Computation of incompressible flows with implicit finite element implementations on the Connection Machine
type: Item
instance of: scholarly article
title: Computation of incompressible flows with implicit finite element implementations on the Connection Machine
zbMATH Open document ID: 0784.76046
DOI: 10.1016/0045-7825(93)90155-Q
author: V. Pereyra
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1994-01-03T00:00:00Z
review text: Two implicit finite element formulations for incompressible flows have been implemented on the Connection Machine supercomputers and successfully applied to a set of time-dependent problems. The stabilized space-time formulation for moving boundaries and interfaces, and a new stabilized velocity-pressure-stress formulation are both described, and significant aspects of the implementation of these methods on massively parallel architectures are discussed. Several numerical results for flow problems involving moving as well as fixed cylinders and airfoils are reported.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 480376
zbMATH Keywords: time-dependent problems
zbMATH Keywords: stabilized space-time formulation
zbMATH Keywords: moving boundaries
zbMATH Keywords: stabilized velocity-pressure-stress formulation
zbMATH Keywords: fixed cylinders
zbMATH Keywords: airfoils
MaRDI profile type: Publication
cites work: Finite element analysis on the connection machine
cites work: Data structures and algorithms for the finite element method on a data parallel supercomputer
cites work: THE FINITE ELEMENT METHOD ON A DATA PARALLEL COMPUTING SYSTEM
cites work: A data parallel finite element method for computational fluid dynamics on the Connection Machine system
cites work: On the mapping of massively parallel processors onto finite element graphs
cites work: A new strategy for finite element computations involving moving boundaries and interfaces --- The deforming-spatial-domain/space-time procedure. I: The concept and the preliminary numerical tests
cites work: Q1190683
cites work: Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows
cites work: Parallel unstructured grid generation
cites work: Q3619797
cites work: Partitioning Sparse Matrices with Eigenvectors of Graphs
cites work: GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
cites work: Q3320009
full work available at URL: 0045-7825(93)90155-q
OpenAlex ID: W2071190286
description: scientific article; zbMATH DE number 480376