Numerical-asymptotic expansion matching for computing a viscous flow around a sharp expansion corner
type: Item
instance of: scholarly article
title: Numerical-asymptotic expansion matching for computing a viscous flow around a sharp expansion corner
zbMATH Open document ID: 1018.76035
author: T. Hawa
author: Z. Rusak
published in: Theoretical and Computational Fluid Dynamics
publication date: 2002-09-10T00:00:00Z
review text: A new computational technique based on numerical-asymptotic expansion matching for describing the local singular behavior of a viscous flow around a sharp right-angle expansion corner is developed. The first two terms of asymptotic solution are used, and a matching with a time-marching finite difference scheme for Navier-Stokes equations is formulated. Local mesh refinements around the corner are required to meet the validity condition of the asymptotic solution. The presented numerical technique is applied to symmetric flow in a suddenly expanding channel with expansion ratio \(D/d = 3\) at various Reynolds numbers \(1\leq Re\leq 700\). The results are compared with those from a standard finite difference scheme that uses second-order forward/backward differences near the corner. It is found that the standard scheme results converge toward those of the present technique as the level of local refinement near the corner. These computations demonstrate that the use of local corner solution for numerical simulation of the flow in the channel enhances the accuracy of simulations and requires less computational effort (less refinements near the corners) to achieve the same converging numerical results.
Mathematics Subject Classification ID: 76M45
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76M20
zbMATH DE Number: 1798881
zbMATH Keywords: local singularity
zbMATH Keywords: sharp right-angle expansion corner
zbMATH Keywords: expansion ratio
zbMATH Keywords: numerical-asymptotic expansion matching
zbMATH Keywords: axial velocity profile
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: mesh refinements
zbMATH Keywords: symmetric flow
zbMATH Keywords: suddenly expanding channel
zbMATH Keywords: two-dimensional channel
zbMATH Keywords: steady Poiseuille flow
MaRDI profile type: Publication
full work available at URL: s001620200055
OpenAlex ID: W2062201024
DOI: 10.1007/S001620200055
description: scientific article; zbMATH DE number 1798881