Computation of fluid-solid and fluid-fluid interfaces with the CIP method based on adaptive Soroban grids - An overview

Takashi Yabe, Kenji Takizawa, Tayfun E. Tezduyar, Hyo Nam Im

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

We provide an overview of how fluid-solid and fluid-fluid interfaces can be computed successfully with the constrained interpolation profile/ cubic interpolated pseudo-particle (CIP) method (J. Comput. Phys. 1985; 61:261-268; Comput. Phys. Commun. 1991; 66:219-232; Comput. Phys. Commun. 1991; 66: 233-242; J. Comput. Phys. 2001; 169:556-593) based on adaptive Soroban grids (J. Comput. Phys. 2004; 194:57-77). In this approach, the CIP combined unified procedure (CCUP) technique (J. Phys. Soc. Jpn 1991; 60:2105-2108), which is based on the CIP method, is combined with the adaptive Soroban grid technique. One of the superior features of the approach is that even though the grid system is unstructured, it still has a simple data structure that renders remarkable computational efficiency. Another superior feature is that despite the unstructured and collocated nature of the grid, high-order accuracy and computational robustness are maintained. In addition, because the Soroban grid technique does not have any elements or cells connecting the grid points, the approach does not involve mesh distortion limitations. While the details of the approach and several numerical examples were reported in (Comput. Mech. 2006; published online), our objective in this paper is to provide an easy-to-follow description of the key aspects of the approach.

Original languageEnglish
Pages (from-to)841-853
Number of pages13
JournalInternational Journal for Numerical Methods in Fluids
Volume54
Issue number6-8
DOIs
Publication statusPublished - 2007 Jul 20
Externally publishedYes

Fingerprint

Adaptive Grid
Particle Method
grids
Grid
Fluid
Fluids
fluids
Computational efficiency
High Order Accuracy
Data structures
Interpolation
Computational Efficiency
Data Structures
data structures
Interpolate
Mesh
Robustness
Numerical Examples
interpolation
mesh

Keywords

  • Adaptive grid
  • CIP method
  • Fluid-fluid interface
  • Fluid-solid interface
  • Soroban grid

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Safety, Risk, Reliability and Quality
  • Applied Mathematics
  • Computational Theory and Mathematics
  • Computer Science Applications
  • Computational Mechanics
  • Mechanics of Materials

Cite this

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abstract = "We provide an overview of how fluid-solid and fluid-fluid interfaces can be computed successfully with the constrained interpolation profile/ cubic interpolated pseudo-particle (CIP) method (J. Comput. Phys. 1985; 61:261-268; Comput. Phys. Commun. 1991; 66:219-232; Comput. Phys. Commun. 1991; 66: 233-242; J. Comput. Phys. 2001; 169:556-593) based on adaptive Soroban grids (J. Comput. Phys. 2004; 194:57-77). In this approach, the CIP combined unified procedure (CCUP) technique (J. Phys. Soc. Jpn 1991; 60:2105-2108), which is based on the CIP method, is combined with the adaptive Soroban grid technique. One of the superior features of the approach is that even though the grid system is unstructured, it still has a simple data structure that renders remarkable computational efficiency. Another superior feature is that despite the unstructured and collocated nature of the grid, high-order accuracy and computational robustness are maintained. In addition, because the Soroban grid technique does not have any elements or cells connecting the grid points, the approach does not involve mesh distortion limitations. While the details of the approach and several numerical examples were reported in (Comput. Mech. 2006; published online), our objective in this paper is to provide an easy-to-follow description of the key aspects of the approach.",
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