Solution domain decomposition method for viscous incompressible flow
type: Item
instance of: scholarly article
title: Solution domain decomposition method for viscous incompressible flow
zbMATH Open document ID: 0827.76061
DOI: 10.1007/BF01575038
author: Seungho Paik
author: Khoa Dang Nguyen
published in: Journal of Scientific Computing
publication date: 1995-12-13T00:00:00Z
review text: This paper develops a solution domain decomposition method for the steady-state solutions of biharmonic equations arising in the study of viscous incompressible fluid flows. It combines the domain decomposition method with Chebyshev collocations for spatial discretization. The interactions between subdomains are effectively decoupled by the auxiliary solutions yielding a set of independent elementary problems which can be solved concurrently on multiprocessor computers. Solutions to a number of problems, including two-dimensional steady flow in a driven cavity, are obtained for the assessment of the method. The methodology proposed does not affect the convergence and stability of the discretization scheme. It retains the spectral accuracy with absolute error decaying exponentially. The numerical solution presented for driven square cavity compares favorably with existing results.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 762056
zbMATH Keywords: biharmonic equations
zbMATH Keywords: Chebyshev collocations
zbMATH Keywords: spatial discretization
zbMATH Keywords: multiprocessor computers
zbMATH Keywords: driven cavity
reviewed by: Adabala Ramachandra Rao
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01575038
OpenAlex ID: W2057508356
description: scientific article; zbMATH DE number 762056