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/petsc/src/ts/tutorials/hamiltonian/output/
H A Dex3_sphere_3d.out4 …000e+00. Normalization grid 0: v_0= 1.326e+07 ( 4.424e-02c) n_0= 1.000e+20 t_0= 7.343e-06 1 batche…
/petsc/src/ts/tests/output/
H A Dex30_cgns.out4 …000e+00. Normalization grid 0: v_0= 1.326e+07 ( 4.424e-02c) n_0= 1.000e+20 t_0= 7.343e-06 4 batche…
H A Dex30_conserve.out4 …000e+00. Normalization grid 0: v_0= 1.326e+07 ( 4.424e-02c) n_0= 1.000e+20 t_0= 7.343e-06 4 batche…
H A Dex30_3d.out4 …000e+00. Normalization grid 0: v_0= 1.876e+07 ( 6.256e-02c) n_0= 1.000e+20 t_0= 1.909e-05 1 batche…
H A Dex30_0.out4 …160e+07. Normalization grid 0: v_0= 1.876e+07 ( 6.256e-02c) n_0= 1.000e+20 t_0= 1.909e-05 4 batche…
/petsc/src/ts/utils/dmplexlandau/tutorials/output/
H A Dex2_single.out4 …000e+00. Normalization grid 0: v_0= 1.326e+07 ( 4.424e-02c) n_0= 1.000e+20 t_0= 7.343e-06 1 batche…
H A Dex2_sphere_3d.out4 …000e+00. Normalization grid 0: v_0= 1.876e+07 ( 6.256e-02c) n_0= 1.000e+20 t_0= 1.909e-05 1 batche…
H A Dex1_sphere.out4 …000e+00. Normalization grid 0: v_0= 1.876e+07 ( 6.256e-02c) n_0= 1.000e+20 t_0= 1.909e-05 1 batche…
H A Dex1_0.out4 …000e+00. Normalization grid 0: v_0= 7.264e+06 ( 2.423e-02c) n_0= 1.000e+20 t_0= 1.424e-06 1 batche…
H A Dex1f90_0.out4 …802e+06. Normalization grid 1: v_0= 4.894e+05 ( 1.633e-03c) n_0= 1.000e+20 t_0= 3.161e-03 1 batche…
H A Dex2_simplex.out4 …000e+00. Normalization grid 0: v_0= 1.876e+07 ( 6.256e-02c) n_0= 1.000e+20 t_0= 1.909e-05 1 batche…
H A Dex2_0.out4 …000e+00. Normalization grid 0: v_0= 2.965e+07 ( 9.892e-02c) n_0= 5.000e+19 t_0= 1.363e-04 2 batche…
H A Dex1_re.out4 …000e+00. Normalization grid 0: v_0= 1.876e+07 ( 6.256e-02c) n_0= 1.000e+20 t_0= 1.909e-05 1 batche…
/petsc/src/ts/utils/dmplexlandau/tutorials/
H A Dex1.c213 …all(PetscPrintf(PETSC_COMM_WORLD, "nrl-step %d time= %g ", (int)stepi, (double)(time / ctx->t_0))); in Monitor_nrl()
308 dt_real = dt * ctx->t_0; in Monitor()
411 PetscReal finalTime, dt_real, tstart = dt0 * ctx->t_0 / 2; // hack in main()
415 dt_real = dt0 * ctx->t_0; in main()
418 finalTime *= ctx->t_0; in main()
H A Dex2.c333 dJ_dt = -ctx->n_0 * PetscRealPart(tt[0]) / ctx->t_0; in EInduction()
445 …cCall(DMSetOutputSequenceNumber(ctx->plex[rectx->grid_view_idx], rectx->plotIdx, time * ctx->t_0)); in Monitor()
/petsc/doc/manual/
H A Dts.md54 F(t,u,\dot{u}) = G(t,u), \quad u(t_0) = u_0.
1122 F(t,y,\dot{y},p) = 0, \quad y(t_0)=y_0(p) \quad t_0 \le t \le t_F
1128 \Psi_i(y_0,p) = \Phi_i(y_F,p) + \int_{t_0}^{t_F} r_i(y(t),p,t)dt \quad i=1,...,n_\text{cost}.
1249 …2H/\omega_S \, \omega' & =& p_m - p_{max} sin(\phi) -D (\omega - \omega_S), \quad t_0 \leq t \leq …
1255 The initial conditions at time $t_0$ are
1259 \phi(t_0) &=& \arcsin \left( p_m / p_{max} \right), \\
1260 w(t_0) & =& 1.\end{aligned}
1272 \Psi(p_m,\phi) = -p_m + c \int_{t_0}^{t_F} \left( \max(0, \phi - \phi_S ) \right)^2 dt
1294 (at time $t_0$) directly. And the sensitivity of the cost function
1298 …ac{\mathrm{d} \Psi}{\mathrm{d} p_m} = \mu(t_0) + \lambda(t_0) \frac{\mathrm{d} \left[ \phi(t_0) \…
/petsc/include/
H A Dpetsclandau.h156 PetscReal t_0; /* reference time */ member
/petsc/src/ts/utils/dmplexlandau/
H A Dplexland.c140 …Eq_m[fieldA] = ctx->Ez * ctx->t_0 * ctx->charges[fieldA] / (ctx->v_0 * ctx->masses[fieldA]); /* no… in LandauFormJacobian_Internal()
1243 …ctx->t_0 = 8 * PETSC_PI * PetscSqr(ctx->epsilon0 * ctx->m_0 / PetscSqr(ctx->charges[non_dim_grid])… in ProcessOptions()
1351 …->v_0, (double)(ctx->v_0 / SPEED_OF_LIGHT), (double)ctx->n_0, (double)ctx->t_0, ctx->batch_sz, ctx… in ProcessOptions()
1420 …nu_beta[ii] = PetscSqr(ctx->charges[ii] / ctx->epsilon0) / (8 * PETSC_PI) * ctx->t_0 * ctx->n_0 /… in CreateStaticData()