The next generation CIP as a conservative semi-Lagrangian solver for solid, liquid and gas

T. Yabe, Y. Ogata, K. Takizawa, T. Kawai, A. Segawa, K. Sakurai

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

We present a review of the CIP method, which is a kind of semi-Lagrangian scheme and has been extended to treat incompressible flow in the framework of compressible fluid. Since it uses primitive Euler representation, it is suitable for multi-phase analysis. The recent version of this method guarantees the exact mass conservation even in the framework of semi-Lagrangian scheme. Comprehensive review is given for the strategy of the CIP method that has a compact support and subcell resolution including front capturing algorithm with functional transformation.

Original languageEnglish
Pages (from-to)267-277
Number of pages11
JournalJournal of Computational and Applied Mathematics
Volume149
Issue number1
DOIs
Publication statusPublished - 2002 Dec 1

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Keywords

  • CIP
  • Gas
  • Liquid
  • Multi-phase flow
  • Semi-Lagrangian
  • Solid
  • Universal solver

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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