An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry
type: Item
instance of: scholarly article
title: An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry
zbMATH Open document ID: 0581.76036
DOI: 10.1016/0021-9991(86)90134-8
author: Karol Z. Korczak
author: Anthony T. Patera
published in: Journal of Computational Physics
publication date: 1986-01-01T00:00:00Z
review text: An isoparametric spectral element technique is presented for solution of the two-dimensional Navier-Stokes equations in arbitrary (curvy) geometries. The spatial discretization is described, and the method is illustrated by solution of Poisson's equation in a cylindrical annulus. A fractional-step Navier-Stokes solver based on a discretely consistent Poisson equation for the pressure is then presented, and exponential convergence in space is demonstrated for the case of (separated) flow between eccentric rotating cylinders. The technique is made efficient by the use of explicit collocation operators for the convective terms, and use of static condensation to solve the elliptic equations resulting from the Stokes problem. The algorithm is amenable to a high degree of parallelism, in both multi-processor and vector-pipeline environments.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3930569
zbMATH Keywords: general, curvy geometries
zbMATH Keywords: isoparametric spectral element technique
zbMATH Keywords: two- dimensional Navier-Stokes equations
zbMATH Keywords: Poisson's equation
zbMATH Keywords: cylindrical annulus
zbMATH Keywords: fractional-step Navier-Stokes solver
zbMATH Keywords: eccentric rotating cylinders
zbMATH Keywords: explicit collocation operators
zbMATH Keywords: static condensation
zbMATH Keywords: Stokes problem
MaRDI profile type: Publication
full work available at URL: 0021-9991(86)90134-8
OpenAlex ID: W2076987291
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description: scientific article; zbMATH DE number 3930569