A nonlinear multigrid algorithm and boundary-fitted coordinates for the solution of a two-dimensional flow in a branching channel
type: Item
instance of: scholarly article
title: A nonlinear multigrid algorithm and boundary-fitted coordinates for the solution of a two-dimensional flow in a branching channel
zbMATH Open document ID: 0647.76033
DOI: 10.1016/0021-9991(88)90034-4
author: J. S. Bramley
author: G. Lonsdale
author: David Sloan
published in: Journal of Computational Physics
publication date: 1988-01-01T00:00:00Z
review text: A recent paper by \textit{J. S. Bramley} and \textit{D. M. Sloan} [Comput. Fluids 15, 297-311 (1987; Zbl 0626.76040)] describes a numerical solution for two-dimensional flow of a viscous, incompressible fluid in a branching channel. A grid generation algorithm was used to map the solution region onto a rectangle and an upwind finite difference scheme was then used to solve the Navier-Stokes equations in terms of stream function and vorticity. Here we extend the earlier work by describing an efficient solution of the problem using a nonlinear multigrid algorithm. Of particular interest is the treatment of the boundary conditions in a manner which does not destroy the interior smoothness in the neighbourhood of the boundary.
Mathematics Subject Classification ID: 76D10
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4057188
zbMATH Keywords: numerical solution
zbMATH Keywords: two-dimensional flow
zbMATH Keywords: viscous, incompressible fluid
zbMATH Keywords: branching channel
zbMATH Keywords: grid generation algorithm
zbMATH Keywords: upwind finite difference scheme
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: nonlinear multigrid algorithm
MaRDI profile type: Publication
full work available at URL: 0021-9991(88)90034-4
OpenAlex ID: W2030935838
cites work: The numerical solution of two-dimensional flow in a branching channel
cites work: Numerical solution for two-dimensional flow in a branching channel using boundary-fitted coordinates
cites work: Q3703469
cites work: Multigrid methods. Proceedings of the Conference Held at Köln-Porz, November 23-27, 1981
cites work: TOMCAT - a code for numerical generation of boundary-fitted curvilinear coordinate systems on fields containing any number of arbitrary two- dimensional bodies
description: scientific article; zbMATH DE number 4057188