Efficient iterative methods applied to the solution of transonic flows
type: Item
instance of: scholarly article
title: Efficient iterative methods applied to the solution of transonic flows
zbMATH Open document ID: 0849.76057
author: Andrew M. Wissink
author: Anastasios S. Lyrintzis
author: Anthony T. Chronopoulos
published in: Journal of Computational Physics
publication date: 1996-07-02T00:00:00Z
review text: We investigate the use of an inexact Newton's method to solve the potential equations in the transonic regime. As a test case, we solve the two-dimensional steady transonic small disturbance equation. We apply Newton's method using an exact analytic determination of the Jacobian with preconditioned conjugate gradient-like iterative solvers for solution of the linear systems in each Newton iteration. Two iterative solvers are tested: a block \(s\)-step version of the classical Orthomin\((k)\) algorithm called orthogonal \(s\)-step Orthomin (OSOmin), and the well-known GMRES method.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76H05
zbMATH DE Number: 881861
zbMATH Keywords: two-dimensional steady small disturbance equation
zbMATH Keywords: Orthomin\((k)\) algorithm
zbMATH Keywords: Cray C-90
zbMATH Keywords: parallel machine CM-5
zbMATH Keywords: Newton's method
zbMATH Keywords: Jacobian
zbMATH Keywords: preconditioned conjugate gradient-like iterative solvers
zbMATH Keywords: GMRES method
MaRDI profile type: Publication
OpenAlex ID: W2030364001
DOI: 10.1006/JCPH.1996.0031
description: scientific article; zbMATH DE number 881861