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A ghost cell method on finite volume adaptive Cartesian grids and its applications

Donghong Wang

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Abstract

A finite volume scheme with the ghost cell method based on adaptive Cartesian grids is presented for two dimensional compressible flow problems.The implementation procedure shows that the present method is more efficient and easier conservation preserving than finite difference schemes.Finally,some numerical examples and multi-body flow problems are given to illustrate the efficient of the method.

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What this paper is about

A finite volume scheme with the ghost cell method based on adaptive Cartesian grids is presented for two dimensional compressible flow problems.The implementation procedure shows that the present method is more efficient and easier conservation preserving than finite difference schemes.Finally,some numerical examples and multi-body flow problems are given to illustrate the efficient of the method.

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Available abstract

A finite volume scheme with the ghost cell method based on adaptive Cartesian grids is presented for two dimensional compressible flow problems.The implementation procedure shows that the present method is more efficient and easier conservation preserving than finite difference schemes.Finally,some numerical examples and multi-body flow problems are given to illustrate the efficient of the method.

Key concepts: Finite volume method, Regular grid, Cartesian coordinate system, Flow (mathematics), Compressible flow, Applied mathematics, Mathematical optimization, Scheme (mathematics)

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