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

doi:10.1016/S0377-0427(02)00535-6

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

31 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 language	English
Pages (from-to)	267-277
Number of pages	11
Journal	Journal of Computational and Applied Mathematics
Volume	149
Issue number	1
DOIs	https://doi.org/10.1016/S0377-0427(02)00535-6
Publication status	Published - 2002 Dec 1
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/S0377-0427(02)00535-6

Cite this

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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.",

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

AU - Yabe, T.

AU - Ogata, Y.

AU - Takizawa, K.

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

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JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

IS - 1

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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