Numerical implementations for 2D lid-driven cavity flow in stream function formulation
type: Item
instance of: scholarly article
title: Numerical implementations for 2D lid-driven cavity flow in stream function formulation
zbMATH Open document ID: 1264.76082
DOI: 10.5402/2012/871538
published in: ISRN Applied Mathematics
publication date: 2013-06-11T00:00:00Z
review text: Summary: The aim of this paper is to study the properties of approximations to nonlinear terms of the 2D incompressible Navier-Stokes equations in the stream function formulation (time-dependent biharmonic equation). The nonlinear convective terms are numerically solved by using the method with internal iterations, compared to the ones which are solved by using explicit and implicit schemes). Using schemes and algorithms, the steady 2D incompressible flow in a lid-driven cavity is solved up to Reynolds number \(Re = 5000\) with second-order spatial accuracy. The schemes are thoroughly validated on grids with different resolutions. The result of numerical experiments shows that the finite difference scheme with internal iterations on nonlinearity is more efficient for the high Reynolds number.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 6172989
Wikidata QID: Q58692987
author: K. Poochinapan
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.5402/2012/871538
OpenAlex ID: W2029693381
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description: scientific article; zbMATH DE number 6172989