Numerical grid generation

M. Brio, G. M. Webb, A. R. Zakharian

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this chapter we overview the basic ideas behind numerical grid adaptation to geometrical features of the domain, its interfaces and boundaries, as well as adaptation to the solution features, such as high gradients, that are often employed to improve the accuracy and efficiency of the computation. Through representative examples we discuss implementation and stability issues for static and dynamic remapping grid generation methods. The last two sections describe Level Set and Front Tracking Methods for propagating moving interfaces and fronts.

Original languageEnglish (US)
Title of host publicationMathematics in Science and Engineering
PublisherElsevier
Pages251-272
Number of pages22
EditionC
DOIs
StatePublished - Jan 1 2010
Externally publishedYes

Publication series

NameMathematics in Science and Engineering
NumberC
Volume213
ISSN (Print)0076-5392

Keywords

  • Adaptive and moving grid adaptation
  • Equidistribution principle
  • Front tracking
  • Level set methods
  • Non-uniform
  • Numerical grid generation

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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  • Cite this

    Brio, M., Webb, G. M., & Zakharian, A. R. (2010). Numerical grid generation. In Mathematics in Science and Engineering (C ed., pp. 251-272). (Mathematics in Science and Engineering; Vol. 213, No. C). Elsevier. https://doi.org/10.1016/S0076-5392(10)21311-5