NASA NTRS · 19900018679
Towards a genuinely multi-dimensional upwind scheme
Abstract
Methods of incorporating multi-dimensional ideas into algorithms for the solution of Euler equations are presented. Three schemes are developed and tested: a scheme based on a downwind distribution, a scheme based on a rotated Riemann solver and a scheme based on a generalized Riemann solver. The schemes show an improvement over first-order, grid-aligned upwind schemes, but the higher-order performance is less impressive. An outlook for the future of multi-dimensional upwind schemes is given.
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Powell, Kenneth G., Vanleer, Bram, Roe, Philip L.. 1990-01-01. Towards a genuinely multi-dimensional upwind scheme. https://ntrs.nasa.gov/citations/19900018679
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