High-order splitting methods for the incompressible Navier-Stokes equations
type: Item
instance of: scholarly article
title: High-order splitting methods for the incompressible Navier-Stokes equations
zbMATH Open document ID: 0738.76050
DOI: 10.1016/0021-9991(91)90007-8
author: M. Israeli
author: S. A. Orszag
author: George Em Karniadakis
published in: Journal of Computational Physics
publication date: 1992-06-27T00:00:00Z
review text: A new pressure formulation for splitting methods is developed that results in high-order time-accurate schemes for the solution of the incompressible Navier-Stokes equations. In particular, improved pressure boundary conditions of high order in time are introduced that minimize the effect of erroneous numerical boundary layers induced by splitting methods. A new family of stiffly stable schemes is employed in mixed explicit/implicit time-integration rules. These schemes exhibit much broader stability regions as compared to Adams-family schemes, typically used in splitting methods.
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 29006
zbMATH Keywords: pressure formulation
zbMATH Keywords: splitting methods
zbMATH Keywords: high-order time-accurate schemes
zbMATH Keywords: incompressible Navier-Stokes equations
zbMATH Keywords: stiffly stable schemes
zbMATH Keywords: explicit/implicit time-integration
MaRDI profile type: Publication
full work available at URL: 0021-9991(91)90007-8
OpenAlex ID: W2003408966
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description: scientific article; zbMATH DE number 29006