A Grid-Insensitive LDA Method on Triangular Grids Solving the System of Euler Equations

作者：Chizari Hossain; Ismail Farzad^*

来源：Journal of Scientific Computing, 2017, 71(2): 839-874.

DOI：10.1007/s10915-016-0323-5

• Residual distribution
• LDA
• Skewed triangular grids
• Cell-vertex finite volume
• Hyperbolic conservation laws

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.

• 出版日期2017-5