An equal-order velocity-pressure formulation that does not exhibit spurious pressure modes
type: Item
instance of: scholarly article
title: An equal-order velocity-pressure formulation that does not exhibit spurious pressure modes
zbMATH Open document ID: 0639.76030
DOI: 10.1016/0045-7825(86)90093-9
author: James G. Rice
author: Rita J. Schnipke
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1986-01-01T00:00:00Z
review text: An iterative finite element method is presented for the numerical solution of the two-dimensional laminar Navier-Stokes equations. `Equal' order approximations based on bilinear quadrilateral elements are described with advection terms approximated by a streamline upwind method. The approximations are not really equal order as an ingeneous method where pressure gradients are treated as piecewise constant is used to derive the Poisson equation for the pressure. The governing equations for momentum and pressure are solved in sequence. The method is applied successfully to several standard flow problems such as entrance flow in a duct flow over a backward facing step and flow in a diffuser at Reynolds numbers up to 2000.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 4043436
zbMATH Keywords: iterative finite element method
zbMATH Keywords: numerical solution
zbMATH Keywords: two-dimensional laminar Navier-Stokes equations
zbMATH Keywords: Poisson equation
zbMATH Keywords: entrance flow
zbMATH Keywords: duct flow
describes a project that uses: NACHOS
MaRDI profile type: Publication
full work available at URL: 0045-7825(86)90093-9
OpenAlex ID: W1976937605
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description: scientific article; zbMATH DE number 4043436