Direct simulation of low-Re flow around a square cylinder by numerical manifold method for Navier-Stokes equations
type: Item
instance of: scholarly article
title: Direct simulation of low-Re flow around a square cylinder by numerical manifold method for Navier-Stokes equations
zbMATH Open document ID: 1251.76046
DOI: 10.1155/2012/465972
author: Zhengrong Zhang
author: Xiangwei Zhang
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: The numerical manifold method is applied to directly solve Navier-Stokes (N-S) equations for incompressible viscous flows, and numerical manifold schemes for N-S equations coupled velocity and pressure were derived based on Galerkin weighted residuals method as well. Mixed cover with linear polynomial function for velocity and constant function for pressure is employed in a finite element cover system. As an application, mixed cover 4-node rectangular manifold element is used to simulate the incompressible viscous flow around a square cylinder in a channel. Numerical tests illustrate that NMM is an effective and high-order accurate numerical method for incompressible viscous flow N-S equations.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 6106219
zbMATH Keywords: numerical manifold method
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: incompressible viscous flows
Wikidata QID: Q58905924
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/465972
OpenAlex ID: W1996409950
cites work: FURTHER DISCUSSION OF NUMERICAL ERRORS IN CFD
cites work: A stable and conservative high order multi-block method for the compressible Navier-Stokes equations
cites work: A stabilized mixed finite element method for single-phase compressible flow
cites work: Numerical simulation of unsteady compressible flow in convergent channel: pressure spectral analysis
cites work: An integrated procedure for three-dimensional structural analysis with the finite cover method
cites work: Finite cover method for progressive failure with cohesive zone fracture in heterogeneous solids and structures
cites work: Manifold method coupled velocity and pressure for Navier-Stokes equations and direct numerical solution of unsteady incompressible viscous flow
cites work: Numerical investigation of confined wakes behind a square cylinder in a channel
cites work: A transient solution method for the finite element incompressible Navier-Stokes equations
cites work: The patch test for mixed formulations
description: scientific article; zbMATH DE number 6106219