Improved eigenvectors for Pulliam-Chaussee diagonalized approximate-factorization algorithm

doi:10.1016/j.jcp.2020.109443

Improved eigenvectors for Pulliam-Chaussee diagonalized approximate-factorization algorithm

2020-07-01

5

PRE

AI

DOI：10.1016/j.jcp.2020.109443

原文链接

原文求助

摘要

En 中文

The eigensystem of the Pulliam-Chaussee diagonalized form of the approximate-factorization algorithm for the three-dimensional Euler and Navier-Stokes equations is revisited to remove an apparent dimensional inconsistency. The original set of eigenvectors in curvilinear coordinates were derived systematically and has been widely used and referenced. Although mathematically correct, the original eigenvectors for the advected modes appear dimensionally inconsistent and yield a set of matrices with large condition numbers for some flows. A new set of eigenvectors is presented that remove the inconsistency and improves the robustness of the diagonalized scheme. (C) 2020 Elsevier Inc. All rights reserved.

Keyword:

Computational fluid dynamics

Numerical algorithms

Eigensystems

Aeronautics

Linear algebra

Improved eigenvectors for Pulliam-Chaussee diagonalized approximate-factorization algorithm

摘要

AI总结

期刊

机构