ ceed_use_pointer,coords,offset,err) 1131 1132C Create ceed qfunctions for diffsetupf and diffusionf 1133 call ceedqfunctioncreateinterior(ceed,1,diffsetupf, 1134 $ EXAMPLE_DIR 1135 $ //'bps/bps.h:diffsetupf'//char(0),qf_setup,err) 1136 call ceedqfunctionaddinput(qf_setup,'x',ncompx, 1137 $ ceed_eval_interp,err) 1138 call ceedqfunctionaddinput(qf_setup,'dx',ncompx*ldim, 1139 $ ceed_eval_grad,err) 1140 call ceedqfunctionaddinput(qf_setup,'weight',ncompu, 1141 $ ceed_eval_weight,err) 1142 call ceedqfunctionaddoutput(qf_setup,'qdata',ngeo, 1143 $ ceed_eval_none,err) 1144 call ceedqfunctionaddoutput(qf_setup,'rhs',ncompu, 1145 $ ceed_eval_interp,err) 1146 1147 call ceedqfunctioncreateinterior(ceed,1,diffusionf, 1148 $ EXAMPLE_DIR 1149 $ //'bps/bps.h:diffusionf'//char(0),qf_diffusion,err) 1150 call ceedqfunctionaddinput(qf_diffusion,'u',ncompu*ldim, 1151 $ ceed_eval_grad,err) 1152 call ceedqfunctionaddinput(qf_diffusion,'qdata',ngeo, 1153 $ ceed_eval_none,err) 1154 call ceedqfunctionaddoutput(qf_diffusion,'v',ncompu*ldim, 1155 $ ceed_eval_grad,err) 1156 1157C Create ceed operators 1158 call ceedoperatorcreate(ceed,qf_setup, 1159 $ ceed_qfunction_none,ceed_qfunction_none,op_setup,err) 1160 call ceedoperatorsetfield(op_setup,'x',erstrctx, 1161 $ basisx,ceed_vector_active,err) 1162 call ceedoperatorsetfield(op_setup,'dx',erstrctx, 1163 $ basisx,ceed_vector_active,err) 1164 call ceedoperatorsetfield(op_setup,'weight',erstrctx, 1165 $ basisx,ceed_vector_none,err) 1166 call ceedoperatorsetfield(op_setup,'qdata',erstrctw, 1167 $ ceed_basis_collocated,ceed_vector_active,err) 1168 call ceedoperatorsetfield(op_setup,'rhs',erstrctu, 1169 $ basisu,vec_rhs,err) 1170 1171 call ceedoperatorcreate(ceed,qf_diffusion, 1172 $ ceed_qfunction_none,ceed_qfunction_none,op_diffusion,err) 1173 call ceedoperatorsetfield(op_diffusion,'u',erstrctu, 1174 $ basisu,ceed_vector_active,err) 1175 call ceedoperatorsetfield(op_diffusion,'qdata',erstrctw, 1176 $ ceed_basis_collocated,vec_qdata,err) 1177 call ceedoperatorsetfield(op_diffusion,'v',erstrctu, 1178 $ basisu,ceed_vector_active,err) 1179 1180C Compute setup data 1181 call ceedvectorsetarray(vec_rhs,ceed_mem_host, 1182 $ ceed_use_pointer,r1,offset,err) 1183 call ceedoperatorapply(op_setup,vec_coords,vec_qdata, 1184 $ ceed_request_immediate,err) 1185 1186C Set up true RHS 1187 call dssum (r1,nx1,ny1,nz1) ! r1 1188 call xmask1 (r1,h2,nelt) 1189 1190C Set up algebraic RHS with libCEED 1191 call ceedvectorsetarray(vec_p1,ceed_mem_host, 1192 $ ceed_use_pointer,h1,offset,err) 1193 call ceedvectorsetarray(vec_ap1,ceed_mem_host, 1194 $ ceed_use_pointer,r2,offset,err) 1195 call ceedoperatorapply(op_diffusion,vec_p1,vec_ap1, 1196 $ ceed_request_immediate,err) ! r2 = A_ceed*h1 1197 call dssum (r2,nx1,ny1,nz1) 1198 call xmask1 (r2,h2,nelt) 1199 1200C Set up algebraic RHS with Nek5000 1201 call axhm1 (pap,r3,h1,h1,h2,'bp3') ! r3 = A_nek5k*h1 1202 call dssum (r3,nx1,ny1,nz1) 1203 call xmask1 (r3,h2,nelt) 1204 1205 call nekgsync() 1206 1207C Solve true RHS 1208 if (nid.eq.0) write (6,*) "libCEED true RHS" 1209 tstart = dnekclock() 1210 call cggos(u1,r1,h1,h2,vmult,binvm1,tol,ceed,op_diffusion, 1211 $ vec_p1,vec_ap1,maxit,'bp3') 1212 tstop = dnekclock() 1213 1214C Output 1215 telaps = (tstop-tstart) 1216 maxits = maxit 1217 er1 = glrdif(u1,e1,n) 1218 if (nid.eq.0) write(6,3) lx1,nelgv,er1,' error ',maxit 1219 1220 if (test.eq.1.and.nid.eq.0) then 1221 if (maxit>=100) then 1222 write(6,*) "UNCONVERGED CG" 1223 endif 1224 if (dabs(er1)>1e-3) then 1225 write(6,*) "ERROR IS TOO LARGE" 1226 endif 1227 endif 1228 1229 nx = nx1-1 1230 nnode = nelgt ! nnodes 1231 nnode = nnode*(nx**ldim) ! nnodes 1232 nppp = nnode/np ! nnodes/proc 1233 1234 dofps = nnode/telaps ! DOF/sec - scalar form 1235 titers = telaps/maxits ! time per iteration 1236 tppp_s = titers/nppp ! time per iteraton per local point 1237 1238 if (nid.eq.0) write(6,1) 'case scalar:' 1239 $ ,np,nx,nelt,nelgt,nnode,nppp,maxits,telaps,dofps,titers,tppp_s 1240 1241C Solve libCEED algebraic RHS 1242 if (nid.eq.0) write (6,*) "libCEED algebraic RHS" 1243 maxit = 100 1244 tstart = dnekclock() 1245 call cggos(u1,r2,h1,h2,vmult,binvm1,tol,ceed,op_diffusion, 1246 $ vec_p1,vec_ap1,maxit,'bp3') 1247 tstop = dnekclock() 1248 1249C Output 1250 telaps = (tstop-tstart) 1251 maxits = maxit 1252 er1 = glrdif(u1,e1,n) 1253 if (nid.eq.0) write(6,3) lx1,nelgv,er1,' error ',maxit 1254 1255 if (test.eq.1.and.nid.eq.0) then 1256 if (maxit>=100) then 1257 write(6,*) "UNCONVERGED CG" 1258 endif 1259 if (dabs(er1)>1e-9) then 1260 write(6,*) "ERROR IS TOO LARGE" 1261 endif 1262 endif 1263 1264 nx = nx1-1 1265 nnode = nelgt ! nnodes 1266 nnode = nnode*(nx**ldim) ! nnodes 1267 nppp = nnode/np ! nnodes/proc 1268 1269 dofps = nnode/telaps ! DOF/sec - scalar form 1270 titers = telaps/maxits ! time per iteration 1271 tppp_s = titers/nppp ! time per iteraton per local point 1272 1273 if (nid.eq.0) write(6,1) 'case scalar:' 1274 $ ,np,nx,nelt,nelgt,nnode,nppp,maxits,telaps,dofps,titers,tppp_s 1275 1276C Solve Nek5000 algebraic RHS 1277 if (nid.eq.0) write (6,*) "Nek5000 algebraic RHS" 1278 maxit = 100 1279 tstart = dnekclock() 1280 call cggos(u1,r3,h1,h2,vmult,binvm1,tol,ceed,op_diffusion, 1281 $ vec_p1,vec_ap1,maxit,'bp3') 1282 tstop = dnekclock() 1283 1284C Output 1285 telaps = (tstop-tstart) 1286 maxits = maxit 1287 er1 = glrdif(u1,e1,n) 1288 if (nid.eq.0) write(6,3) lx1,nelgv,er1,' error ',maxit 1289 1290 if (test.eq.1.and.nid.eq.0) then 1291 if (maxit>=100) then 1292 write(6,*) "UNCONVERGED CG" 1293 endif 1294 if (dabs(er1)>1e-9) then 1295 write(6,*) "ERROR IS TOO LARGE" 1296 endif 1297 endif 1298 1299 nx = nx1-1 1300 nnode = nelgt ! nnodes 1301 nnode = nnode*(nx**ldim) ! nnodes 1302 nppp = nnode/np ! nnodes/proc 1303 1304 dofps = nnode/telaps ! DOF/sec - scalar form 1305 titers = telaps/maxits ! time per iteration 1306 tppp_s = titers/nppp ! time per iteraton per local point 1307 1308 if (nid.eq.0) write(6,1) 'case scalar:' 1309 $ ,np,nx,nelt,nelgt,nnode,nppp,maxits,telaps,dofps,titers,tppp_s 1310 1311 1 format(a12,i7,i3,i7,i10,i14,i10,i4,1p4e13.5) 1312 3 format(i3,i9,e12.4,1x,a8,i9) 1313 1314C Destroy ceed handles 1315 call ceedvectordestroy(vec_p1,err) 1316 call ceedvectordestroy(vec_ap1,err) 1317 call ceedvectordestroy(vec_rhs,err) 1318 call ceedvectordestroy(vec_qdata,err) 1319 call ceedvectordestroy(vec_coords,err) 1320 call ceedelemrestrictiondestroy(erstrctu,err) 1321 call ceedelemrestrictiondestroy(erstrctx,err) 1322 call ceedelemrestrictiondestroy(erstrctw,err) 1323 call ceedbasisdestroy(basisu,err) 1324 call ceedbasisdestroy(basisx,err) 1325 call ceedqfunctiondestroy(qf_setup,err) 1326 call ceedqfunctiondestroy(qf_diffusion,err) 1327 call ceedoperatordestroy(op_setup,err) 1328 call ceedoperatordestroy(op_diffusion,err) 1329 call ceeddestroy(ceed,err) 1330 1331 return 1332 end 1333C----------------------------------------------------------------------- 1334 subroutine cggos(u1,r1,h1,h2,rmult,binv,tin,ceed,ceed_op,vec_p1, 1335 $ vec_ap1,maxit,bpname) 1336C Scalar conjugate gradient iteration for solution of uncoupled 1337C Helmholtz equations 1338C Input: r1,h1,h2,rmult,binv,tin,ceed,ceed_op,vec_p1,vec_ap1,bpname 1339C Output: u1,maxit 1340 include 'SIZE' 1341 include 'TOTAL' 1342 include 'DOMAIN' 1343 include 'FDMH1' 1344 character*3 bpname 1345 1346C INPUT: rhs1 - rhs 1347C h1 - exact solution 1348 1349 parameter (lt=lx1*ly1*lz1*lelt) 1350 parameter (ld=lxd*lyd*lzd*lelt) 1351 real*8 u1(lt),r1(lt),h1(lt),h2(lt) 1352 real*8 rmult(1),binv(1) 1353 integer ceed,ceed_op,vec_ap1,vec_p1 1354 common /scrcg/ dpc(lt),p1(lt),z1(lt) 1355 common /scrca/ wv(4),wk(4),rpp1(4),rpp2(4),alph(4),beta(4),pap(4) 1356 1357 real*8 ap1(lt) 1358 equivalence (ap1,z1) 1359 1360 vol = volfld(ifield) 1361 nel = nelfld(ifield) 1362 nxyz = lx1*ly1*lz1 1363 n = nxyz*nel 1364 nx = nx1-1 ! Polynomial order (just for i/o) 1365 1366 tol=tin 1367 1368 if(bpname.ne.'bp1') then 1369 call setprecn_bp3(dpc,h1,h2) ! Set up diagional pre-conidtioner 1370 else 1371 call setprecn_bp1(dpc,h1,h2) ! Set up diagional pre-conidtioner 1372 endif 1373 1374 call rzero (u1,n) ! Initialize solution 1375 1376 wv(1)=0 1377 do i=1,n 1378 s=rmult(i) ! -1 1379 p1(i)=dpc(i)*r1(i) ! p = M r T 1380 wv(1)=wv(1)+s*p1(i)*r1(i) ! r p 1381 enddo 1382 call gop(wv(1),wk,'+ ',1) 1383 rpp1(1) = wv (1) 1384 1385 do 1000 iter=1,maxit 1386 call axhm1_ceed (pap,ap1,p1,h1,h2,ceed,ceed_op, 1387 $ vec_ap1,vec_p1) 1388 call dssum (ap1,nx1,ny1,nz1) 1389 if (bpname.ne.'bp1') call xmask1(ap1,h2,nel) 1390 1391 call gop (pap,wk,'+ ',1) 1392 alph(1) = rpp1(1)/pap(1) 1393 1394 do i=1,n 1395 u1(i)=u1(i)+alph(1)* p1(i) 1396 r1(i)=r1(i)-alph(1)*ap1(i) 1397 enddo 1398 1399C tolerance check here 1400 call rzero(wv,2) 1401 do i=1,n 1402 wv(1)=wv(1)+r1(i)*r1(i) ! L2 error estimate 1403 z1(i)=dpc(i)*r1(i) ! z = M r 1404 wv(2)=wv(2)+rmult(i)*z1(i)*r1(i) ! r z 1405 enddo 1406 call gop(wv,wk,'+ ',2) 1407 1408C if (nio.eq.0) write(6,1) ifield,istep,iter,nx,(wv(k),k=1,1) 1409 1 format(i2,i9,i5,i4,1p1e12.4,' cggos') 1410 1411 enorm=sqrt(wv(1)) 1412 if (enorm.lt.tol) then 1413 ifin = iter 1414 if (nio.eq.0) write(6,3000) istep,ifin,enorm,tol 1415 goto 9999 1416 endif 1417C if (nio.eq.0) write(6,2) iter,enorm,alph(1),pap(1),'alpha' 1418 2 format(i5,1p3e12.4,2x,a5) 1419 1420 rpp2(1)=rpp1(1) 1421 rpp1(1)=wv (2) 1422 beta1 =rpp1(1)/rpp2(1) 1423 do i=1,n 1424 p1(i)=z1(i) + beta1*p1(i) 1425 enddo 1426 1427 1000 continue 1428 1429 rbnorm=sqrt(wv(1)) 1430 if (nio.eq.0) write (6,3001) istep,iter,rbnorm,tol 1431 iter = iter-1 1432 1433 9999 continue 1434 1435 maxit=iter 1436 1437 3000 format(i12,1x,'cggo scalar:',i6,1p5e13.4) 1438 3001 format(2i6,' Unconverged cggo scalar: rbnorm =',1p2e13.6) 1439 1440 return 1441 end 1442C----------------------------------------------------------------------- 1443 subroutine axhm1_ceed(pap,ap1,p1,h1,h2,ceed,ceed_op, 1444 $ vec_ap1,vec_p1) 1445C Vector conjugate gradient matvec for solution of uncoupled 1446C Helmholtz equations 1447C Input: pap,p1,h1,h2,bpname,ceed,ceed_op,vec_ap1,vec_p1 1448C Output: ap1 1449 include 'SIZE' 1450 include 'TOTAL' 1451 include 'ceedf.h' 1452 1453 parameter (lx=lx1*ly1*lz1,lg=3+3*(ldim-2)) 1454 real*8 gf(lg,lx,lelt) ! Equivalence new gf() data 1455 equivalence (gf,g1m1) ! layout to g1m1...g6m1 1456 1457 real*8 pap(3) 1458 real*8 ap1(lx,lelt) 1459 real*8 p1(lx,lelt) 1460 real*8 h1(lx,lelt),h2(lx,lelt) 1461 integer ceed,ceed_op,vec_ap1,vec_p1,err 1462 integer i,e 1463 integer*8 offset 1464 1465 offset=0 1466 call ceedvectorsetarray(vec_p1,ceed_mem_host,ceed_use_pointer, 1467 $ p1,offset,err) 1468 call ceedvectorsetarray(vec_ap1,ceed_mem_host,ceed_use_pointer, 1469 $ ap1,offset,err) 1470 1471 call ceedoperatorapply(ceed_op,vec_p1,vec_ap1, 1472 $ ceed_request_immediate,err) 1473 1474 call ceedvectorsyncarray(vec_ap1,ceed_mem_host,err) 1475 1476 pap(1)=0. 1477 1478 do e=1,nelt 1479 do i=1,lx 1480 pap(1)=pap(1)+ap1(i,e)*p1(i,e) 1481 enddo 1482 enddo 1483 1484 return 1485 end 1486C----------------------------------------------------------------------- 1487 subroutine ax_e_bp1(w,u,g,h1,h2,b,ju,us,ut) 1488C Local matrix-vector for solution of BP3 (stiffness matrix) 1489C Input: u,g,h1,h2,b,ju,us,ut Output: w 1490 include 'SIZE' 1491 include 'TOTAL' 1492 1493 parameter (lxyz=lx1*ly1*lz1,lg=3+3*(ldim-2)) 1494 real*8 w(lxyz),u(lxyz),g(lg,lxyz),h1(lxyz),h2(lxyz),b(lxyz) 1495 real*8 ju(lxyz),us(lxyz),ut(lxyz) 1496 1497 nxq = nx1+1 ! Number of quadrature points 1498 1499 lxyzq = nxq**ldim 1500 1501 call intp_rstd (ju,u,lx1,nxq,if3d,0) ! 0 --> Fwd interpolation 1502 do i=1,lxyzq 1503 ju(i)=ju(i)*h2(i) !! h2 must be on the fine grid, w/ quad wts 1504 enddo 1505 call intp_rstd (w,ju,lx1,nxq,if3d,1) ! 1 --> ju-->u 1506 1507 return 1508 end 1509C----------------------------------------------------------------------- 1510 subroutine axhm1_bp1(pap,ap1,p1,h1,h2) 1511C Vector conjugate gradient matvec for solution of BP1 (mass matrix) 1512C Input: pap,p1,h1,h2 Output: ap1 1513 include 'SIZE' 1514 include 'TOTAL' 1515 1516 parameter (lx=lx1*ly1*lz1,lg=3+3*(ldim-2)) 1517 real*8 gf(lg,lx,lelt) ! Equivalence new gf() data 1518 equivalence (gf,g1m1) ! layout to g1m1...g6m1 1519 1520 real*8 pap(3) 1521 real*8 ap1(lx,lelt) 1522 real*8 p1(lx,lelt) 1523 real*8 h1(lx,lelt),h2(lx,lelt) 1524 1525 real*8 ur(lx),us(lx),ut(lx) 1526 common /ctmp1/ ur,us,ut 1527 1528 integer e 1529 1530 pap(1)=0. 1531 1532 k=1 1533 nxq = nx1+1 1534 1535 do e=1,nelt 1536 1537 call ax_e_bp1(ap1(1,e),p1(1,e),gf(1,1,e),h1(1,e),h2(k,1) 1538 $ ,bm1(1,1,1,e),ur,us,ut) 1539 do i=1,lx 1540 pap(1)=pap(1)+ap1(i,e)*p1(i,e) 1541 enddo 1542 k=k+nxq*nxq*nxq 1543 1544 enddo 1545 1546 return 1547 end 1548C----------------------------------------------------------------------- 1549 subroutine ax_e_bp3(w,u,g,ur,us,ut,wk) 1550C Local matrix-vector for solution of BP3 (stiffness matrix) 1551C Input: u,g,ur,us,ut,wk Output: w 1552 include 'SIZE' 1553 include 'TOTAL' 1554 1555 parameter (lzq=lx1+1,lxyz=lx1*lx1*lx1,lxyzq=lzq*lzq*lzq) 1556 1557 common /ctmp0/ tmp(lxyzq) 1558 common /dxmfine/ dxmq(lzq,lzq),dxtmq(lzq,lzq) 1559 1560 real*8 ur(lxyzq),us(lxyzq),ut(lxyzq),wk(lxyzq) 1561 real*8 w(lxyz),u(lxyz),g(2*ldim,lxyzq) 1562 1563 n = lzq-1 1564 1565 call intp_rstd (wk,u,lx1,lzq,if3d,0) ! 0 --> Fwd interpolation 1566 call loc_grad3 (ur,us,ut,wk,n,dxmq,dxtmq) 1567 1568 do i=1,lxyzq 1569 wr = g(1,i)*ur(i) + g(2,i)*us(i) + g(3,i)*ut(i) 1570 ws = g(2,i)*ur(i) + g(4,i)*us(i) + g(5,i)*ut(i) 1571 wt = g(3,i)*ur(i) + g(5,i)*us(i) + g(6,i)*ut(i) 1572 ur(i) = wr 1573 us(i) = ws 1574 ut(i) = wt 1575 enddo 1576 1577 call loc_grad3t (wk,ur,us,ut,n,dxmq,dxtmq,tmp) 1578 call intp_rstd (w,wk,lx1,lzq,if3d,1) ! 1 --> ju-->u 1579 1580 return 1581 end 1582C----------------------------------------------------------------------- 1583 subroutine axhm1_bp3(pap,ap1,p1,h1,h2) 1584C Vector conjugate gradient matvec for solution of BP3 (stiffness matrix) 1585C Input: pap,p1,h1,h2 Output: ap1 1586 include 'SIZE' 1587 include 'TOTAL' 1588 1589 parameter (lzq=lx1+1) 1590 parameter (lx=lx1*ly1*lz1,lg=3+3*(ldim-2),lq=lzq**ldim) 1591 common /bpgfactors/ gf(lg,lq,lelt),bmq(lq,lelt),w3mq(lq) 1592 1593 real*8 pap(3) 1594 real*8 ap1(lx,lelt) 1595 real*8 p1(lx,lelt) 1596 real*8 h1(lx,lelt),h2(lx,lelt) 1597 1598 common /ctmp1/ ur,us,ut,wk 1599 real*8 ur(lq),us(lq),ut(lq),wk(lq) 1600 1601 integer e 1602 1603 pap(1)=0. 1604 1605 do e=1,nelt 1606 1607 call ax_e_bp3(ap1(1,e),p1(1,e),gf(1,1,e),ur,us,ut,wk) 1608 do i=1,lx 1609 pap(1)=pap(1)+p1(i,e)*ap1(i,e) 1610 enddo 1611 1612 enddo 1613 1614 return 1615 end 1616C----------------------------------------------------------------------- 1617 subroutine axhm1(pap,ap1,p1,h1,h2,bpname) 1618C Vector conjugate gradient matvec for solution of uncoupled 1619C Helmholtz equations 1620C Input: pap,p1,h1,h2,bpname Output: ap1 1621 include 'SIZE' 1622 include 'TOTAL' 1623 1624 parameter (lx=lx1*ly1*lz1) 1625 1626 real*8 pap(3),ap1(lx,lelt),p1(lx,lelt) 1627 real*8 h1(lx,lelt),h2(lx,lelt) 1628 1629 character*3 bpname 1630 1631 if (bpname.eq.'bp1') then 1632 call axhm1_bp1(pap,ap1,p1,h1,h2) 1633 1634 elseif (bpname.eq.'bp3') then 1635 call axhm1_bp3(pap,ap1,p1,h1,h2) 1636 1637 else 1638 write(6,*) bpname,' axhm1 bpname error' 1639 stop 1640 1641 endif 1642 1643 return 1644 end 1645C----------------------------------------------------------------------- 1646 subroutine get_bp(bp) 1647C Get BP to run 1648C Input: Output: bp 1649 integer i,bp 1650 character*64 bpval 1651 1652 bp=0 1653 if(iargc().ge.1) then 1654 call getarg(1,bpval) 1655 endif 1656 if(bpval.eq."bp1") then 1657 bp=1 1658 elseif(bpval.eq."bp3") then 1659 bp=3 1660 endif 1661 1662 return 1663 end 1664C----------------------------------------------------------------------- 1665 subroutine get_spec(spec) 1666C Get CEED backend specification 1667C Input: Output: spec 1668 integer i 1669 character*64 spec 1670 1671 spec = '/cpu/self' 1672 if(iargc().ge.2) then 1673 call getarg(2,spec) 1674 endif 1675 1676 return 1677 end 1678C----------------------------------------------------------------------- 1679 subroutine get_test(test) 1680C Get test mode flag 1681C Input: Output: test 1682 integer i,test 1683 character*64 testval 1684 1685 test=0 1686 if(iargc().ge.3) then 1687 call getarg(3,testval) 1688 endif 1689 if(testval.eq."test") then 1690 test=1 1691 endif 1692 1693 return 1694 end 1695C----------------------------------------------------------------------- 1696 1697