A Grid-Insensitive LDA Method on Triangular Grids Solving the System of Euler Equations
Autor: | Hossain Chizari, Farzad Ismail |
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Rok vydání: | 2016 |
Předmět: |
Numerical Analysis
Finite volume method Applied Mathematics Scalar (mathematics) General Engineering Geometry 010103 numerical & computational mathematics Grid 01 natural sciences Residual distribution Theoretical Computer Science Euler equations 010101 applied mathematics Computational Mathematics symbols.namesake Computational Theory and Mathematics symbols Applied mathematics 0101 mathematics Software Mathematics |
Zdroj: | Journal of Scientific Computing. 71:839-874 |
ISSN: | 1573-7691 0885-7474 |
DOI: | 10.1007/s10915-016-0323-5 |
Popis: | The performance of the classic upwind-type residual distribution (RD) methods on skewed triangular grids are rigorously investigated in this paper. Based on an improved signals distribution, an improved second order RD method based on the LDA approach is proposed to faithfully replicate the flow physics on skewed triangular grids. It will be mathematically and numerically shown that the improved LDA method is found to have minimal accuracy variations when grids are skewed compared to classic RD and cell vertex finite volume methods on scalar equations and system of Euler equations. |
Databáze: | OpenAIRE |
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