Self-regulating finite-difference methods for the computation of reacting flows with nonlinear kinetics
type: Item
instance of: scholarly article
title: Self-regulating finite-difference methods for the computation of reacting flows with nonlinear kinetics
zbMATH Open document ID: 0658.76106
DOI: 10.1007/BF01061256
author: J. B. Greenberg
published in: Journal of Scientific Computing
publication date: 1988-01-01T00:00:00Z
review text: This paper deals with the difficult problem of predicting the concentration (and temperature) fields of reacting flows in which the chemistry is modeled by a multicomponent set of nonlinear reactions. A novel variable split-operator method is presented, which splits each individual chemical reaction at each point and for each step or iteration in such a way as to guarantee the nonpositiveness of the eigenvalues of the chemical Jacobian matrix. This helps to ensure stability/convergence of the proposed iterative scheme. The possibility of constructing accelerated schemes of this nature is also explored. Finally, computed results illustrate the usefulness and reliability of the proposed methods and provide evidence concerning their relative merits.
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 80A32
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4076894
zbMATH Keywords: split operators
zbMATH Keywords: reacting flows
zbMATH Keywords: multicomponent set of nonlinear reactions
zbMATH Keywords: variable split-operator method
zbMATH Keywords: chemical Jacobian matrix
MaRDI profile type: Publication
cites work: Q3525855
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full work available at URL: https://doi.org/10.1007/bf01061256
OpenAlex ID: W2036004882
description: scientific article; zbMATH DE number 4076894