Preprint 2000-021

Remarks on High-Resolution Non-Oscillatory Central Schemes for Multi-Dimensional Systems of Conservation Laws. Part I: An Improved Quadrature Rule for the Flux-Computation.

Knut-Andreas Lie and Sebastian Noelle

Abstract: We present a new second-order, nonoscillatory, central difference scheme on two-dimensional, staggered, Cartesian grids for systems of conservation laws. The scheme uses a new, carefully designed integration rule for the flux computations and thereby takes more propagation directions into account. This effectively reduces grid orientation effects produced for two-dimensional, radially symmetric gas flows.

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Knut-Andreas Lie, <>
Sebastian Noelle, <>
Publishing information:
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<> May 29 2000.

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