A new class of massively parallel direction splitting for the incompressible Navier-Stokes equations
type: Item
instance of: scholarly article
title: A new class of massively parallel direction splitting for the incompressible Navier-Stokes equations
zbMATH Open document ID: 1228.76095
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2011-12-19T00:00:00Z
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 65Y05
zbMATH DE Number: 5990388
zbMATH Keywords: ADI
zbMATH Keywords: direction splitting
zbMATH Keywords: incompressible flows
zbMATH Keywords: Navier
zbMATH Keywords: Stokes
zbMATH Keywords: pressure Poisson equation
zbMATH Keywords: time splitting
author: Jean-Luc Guermond
author: P. D. Minev
MaRDI profile type: Publication
full work available at URL: j.cma.2011.02.007
OpenAlex ID: W1999328461
cites work: Time and space parallelization of the Navier-Stokes equations
cites work: Q4704696
cites work: A fictitious domain, parallel numerical method for rigid particulate flows
cites work: Benchmark spectral results on the lid-driven cavity flow
cites work: Numerical Solution of the Navier-Stokes Equations
cites work: Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers
cites work: Convergence and optimization of the parallel method of simultaneous directions for the solution of elliptic problems
cites work: Start-up flows in a three-dimensional rectangular driven cavity of aspect ratio 1:1:2 at \(Re=1000\).
cites work: A new class of fractional step techniques for the incompressible Navier-Stokes equations using direction splitting
cites work: Start-up flow in a three-dimensional lid-driven cavity by means of a massively parallel direction splitting algorithm
cites work: Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations in simple domains
cites work: An overview of projection methods for incompressible flows
cites work: A splitting method for incompressible flows with variable density based on a pressure Poisson equation
cites work: On the error estimates for the rotational pressure-correction projection methods
cites work: Velocity-Correction Projection Methods for Incompressible Flows
cites work: Alternating direction methods for three space variables
cites work: A parallel splitting up method and its application to Navier-Stokes equations
cites work: A parallel splitting-up method for partial differential equations and its applications to Navier-Stokes equations
cites work: Q3126807
cites work: The Numerical Solution of Parabolic and Elliptic Differential Equations
cites work: Numerical analysis of blood flow in the heart
cites work: Q4694674
cites work: Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
cites work: Navier-Stokes equations and turbulence
cites work: AN APPROXIMATE PROJECTION SCHEME FOR INCOMPRESSIBLE FLOW USING SPECTRAL ELEMENTS
cites work: Large-Scale Scientific Computing
cites work: Q5611377
DOI: 10.1016/J.CMA.2011.02.007
description: scientific article; zbMATH DE number 5990388