A div-curl-grad formulation for compressible buoyant flows solved by the least-squares finite element method
type: Item
instance of: scholarly article
title: A div-curl-grad formulation for compressible buoyant flows solved by the least-squares finite element method
zbMATH Open document ID: 0884.76046
DOI: 10.1016/0045-7825(95)00989-2
author: Sheng-Tao Yu
author: Bo-Nan Jiang
author: J. Wu
author: Nan-Suey Liu
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1998-04-14T00:00:00Z
review text: The paper reports the development of the least-squares finite element method for simulating compressible buoyant flows at low Mach numbers. We propose a div-curl-grad formulation with unknowns including vorticity, velocity, heat fluxes, temperature and pressure variation. The formulation is proved to be elliptic such that permissible boundary conditions become self-evident for a well posed flow problem. In contrast to conventional approaches, the present method evades the predicament of the `singularity' problem of low-speed flows, and no special treatment or artificial boundary condition is needed. Moreover, the assembled coefficient matrix is symmetric and positive-definite; its inversion is implemented by an element-by-element Jacobi conjugate gradient method. As a numerical example, we calculate two-dimensional compressible buoyant flows inside a square enclosure at various Rayleigh numbers.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 1057511
zbMATH Keywords: low Mach numbers
zbMATH Keywords: vorticity
zbMATH Keywords: velocity
zbMATH Keywords: heat fluxes
zbMATH Keywords: temperature
zbMATH Keywords: pressure variation
zbMATH Keywords: boundary conditions
zbMATH Keywords: element-by-element Jacobi conjugate gradient method
zbMATH Keywords: buoyant flows
zbMATH Keywords: square enclosure
describes a project that uses: CGS
MaRDI profile type: Publication
full work available at URL: 0045-7825(95)00989-2
OpenAlex ID: W2031915042
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Wikidata QID: Q126573749
description: scientific article; zbMATH DE number 1057511