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New limiter regions for multidimensional flows

delete2024-10-01
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J
James Woodfield *
H
Hilary Weller
C
Colin J. Cotter
DOI:10.1016/j.jcp.2024.113286delete
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摘要

摘要

En 中文
Accurate transport algorithms are crucial for computational fluid dynamics and more accurate and efficient schemes are always in development. One dimensional limiting is commonly employed to suppress nonphysical oscillations. However, the application of such limiters can reduce accuracy. It is important to identify the weakest set of sufficient conditions required on the limiter as to allow the development of successful numerical algorithms. The main goal of this paper is to identify new less restrictive sufficient conditions for flux form in-compressible advection to remain monotonic. We identify additional necessary conditions for incompressible flux form advection to be monotonic, demonstrating that the Spekreijse limiter region is not sufficient for incompressible flux form advection to remain monotonic. Then a convex combination argument is used to derive new sufficient conditions that are less restrictive than the Sweby region for a discrete maximum principle. This allows the introduction of two new more general limiter regions suitable for flux form incompressible advection.
Keyword:
HIGH-RESOLUTION SCHEMES
ADVECTION
CONSERVATION
ORDER
DISCRETIZATION
CONTRACTIVITY
ACCURACY
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期刊

Journal of Computational Physics 封面图
Journal of Computational Physics
IF:
3.8
论文数:
1.6W
被引数:
7.4W

机构

I
Imperial College London
学者数:
8.3W
论文数: 7.3W
被引数: 11.1W
U
University of Reading
学者数:
1.0W
论文数: 1.1W
被引数: 1.7W
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