A finite volume formulation of compact central schemes on arbitrary structured grids

Authors:
Chris Lacor;Sergey Smirnov;Martine Baelmans
Affiliations:
Department of Fluid Mechanics, Vrije Universiteit Brussel, Pleinlaan 2, Brussel 1050, Belgium;Department of Fluid Mechanics, Vrije Universiteit Brussel, Pleinlaan 2, Brussel 1050, Belgium;Department of Mechanical Engineering, KULeuven, Celestijnenlaan 300A, Heverlee 3001, Belgium
Venue:
Journal of Computational Physics
Year:
2004

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Abstract

In the present paper a formulation allowing the use of compact schemes in the finite volume context on arbitrary meshes is presented. The proposed formulation is based on the use of an implicit formula to evaluate the fluxes on the cell faces. A series of numerical experiments for a 2D model convection equation, a flat plate, a subsonic vortical problem as well as the LES simulation of channel flow has been carried out. The results indicate an important improvement in obtained accuracy compared to a standard central finite volume formulation.