Level-set-based deformation methods for adaptive grids
type: Item
instance of: scholarly article
title: Level-set-based deformation methods for adaptive grids
zbMATH Open document ID: 0958.65100
author: Feng Liu
author: G. C. de la Pena
author: Danping Peng
author: Guojun Liao
author: Stanley Osher
published in: Journal of Computational Physics
publication date: 2000-11-21T00:00:00Z
review text: A new method for generating adaptive moving grids is formulated based on physical quantities. Level set functions are used to construct the adaptive grids, which are solutions of the standard level set evolution equation with the Cartesian coordinates as initial values. The intersection points of the level sets of the evolving functions form a new grid at each time. The velocity vector in the evolution equation is chosen according to a monitor function and is equal to the node velocity. A uniform grid is then deformed to a moving grid with desired cell volume distribution at each time. The method achieves precise control over the Jacobian determinant of the grid mapping as the traditional deformation method does. The new method is consistent with the level set approach to dynamical moving interface problems.
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 1443387
zbMATH Keywords: level set method
zbMATH Keywords: adaptive moving grids
zbMATH Keywords: evolution equation
zbMATH Keywords: dynamical moving interface problems
MaRDI profile type: Publication
OpenAlex ID: W1969724971
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DOI: 10.1006/JCPH.2000.6432
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description: scientific article; zbMATH DE number 1443387