Adaptive numerical methods for reacting flows
type: Item
instance of: scholarly article
title: Adaptive numerical methods for reacting flows
zbMATH Open document ID: 0588.76149
DOI: 10.1016/0167-2789(86)90101-6
published in: Physica D
publication date: 1986-01-01T00:00:00Z
review text: The advantages and disadvantages of adapting the numerical grid for certain classes of problems has been discussed with the use of examples, physical proofs, and numerical experiments. The major unifying aspect of the subject is the appearance of asymptotically thin regions in space which must be resolved because of their important internal structure. A very good example of this type of problem is convection/diffusion regions in general and flames in particular. For these problems adaptive grid methods are shown to offer very large advantages in efficiency and accuracy, and definitely represent an attractive area for future research. The major problem areas are shown to be the choice of adaptive strategy, geometry and grid non-orthogonality.
Mathematics Subject Classification ID: 76Rxx
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 80A32
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 3945754
zbMATH Keywords: numerical grid
zbMATH Keywords: asymptotically thin regions
zbMATH Keywords: internal structure
zbMATH Keywords: convection/diffusion regions
zbMATH Keywords: flames
zbMATH Keywords: adaptive grid methods
zbMATH Keywords: accuracy
zbMATH Keywords: grid non-orthogonality
author: Harry A. Dwyer
MaRDI profile type: Publication
full work available at URL: 0167-2789(86)90101-6
OpenAlex ID: W2075065014
cites work: Adaptive Grid Method for Problems in Fluid Mechanics and Heat Transfer
cites work: Adaptive gridding for finite difference solutions to heat and mass transfer problems
cites work: Adaptive zoning for singular problems in two dimensions
Recommended article: Q4247546
Recommended article: Adaptive finite elements for reactive flows
Recommended article: Q4398726
Recommended article: Q4779473
Recommended article: Adaptive computational methods for chemically-reacting radiative flows
Recommended article: Q4239406
Recommended article: Adaptive discontinuous Galerkin methods for non-linear reactive flows
Recommended article: Q4823212
Recommended article: Adaptive numerical flow simulation
Recommended article: Solving Multidimensional Reactive Flow Problems with Adaptive Finite Elements
description: scientific article; zbMATH DE number 3945754