An approximate LU factorization method for the compressible Navier-Stokes equations
type: Item
instance of: scholarly article
title: An approximate LU factorization method for the compressible Navier-Stokes equations
zbMATH Open document ID: 0605.76080
DOI: 10.1016/0021-9991(86)90089-6
author: Shigeru Obayashi
author: Kunio Kuwahara
published in: Journal of Computational Physics
publication date: 1986-01-01T00:00:00Z
review text: The approximate LU factorization is applied to the Beam-Warming-Steger method [e.g.: \textit{J. L. Steger}, AIAA J. 16, 679-686 (1978; Zbl 0383.76013)] for the compressible Navier-Stokes equations. This factorization is mainly based on the implicit flux vector splitting technique to which the simple estimation of eigenvalue of the viscous terms is added. The two-dimensional interaction problem of shock wave with laminar boundary layer on a flat plate was solved. Numerical results confirm the efficiency and reliability of the present method.
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 3978672
zbMATH Keywords: approximate LU factorization
zbMATH Keywords: Beam-Warming-Steger method
zbMATH Keywords: compressible Navier-Stokes equations
zbMATH Keywords: implicit flux vector splitting technique
zbMATH Keywords: estimation of eigenvalue
zbMATH Keywords: viscous terms
zbMATH Keywords: two-dimensional interaction problem
zbMATH Keywords: shock wave
zbMATH Keywords: laminar boundary layer
zbMATH Keywords: flat plate
MaRDI profile type: Publication
full work available at URL: 0021-9991(86)90089-6
OpenAlex ID: W2064282707
cites work: Diagonalization and Simultaneous Symmetrization of the Gas-Dynamic Matrices
cites work: A diagonal form of an implicit approximate-factorization algorithm
cites work: Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods
cites work: A Numerical Method for Solving the Equations of Compressible Viscous Flow
cites work: An implicit finite-difference algorithm for hyperbolic systems in conservation-law form
cites work: Implicit Finite-Difference Simulation of Flow about Arbitrary Two-Dimensional Geometries
cites work: Implicit Schemes and LU Decompositions
cites work: An Implicit Factored Scheme for the Compressible Navier-Stokes Equations
cites work: Q5832981
cites work: Q5816506
Recommended article: Q3718387
Recommended article: Factorization methods for the numerical approximation of Navier-Stokes equations
Recommended article: Q3060654
Recommended article: Exact factorization technique for numerical simulations of incompressible Navier-Stokes flows
Recommended article: A factorization method for numerical solution of the Navier–Stokes equations for a viscous incompressible liquid
Recommended article: Q3768586
Recommended article: A numerical method for solving the compressible Navier-Stokes equations
Recommended article: LU factorizations and ILU preconditioning for stabilized discretizations of incompressible Navier–Stokes equations
Recommended article: A Lagrangian approach for the compressible Navier-Stokes equations
Recommended article: A convergent numerical scheme for the compressible Navier-Stokes equations
description: scientific article; zbMATH DE number 3978672