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

T. Yabe, Y. Ogata, Kenji 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
Externally publishedYes

Fingerprint

Semi-Lagrangian
Liquid
Incompressible flow
Liquids
Gases
Conservation
Mass Conservation
Compressible Fluid
Compact Support
Incompressible Flow
Fluids
Euler
Gas
Framework
Review

Keywords

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

ASJC Scopus subject areas

  • Applied Mathematics
  • Computational Mathematics
  • Numerical Analysis

Cite this

The next generation CIP as a conservative semi-Lagrangian solver for solid, liquid and gas. / Yabe, T.; Ogata, Y.; Takizawa, Kenji; Kawai, T.; Segawa, A.; Sakurai, K.

In: Journal of Computational and Applied Mathematics, Vol. 149, No. 1, 01.12.2002, p. 267-277.

Research output: Contribution to journalArticle

Yabe, T. ; Ogata, Y. ; Takizawa, Kenji ; Kawai, T. ; Segawa, A. ; Sakurai, K. / The next generation CIP as a conservative semi-Lagrangian solver for solid, liquid and gas. In: Journal of Computational and Applied Mathematics. 2002 ; Vol. 149, No. 1. pp. 267-277.
@article{fa93d4f1b7944f3b88c01a1b0e78fd85,
title = "The next generation CIP as a conservative semi-Lagrangian solver for solid, liquid and gas",
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.",
keywords = "CIP, Gas, Liquid, Multi-phase flow, Semi-Lagrangian, Solid, Universal solver",
author = "T. Yabe and Y. Ogata and Kenji Takizawa and T. Kawai and A. Segawa and K. Sakurai",
year = "2002",
month = "12",
day = "1",
doi = "10.1016/S0377-0427(02)00535-6",
language = "English",
volume = "149",
pages = "267--277",
journal = "Journal of Computational and Applied Mathematics",
issn = "0377-0427",
publisher = "Elsevier",
number = "1",

}

TY - JOUR

T1 - The next generation CIP as a conservative semi-Lagrangian solver for solid, liquid and gas

AU - Yabe, T.

AU - Ogata, Y.

AU - Takizawa, Kenji

AU - Kawai, T.

AU - Segawa, A.

AU - Sakurai, K.

PY - 2002/12/1

Y1 - 2002/12/1

N2 - 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.

AB - 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.

KW - CIP

KW - Gas

KW - Liquid

KW - Multi-phase flow

KW - Semi-Lagrangian

KW - Solid

KW - Universal solver

UR - http://www.scopus.com/inward/record.url?scp=0036894077&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036894077&partnerID=8YFLogxK

U2 - 10.1016/S0377-0427(02)00535-6

DO - 10.1016/S0377-0427(02)00535-6

M3 - Article

AN - SCOPUS:0036894077

VL - 149

SP - 267

EP - 277

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

SN - 0377-0427

IS - 1

ER -