A boundary conforming grid generation system for interface tracking
type: Item
instance of: scholarly article
title: A boundary conforming grid generation system for interface tracking
zbMATH Open document ID: 0826.65109
DOI: 10.1016/0898-1221(95)00040-6
author: Bonita V. Saunders
publication date: 1995-11-26T00:00:00Z
review text: The problem discussed is that of grid generation for phase-transition problems, in which there is an interface which may develop fingers. The author proposes an algorithm based on blending with tensor-product \(B\)- splines. The parameters of the mapping are selected so as to minimize a functional designed to make the Jacobian nearly constant and the grid nearly orthogonal. Application is made to geometries arising in the Bridgman process for the solidification of binary alloys.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 80A22
Mathematics Subject Classification ID: 35Q72
Mathematics Subject Classification ID: 35R35
zbMATH DE Number: 775948
zbMATH Keywords: boundary conforming grid generation system
zbMATH Keywords: interface tracking
zbMATH Keywords: grid generation
zbMATH Keywords: phase-transition
zbMATH Keywords: algorithm
zbMATH Keywords: tensor-product \(B\)-splines
zbMATH Keywords: Bridgman process
zbMATH Keywords: solidification of binary alloys
reviewed by: Gerald W. Hedstrom
MaRDI profile type: Publication
full work available at URL: 0898-1221(95)00040-6
OpenAlex ID: W1988346777
cites work: Finite-element methods for steady solidification problems
cites work: Boundary-conforming mapping applied to computations of highly deformed solidification interfaces
cites work: Adaptive zoning for singular problems in two dimensions
cites work: Q3199972
cites work: Q4295510
cites work: Construction of curvilinear co-ordinate systems and applications to mesh generation
cites work: Boundary-fitted coordinate systems for numerical solution of partial differential equations. A review
cites work: Review of some adaptive node-movement techniques in finite-element and finite-difference solutions of partial differential equations
cites work: A practical guide to splines
cites work: An approach to nonlinear programming
cites work: Computation of dendrites using a phase field model
cites work: Thermodynamically-consistent phase-field models for solidification
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 775948