A finite volume formulation of compact central schemes on arbitrary structured grids. (English) Zbl 1051.65086
Summary: 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 large eddy 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.
MSC:
| 65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
| 76F65 | Direct numerical and large eddy simulation of turbulence |
| 76G25 | General aerodynamics and subsonic flows |
| 76M12 | Finite volume methods applied to problems in fluid mechanics |
| 35L60 | First-order nonlinear hyperbolic equations |
Keywords:
compact schemes; numerical experiments; convection equation; flat plate; subsonic vortical problem; large eddy simulation; channel flow; finite volume method; numerical examplesReferences:
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