An adaptive grid method for Navier-Stokes flow computation. II. Grid addition
type: Item
instance of: scholarly article
title: An adaptive grid method for Navier-Stokes flow computation. II. Grid addition
zbMATH Open document ID: 0619.76032
DOI: 10.1016/0168-9274(86)90010-3
author: W. Shyy
published in: Applied Numerical Mathematics
publication date: 1986-01-01T00:00:00Z
review text: [For part I see the author, Appl. Math. Comput. 21, 201-219 (1987; Zbl 0607.76030).] A further investigation has been conducted for a previously proposed multiple one-dimensional adaptive grid method for Navier-Stokes flow calculations. The method is based on the equidistribution concept and designed by utilizing the different characteristics of the velocity and pressure fields. It is demonstrated that one major advantage of this method is its flexibility in adding the nodal points along any coordinates if desirable. As the adaptive readjustment of grid distribution proceeds from the initial grid system, it is shown that not only the overall error is reduced but the error distribution is more uniform. For the flow problem tested, the resulting adaptive grid system yielded by the present method is close to optimum after two to three stages of adaption.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 65Gxx
zbMATH DE Number: 4005830
zbMATH Keywords: multiple one-dimensional adaptive grid method
zbMATH Keywords: Navier-Stokes flow calculations
zbMATH Keywords: equidistribution concept
zbMATH Keywords: adaptive readjustment
zbMATH Keywords: grid distribution
zbMATH Keywords: initial grid system
zbMATH Keywords: error distribution
MaRDI profile type: Publication
full work available at URL: 0168-9274(86)90010-3
OpenAlex ID: W4236406184
cites work: Natural convection in a square cavity: A comparison exercise
cites work: A survey of dynamically-adaptive grids in the numerical solution of partial differential equations
cites work: Adaptive Mesh Selection Strategies for Solving Boundary Value Problems
cites work: Grid adaption for problems in fluid dynamics
cites work: Adaptive zoning for singular problems in two dimensions
cites work: NUMERICAL RECIRCULATING FLOW CALCULATION USING A BODY-FITTED COORDINATE SYSTEM
cites work: A study of finite difference approximations to steady state, convection- dominated flow problems
cites work: Analysis of Optimal Finite-Element Meshes in R 1
description: scientific article; zbMATH DE number 4005830