sigma (reference) in projects: libCEED - OpenGrok search results

Searched refs:sigma (Results 1 – 8 of 8) sorted by relevance

/libCEED/examples/solids/
H A D	index.md	16 The effect of these linearizations is sketched in the diagram below, where $\bm \sigma$ and $\bm \e… 23 …@V{\text{geometric}}V{\begin{smallmatrix}\bm E \to \bm \epsilon \\ \bm S \to \bm \sigma \end{small… 24 …@V{\begin{smallmatrix}\bm E \to \bm \epsilon \\ \bm S \to \bm \sigma \end{smallmatrix}}V{\text{geo… 25 {\underbrace{\bm \sigma(\bm \epsilon)}_\text{Small Strain Hyperelastic}} 27 {\underbrace{\bm \sigma = \mathsf C \bm \epsilon}_\text{Linear Elastic}} 47 \nabla \cdot \bm{\sigma} + \bm{g} = \bm{0} 50 where $\bm{\sigma}$ and $\bm{g}$ are stress and forcing functions, respectively. 54 \int_{\Omega}{ \nabla \bm{v} \tcolon \bm{\sigma}} \, dV 55 - \int_{\partial \Omega}{\bm{v} \cdot \left(\bm{\sigma} \cdot \hat{\bm{n}}\right)} \, dS 60 where $\bm{\sigma} \cdot \hat{\bm{n}}\|_{\partial \Omega}$ is replaced by an applied force/traction … [all …]
/libCEED/examples/fluids/qfunctions/
H A D	stg_shur14.h	162 const CeedScalar sigma = &stg_ctx->data[stg_ctx->offsets.sigma]; in StgShur14Calc() local 172 vp[0] += sqrt(qn[n]) sigma[0 * nmodes + n] * cos_kxdp; in StgShur14Calc() 173 vp[1] += sqrt(qn[n]) * sigma[1 * nmodes + n] * cos_kxdp; in StgShur14Calc() 174 vp[2] += sqrt(qn[n]) * sigma[2 * nmodes + n] * cos_kxdp; in StgShur14Calc() 205 const CeedScalar sigma = &stg_ctx->data[stg_ctx->offsets.sigma]; in StgShur14Calc_PrecompEktot() local 219 vp[0] += sqrt(qn) sigma[0 * nmodes + n] * cos_kxdp; in StgShur14Calc_PrecompEktot() 220 vp[1] += sqrt(qn) * sigma[1 * nmodes + n] * cos_kxdp; in StgShur14Calc_PrecompEktot() 221 vp[2] += sqrt(qn) * sigma[2 * nmodes + n] * cos_kxdp; in StgShur14Calc_PrecompEktot()
H A D	newtonian.h	21 …r(const NewtonianIdealGasContext context, const State s, const CeedScalar sigma, CeedScalar damp_Y… in InternalDampingLayer() argument 23 ScaleN(damp_Y, sigma, 5); in InternalDampingLayer() 193 …const CeedScalar sigma = LinearRampCoefficient(context->idl_amplitude, context->idl_length… in RHSFunction_Newtonian() local 195 InternalDampingLayer(context, s, sigma, damp_state, idl_residual); in RHSFunction_Newtonian() 272 …const CeedScalar sigma = LinearRampCoefficient(context->idl_amplitude, context->idl_length, contex… in IFunction_Newtonian() local 273 StoredValuesPack(Q, i, 14, 1, &sigma, jac_data); in IFunction_Newtonian() 275 InternalDampingLayer(context, s, sigma, damp_state, idl_residual); in IFunction_Newtonian() 361 const CeedScalar sigma = jac_data[14 * Q + i]; in IJacobian_Newtonian() local 364 InternalDampingLayer(context, s, sigma, damp_state, idl_residual); in IJacobian_Newtonian()
H A D	stg_shur14_type.h	`37 size_t sigma, d, phi; // !< Random number set, [nmodes,3], [nmodes,3], [nmodes] member`
/libCEED/examples/fluids/problems/
H A D	stg_shur14.c	`133 …CeedScalar(sigma)[stg_ctx->nmodes] = (CeedScalar()[stg_ctx->nmodes]) & stg_ctx->data[stg_ctx->of… in ReadStgRand() local 145 sigma[0][i] = (CeedScalar)atof(array[4]); in ReadStgRand() 146 sigma[1][i] = (CeedScalar)atof(array[5]); in ReadStgRand() 147 sigma[2][i] = (CeedScalar)atof(array[6]); in ReadStgRand() 183 temp_ctx->offsets.sigma = 0; in GetStgContextData()`
/libCEED/examples/solids/qfunctions/
H A D	linear.h	`103 const CeedScalar sigma[3][3] = { in ElasResidual_Linear() local 113 for (CeedInt m = 0; m < 3; m++) dvdX[k][j][i] += dXdx[k][m] * sigma[j][m] * wdetJ; in ElasResidual_Linear()`
/libCEED/examples/fluids/
H A D	index.md	22 … \nabla \cdot \left( \frac{\bm{U} \otimes \bm{U}}{\rho} + P \bm{I}_3 -\bm\sigma \right) - \rho \bm… 23 …al t} + \nabla \cdot \left( \frac{(E + P)\bm{U}}{\rho} -\bm{u} \cdot \bm{\sigma} - k \nabla T \rig… 27 where $\bm{\sigma} = \mu(\nabla \bm{u} + (\nabla \bm{u})^T + \lambda (\nabla \cdot \bm{u})\bm{I}_3)… 60 - \bm{\sigma} \\ 61 - \bm{u} \cdot \bm{\sigma} - k \nabla T 623 \rho &= \rho_\infty\left(1+A\exp\left(\frac{-(\bar{x}^2 + \bar{y}^2)}{2\sigma^2}\right)\right) \\ 625 E &= \frac{p_\infty}{\gamma -1}\left(1+A\exp\left(\frac{-(\bar{x}^2 + \bar{y}^2)}{2\sigma^2}\right)… 629 where $A$ and $\sigma$ are the amplitude and width of the perturbation, respectively, and $(\bar{x}… 726 \bm{v}' &= 2 \sqrt{3/2} \sum^N_{n=1} \sqrt{q^n(\bm{x})} \bm{\sigma}^n \cos(\kappa^n \bm{d}^n \cdot … 731 Here, we define the number of wavemodes $N$, set of random numbers $ \{\bm{\sigma}^n, [all …]
/libCEED/interface/
H A D	ceed-basis.c	1178 CeedScalar sigma = 0.0; in CeedQRFactorization() local 1188 sigma += v[j] * v[j]; in CeedQRFactorization() 1190 const CeedScalar norm = sqrt(v[i] * v[i] + sigma); // norm of v[i:m] in CeedQRFactorization() 1197 tau[i] = 2 * v[i] * v[i] / (v[i] * v[i] + sigma); in CeedQRFactorization() 1315 CeedScalar sigma = 0.0; in CeedSymmetricSchurDecomposition() local 1320 sigma += v[j] * v[j]; in CeedSymmetricSchurDecomposition() 1322 const CeedScalar norm = sqrt(v[i] * v[i] + sigma); // norm of v[i:n-1] in CeedSymmetricSchurDecomposition() 1329 tau[i] = i == n - 2 ? 2 : 2 * v[i] * v[i] / (v[i] * v[i] + sigma); in CeedSymmetricSchurDecomposition()

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