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Functions/Subroutines
bilsc4.f90 File Reference

This function adds the explicit part of the convection/diffusion terms of a transport equation of a vector field $ \vect{\varia} $. More...

Functions/Subroutines

subroutine bilsc4
 

Detailed Description

This function adds the explicit part of the convection/diffusion terms of a transport equation of a vector field $ \vect{\varia} $.

More precisely, the right hand side $ \vect{Rhs} $ is updated as follows:

\[ \vect{Rhs} = \vect{Rhs} + \sum_{\fij \in \Facei{\celli}} \left( \dot{m}_\ij \vect{\varia}_\fij - \mu_\fij \gradt_\fij \vect{\varia} \cdot \vect{S}_\ij \right) \]

Remark: if ivisep = 1, then we also take $ \mu \transpose{\gradt\vect{\varia}} + \lambda \trace{\gradt\vect{\varia}} $, where $ \lambda $ is the secondary viscosity, i.e. usually $ -\frac{2}{3} \mu $.

Warning: $ \vect{Rhs} $ has already been initialized before calling bilsc!

Options:

Function/Subroutine Documentation

subroutine bilsc4 ( )
Parameters
[in]nvartotal number of variables
[in]nscaltotal number of scalars
[in]idtvarindicator of the temporal scheme
[in]ivarindex of the current variable
[in]iconvpindicator
  • 1 convection,
  • 0 sinon
[in]idiffpindicator
  • 1 diffusion,
  • 0 sinon
[in]nswrgpnumber of reconstruction sweeps for the gradients
[in]imligpclipping gradient method
  • < 0 no clipping
  • = 0 thank to neighbooring gradients
  • = 1 thank to the mean gradient
[in]ircflpindicator
  • 1 flux reconstruction,
  • 0 otherwise
[in]ischcpindicator
  • 1 centred
  • 0 2nd order
[in]isstppindicator
  • 1 without slope test
  • 0 with slope test
[in]incindicator
  • 0 when solving an increment
  • 1 otherwise
[in]imrgraindicator
  • 0 iterative gradient
  • 1 least square gradient
[in]ivisepindicator to take $ \divv \left(\mu \gradt \transpose{\vect{a}} \right) -2/3 \grad\left( \mu \dive \vect{a} \right)$
  • 1 take into account,
  • 0 otherwise
[in]ipp*index of the variable for post-processing
[in]iwarnpverbosity
[in]blencpfraction of upwinding
[in]epsrgprelative precision for the gradient reconstruction
[in]climgpclipping coeffecient for the computation of the gradient
[in]extrapcoefficient for extrapolation of the gradient
[in]relaxpcoefficient of relaxation
[in]thetapweightening coefficient for the theta-schema,
  • thetap = 0: explicit scheme
  • thetap = 0.5: time-centred scheme (mix between Crank-Nicolson and Adams-Bashforth)
  • thetap = 1: implicit scheme
[in]pvarvitesse resolue (instant courant)
[in]pvaravitesse resolue (instant precedent)
[in]coefavboundary condition array for the variable (Explicit part)
[in]coefbvboundary condition array for the variable (Impplicit part)
[in]cofafvboundary condition array for the diffusion of the variable (Explicit part)
[in]cofbfvboundary condition array for the diffusion of the variable (Implicit part)
[in]flumasmass flux at interior faces
[in]flumabmass flux at boundary faces
[in]viscf$ \mu_\fij \dfrac{S_\fij}{\ipf \jpf} $ at interior faces for the r.h.s.
[in]viscb$ \mu_\fib \dfrac{S_\fib}{\ipf \centf} $ at border faces for the r.h.s.
[in]secvifsecondary viscosity at interior faces
[in]secvibsecondary viscosity at boundary faces
[in,out]smbrright hand side $ \vect{Rhs} $

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