Improved eigenvectors for Pulliam-Chaussee diagonalized approximate-factorization algorithm

被引：2

作者：

Pulliam, Thomas H. ^{[1
]}

Jespersen, Dennis C. ^{[1
]}

Bodony, Daniel J. ^{[2
]}

Bidadi, Shreyas ^{[2
]}

机构：

[1] NASA, Ames Res Ctr, Moffett Field, CA 94035 USA

[2] Univ Illinois, Dept Aerosp Engn, Champaign, IL USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2020年 / 412卷

关键词：

Computational fluid dynamics; Numerical algorithms; Eigensystems; Aeronautics; Linear algebra;

D O I：

10.1016/j.jcp.2020.109443

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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.

引用

页数：11