Numerical simulation of thermal convection in a fluid with the infinite Prandtl number and its application to a glass manufacturing problem
type: Item
instance of: scholarly article
title: Numerical simulation of thermal convection in a fluid with the infinite Prandtl number and its application to a glass manufacturing problem
zbMATH Open document ID: 0937.76034
author: Hajime Itoh
published in: Hiroshima Mathematical Journal
publication date: 2000-06-07T00:00:00Z
review text: Thermal convection of fluids with infinite Prandtl number is studied via numerical simulations. These phenomena are governed by various physical mechanisms in a glass melting furnace that affect the quality of glass. We present a finite element stabilized scheme which enables us to carry out stable computation even in the case of high Rayleigh numbers. By means of this scheme, we study the transient growth of thermal convection in a top-cooled rectangular domain which can be regarded as a model of cooling process in a glass melting furnace.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76R10
Mathematics Subject Classification ID: 80A22
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 1310259
zbMATH Keywords: infinite Prandtl number
zbMATH Keywords: glass melting furnace
zbMATH Keywords: finite element stabilized scheme
zbMATH Keywords: thermal convection
zbMATH Keywords: top-cooled rectangular domain
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.32917/hmj/1206125154
OpenAlex ID: W1542300526
DOI: 10.32917/HMJ/1206125154
description: scientific article; zbMATH DE number 1310259