A family of energy stable, skew-symmetric finite difference schemes on collocated grids

Julius Reiss

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arXiv · 1402.0998

A family of energy stable, skew-symmetric finite difference schemes on collocated grids

Julius Reiss

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Abstract

A simple scheme for incompressible, constant density flows is presented, which avoids odd-even decoupling for the Laplacian on a collocated grids. Energy stability is implied by maintaining strict energy conservation. Momentum is conserved. Arbitrary order in space and time can easily be obtained. The conservation properties hold on transformed grids.

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Julius Reiss. 2014-02-05. A family of energy stable, skew-symmetric finite difference schemes on collocated grids. https://arxiv.org/abs/1402.0998

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