Extend-bazaar/Toolkits/DivSchemeVONOS

1 Description

This code implements Variable-Order Non-Oscillatory Scheme (VONOS) which can be used as a divScheme. This scheme is NVD but doesn't meet TVD criteria.

Reference: https://www.cfd-online.com/Wiki/Approximation_Schemes#VONOS_-_Variable-Order_Non-Oscillatory_Scheme

2 Installation

Valid versions:

• Download from https://github.com/HobbyFoamer/DivSchemeVONOS

• Move files by

 
mkdir $FOAM_SRC/finiteVolume/interpolation/surfaceInterpolation/limitedSchemes/VONOS
mv VONOS.H VONOS.C $FOAM_SRC/finiteVolume/interpolation/surfaceInterpolation/limitedSchemes/VONOS

• Modify $FOAM_SRC/finiteVolume/Make/files by adding a line in the $(limitedSchemes) section, for example:

 
$(limitedSchemes)/limitWith/limitWith.C
$(limitedSchemes)/VONOS/VONOS.C

• Compile

 
cd $FOAM_SRC/..
./Allwmake.firstInstall

3 Usage examples

To use this code, insert into fvSchemes:

 
divSchemes
{
    div(phi,U)      Gauss VONOSV; // VONOS scheme for vector
    div(phi,U)      Gauss VONOSVDC; // Deferred correction VONOS scheme for vector
    div(phi,k)      Gauss VONOS; // VONOS scheme for scalar
    div(phi,k)      Gauss VONOSDC; // Deferred correction VONOS scheme for vector
}

4 Documentation

This implementation is based on publication by Varonos et al (1998).

5 History

31 Jan 2019: First upload