Characteristic methods for thermal convection problems with infinite Prandtl number on nonuniform staggered grids
type: Item
instance of: scholarly article
title: Characteristic methods for thermal convection problems with infinite Prandtl number on nonuniform staggered grids
zbMATH Open document ID: 1502.65064
author: Qing Guo
author: Hongxing Rui
published in: Journal of Mathematical Analysis and Applications
publication date: 2022-01-21T00:00:00Z
review text: The authors are concerned with some finite difference methods in order to approximate the solutions of some thermal convection models with infinite Prandtl number on non-uniform staggered grids. The model consists of partial differential equations for the velocity field, pressure and temperature. Unfortunately, there is no indication that the model is well posed. Backward Euler for time derivative along with a finite difference method based on characteristics is used in order to approximate the model's solutions. The authors try some error estimates and present a non conclusive numerical example.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 76R50
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 80A17
Mathematics Subject Classification ID: 76D07
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 80M20
zbMATH DE Number: 7461199
zbMATH Keywords: thermal convection
zbMATH Keywords: infinite Prandtl number
zbMATH Keywords: characteristic finite difference
zbMATH Keywords: backward Euler
zbMATH Keywords: numerical experiments
reviewed by: Calin Ioan Gheorghiu
MaRDI profile type: Publication
full work available at URL: j.jmaa.2021.125943
OpenAlex ID: W4200206754
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DOI: 10.1016/J.JMAA.2021.125943
description: scientific article; zbMATH DE number 7461199