Implementation and Validation of Semi-Implicit WENO Schemes Using OpenFOAM®

Computation

Ivan Shevchuk¹  Tobias Martin² 

[1] Chair of Modeling and Simulation, University of Rostock, 18059 Rostock, Germany;Department of Civil and Environmental Engineering, Norwegian University of Science and Technology, 7491 Trondheim, Norway;

关键词: CFD;    high-order methods;    WENO reconstruction;    semi-implicit;    unstructured grids;   

DOI  :  10.3390/computation6010006

来源: DOAJ

【 摘 要 】

In this article, the development of high-order semi-implicit interpolation schemes for convection terms on unstructured grids is presented. It is based on weighted essentially non-oscillatory (WENO) reconstructions which can be applied to the evaluation of any field in finite volumes using its known cell-averaged values. Here, the algorithm handles convex cells in arbitrary three-dimensional meshes. The implementation is parallelized using the Message Passing Interface. All schemes are embedded in the code structure of OpenFOAM® resulting in the access to a huge open-source community and the applicability to high-level programming. Several verification cases and applications of the scalar advection equation and the incompressible Navier-Stokes equations show the improved accuracy of the WENO approach due to a mapping of the stencil to a reference space without scaling effects. An efficiency analysis indicates an increased computational effort of high-order schemes in comparison to available high-resolution methods. However, the reconstruction time can be efficiently decreased when more processors are used.

【 授权许可】

Unknown