Application of a primitive variable Newton's method for the calculation of an axisymmetric laminar diffusion flame
type: Item
instance of: scholarly article
title: Application of a primitive variable Newton's method for the calculation of an axisymmetric laminar diffusion flame
zbMATH Open document ID: 0783.76066
author: Yuenong Xu
author: Mitchell D. Smooke
published in: Journal of Computational Physics
publication date: 1993-05-16T00:00:00Z
review text: The primitive variable (velocity, pressure) governing equations for a flame sheet model of an axisymmetric laminar diffusion flame are discretized in cylindrical coordinates by use of a monotonicity preserving upwind finite differences scheme. The unsteady term is implicitly differenced with a backward Euler method, and the resulting nonlinear algebraic system is solved by a modified Newton method. By some numerical examples the authors try to convince themselves of the superiority of primitive variable Newton's method over Newton's method with stream function-vorticity formulation and the SIMPLER algorithm.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76V05
zbMATH DE Number: 167055
zbMATH Keywords: compressible reacting flows
zbMATH Keywords: upwind scheme
zbMATH Keywords: flame sheet model
zbMATH Keywords: cylindrical coordinates
zbMATH Keywords: monotonicity
zbMATH Keywords: backward Euler method
reviewed by: Calin Ioan Gheorghiu
MaRDI profile type: Publication
full work available at URL: jcph.1993.1012
OpenAlex ID: W2084005800
DOI: 10.1006/JCPH.1993.1012
description: scientific article; zbMATH DE number 167055