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Searched refs:density (Results 1 – 18 of 18) sorted by relevance

/libCEED/examples/fluids/qfunctions/
H A Driemann_solver.h105 RoeWeights r = RoeSetup(left.U.density, right.U.density); in ComputeHLLSpeeds_Roe()
126 RoeWeights r = RoeSetup(left.U.density, right.U.density); in ComputeHLLSpeeds_Roe_fwd()
127 RoeWeights dr = RoeSetup_fwd(left.U.density, right.U.density, dleft.U.density, dright.U.density); in ComputeHLLSpeeds_Roe_fwd()
221 CeedScalar fact = side.U.density * (s_side - u_side) / (s_side - s_star); in RiemannFlux_HLLC_Star()
222 CeedScalar denom = side.U.density * (s_side - u_side); in RiemannFlux_HLLC_Star()
231 side.U.E_total / side.U.density // in RiemannFlux_HLLC_Star()
241 CeedScalar fact = side.U.density * (s_side - u_side) / (s_side - s_star); in RiemannFlux_HLLC_Star_fwd()
242 …CeedScalar dfact = (side.U.density * (ds_side - du_side) + dside.U.density * (s_side - u_side)) / … in RiemannFlux_HLLC_Star_fwd()
244 CeedScalar denom = side.U.density * (s_side - u_side); in RiemannFlux_HLLC_Star_fwd()
245 CeedScalar ddenom = side.U.density * (ds_side - du_side) + dside.U.density * (s_side - u_side); in RiemannFlux_HLLC_Star_fwd()
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H A Dnewtonian_state.h21 CeedScalar density; member
32 U[0] = s.density; in UnpackState_U()
62 return e_internal + e_kinetic + s.Y.pressure / s.U.density; in TotalSpecificEnthalpy()
68 …de_internal + de_kinetic + ds.Y.pressure / s.U.density - s.Y.pressure / Square(s.U.density) * ds.U… in TotalSpecificEnthalpy_fwd()
73 for (CeedInt i = 0; i < 3; i++) Y.velocity[i] = U.momentum[i] / U.density; in StatePrimitiveFromConservative()
75 CeedScalar e_total = U.E_total / U.density; in StatePrimitiveFromConservative()
78 Y.pressure = (HeatCapacityRatio(gas) - 1) * U.density * e_internal; in StatePrimitiveFromConservative()
85 dY.velocity[i] = (dU.momentum[i] - s.Y.velocity[i] * dU.density) / s.U.density; in StatePrimitiveFromConservative_fwd()
89 CeedScalar e_total = s.U.E_total / s.U.density; in StatePrimitiveFromConservative_fwd()
90 CeedScalar de_total = (dU.E_total - e_total * dU.density) / s.U.density; in StatePrimitiveFromConservative_fwd()
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H A Dturb_spanstats.h28 v[TURB_MEAN_DENSITY][i] = wdetJ * s.U.density; in ChildStatsCollection()
34 v[TURB_MEAN_DENSITY_TEMPERATURE][i] = wdetJ * s.U.density * s.Y.temperature; in ChildStatsCollection()
35 …v[TURB_MEAN_DENSITY_TEMPERATURE_FLUX_X][i] = wdetJ * s.U.density * s.Y.temperature * s.Y.velocity[… in ChildStatsCollection()
36 …v[TURB_MEAN_DENSITY_TEMPERATURE_FLUX_Y][i] = wdetJ * s.U.density * s.Y.temperature * s.Y.velocity[… in ChildStatsCollection()
37 …v[TURB_MEAN_DENSITY_TEMPERATURE_FLUX_Z][i] = wdetJ * s.U.density * s.Y.temperature * s.Y.velocity[… in ChildStatsCollection()
H A Dblasius.h117 const CeedScalar x0 = U_infty * S_infty.U.density / (mu * 25 / Square(delta0)); in ICsBlasius()
121 State s = BlasiusSolution(context, x, x0, x_inflow, S_infty.U.density, &t12); in ICsBlasius()
142 const CeedScalar rho_0 = S_infty.U.density; in Blasius_Inflow()
162 s.U.density = s_int.U.density; in Blasius_Inflow()
199 const CeedScalar rho_0 = S_infty.U.density; in Blasius_Inflow_Jacobian()
H A Dgaussianwave.h48 …const CeedScalar e_kinetic = 0.5 * S_infty.U.density * Dot3(S_infty.Y.velocity, S_infty.Y.velocity… in IC_GaussianWave()
52 U[0] = S_infty.U.density * perturbation; in IC_GaussianWave()
H A Dnewtonian.h189 …const CeedScalar body_force[5] = {0, s.U.density * g[0], s.U.density * g[1], s.U.density * g[2], D… in RHSFunction_Newtonian()
262 …const CeedScalar body_force[5] = {0, s.U.density * g[0], s.U.density * g[1], s.U.density * g[2], D… in IFunction_Newtonian()
355 …const CeedScalar dbody_force[5] = {0, ds.U.density * g[0], ds.U.density * g[1], ds.U.density * g[2… in IJacobian_Newtonian()
H A Dstabilization.h81 const CeedScalar rho = s.U.density; in Tau_diagPrim()
/libCEED/examples/fluids/
H A DREADME.md8 The state variables are mass density, momentum density, and energy density.
302 … pure advection, which holds density $\rho$ and momentum density $\rho \bm u$ constant while advec…
804 - Axis of density current cylindrical anomaly, or `(0,0,0)` for spherically symmetric
H A Dindex.md28 …mass density, $U$ the momentum density (defined as $\bm{U}=\rho \bm{u}$, where $\bm{u}$ is the vec…
45 …row\textrm{ volume mass density}\\ \leftarrow\textrm{ momentum density}\\ \l…
318 …he exact solution to the Euler equations, and the so called {ref}`problem-density-current` problem.
534 …We have solved {eq}`eq-advection` applying zero energy density $E$, and no-flux for $\bm{u}$ on th…
588 …s taken to be the acoustic speed while the reference density $\rho_{ref}$ is just the local densit…
600 …ortional to the element length in the direction of the density gradient unit vector. This density …
614 (problem-density-current)=
659 where $\rho_\infty, u_\infty$ are the freestream (inflow) density and velocity respectively.
694 the velocity is prescribed by the Blasius soution profile, density is set
695 constant, and temperature is allowed to float. Using `weakT: true`, density is
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/libCEED/examples/solids/
H A Dindex.md83 Here, we define a strain energy density functional $\Phi(\bm \epsilon) \in \mathbb R$ and obtain th…
90 The strain energy density functional cannot be an arbitrary function $\Phi(\bm \epsilon)$; it can o…
99 For the linear elasticity model, the strain energy density is given by
144 However, the strain energy density differs and is given by
239 $\rho_0$ is known as the *initial* mass density.
268 Recall that the strain energy density functional can only depend upon invariants.
322 A coupled Mooney-Rivlin strain energy density (cf. Neo-Hookean {eq}`neo-hookean-energy`) is {cite}`…
H A DREADME.md225 …name{trace} \bm{E}$, $\operatorname{trace} \bm{E}^2$, $\lvert J \rvert$, and strain energy density.
/libCEED/julia/LibCEED.jl/examples/
H A Dex2-surface.jl8 # map [0,1] to [0,1] varying the mesh density
H A Dex1-volume.jl9 # map [0,1] to [0,1] varying the mesh density
H A Dex3-volume.jl9 # map [0,1] to [0,1] varying the mesh density
H A Dex1-volume-c.jl192 # map [0,1] to [0,1] varying the mesh density
/libCEED/doc/papers/joss/
H A Dpaper.md156 …ime integration; \autoref{fig:NSvortices} shows vortices arising in the "density current" [@straka…
161 ![Strain energy density in a twisted Neo-Hookean beam.\label{fig:Solids}](img/SolidTwistExample.jpe…
H A Dpaper.bib324 title={Numerical solutions of a non-linear density current: A benchmark solution and comparisons},
/libCEED/doc/sphinx/source/
H A Dreferences.bib92 …title = {Numerical solutions of a non-linear density current: A benchmark solution and compari…