Upwind iteration methods for the cell vertex scheme in one dimension
type: Item
instance of: scholarly article
title: Upwind iteration methods for the cell vertex scheme in one dimension
zbMATH Open document ID: 0811.65070
author: K. W. Morton
author: M. Rudgyard
author: G. J. Shaw
published in: Journal of Computational Physics
publication date: 1994-12-06T00:00:00Z
review text: Model problems and their discretization by the cell vertex method are described. Methods for solving the arising algebraic equations are analyzed further. Some simple marching schemes based on the application of the symmetric Gauss-Seidel iteration to a system of discrete equations without diagonal dominance are introduced. It is shown that these methods have a convergence rate independent of the of unknowns for subcritical nozzle flow. The Lax-Wendroff method upwind schemes as iteration schemes and their various generalizations are discussed. The aim in each case is to set to zero the residual for each cell, apart from exceptional cells such as those containing shocks. The ideal scheme for the transonic nozzle problem involves splitting a residual in the sonic cell and combining at the shock point.
reviewed by: K.Zlateva
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 35L67
zbMATH DE Number: 699528
zbMATH Keywords: upwind iteration methods
zbMATH Keywords: cell vertex method
zbMATH Keywords: marching schemes
zbMATH Keywords: symmetric Gauss-Seidel iteration
zbMATH Keywords: convergence
zbMATH Keywords: Lax-Wendroff method upwind schemes
zbMATH Keywords: shocks
zbMATH Keywords: transonic nozzle problem
zbMATH Keywords: splitting
MaRDI profile type: Publication
full work available at URL: jcph.1994.1161
OpenAlex ID: W1970578557
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DOI: 10.1006/JCPH.1994.1161
description: scientific article; zbMATH DE number 699528