The compact CIP (cubic-interpolated pseudo-particle) method as a general hyperbolic solver

Takashi Yabe; Takayuki Aoki; Gyo Sakaguchi; Pei Yuan Wang; Takeo Ishikawa

doi:10.1016/0045-7930(91)90067-R

The compact CIP (cubic-interpolated pseudo-particle) method as a general hyperbolic solver

Takashi Yabe, Takayuki Aoki, Gyo Sakaguchi, Pei Yuan Wang, Takeo Ishikawa

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

27 Scopus citations

Abstract

A new universal solver is proposed for general hyperbolic equations; multi-dimensional, linear and nonlinear equations with dissipative and dispersive terms. The scheme uses piecewise cubic polynomial interpolation inside meshes. The physical quantity and its spatial derivative are advanced in time according to the given equation. The scheme not only describes a sharp discontinuity with only one mesh but also reproduces the traveling wave train in the dispersive media. The extension to higher dimensions is straightforward.

Original language	English
Pages (from-to)	421-431
Number of pages	11
Journal	Computers and Fluids
Volume	19
Issue number	3-4
DOIs	https://doi.org/10.1016/0045-7930(91)90067-R
State	Published - 1991
Externally published	Yes

Access to Document

10.1016/0045-7930(91)90067-R

Cite this

@article{a9b4628de78b46a0bc5e782c2af89e86,

title = "The compact CIP (cubic-interpolated pseudo-particle) method as a general hyperbolic solver",

abstract = "A new universal solver is proposed for general hyperbolic equations; multi-dimensional, linear and nonlinear equations with dissipative and dispersive terms. The scheme uses piecewise cubic polynomial interpolation inside meshes. The physical quantity and its spatial derivative are advanced in time according to the given equation. The scheme not only describes a sharp discontinuity with only one mesh but also reproduces the traveling wave train in the dispersive media. The extension to higher dimensions is straightforward.",

author = "Takashi Yabe and Takayuki Aoki and Gyo Sakaguchi and Wang, {Pei Yuan} and Takeo Ishikawa",

year = "1991",

doi = "10.1016/0045-7930(91)90067-R",

language = "English",

volume = "19",

pages = "421--431",

journal = "Computers and Fluids",

issn = "0045-7930",

publisher = "Elsevier Ltd.",

number = "3-4",

}

TY - JOUR

T1 - The compact CIP (cubic-interpolated pseudo-particle) method as a general hyperbolic solver

AU - Yabe, Takashi

AU - Aoki, Takayuki

AU - Sakaguchi, Gyo

AU - Wang, Pei Yuan

AU - Ishikawa, Takeo

PY - 1991

Y1 - 1991

N2 - A new universal solver is proposed for general hyperbolic equations; multi-dimensional, linear and nonlinear equations with dissipative and dispersive terms. The scheme uses piecewise cubic polynomial interpolation inside meshes. The physical quantity and its spatial derivative are advanced in time according to the given equation. The scheme not only describes a sharp discontinuity with only one mesh but also reproduces the traveling wave train in the dispersive media. The extension to higher dimensions is straightforward.

AB - A new universal solver is proposed for general hyperbolic equations; multi-dimensional, linear and nonlinear equations with dissipative and dispersive terms. The scheme uses piecewise cubic polynomial interpolation inside meshes. The physical quantity and its spatial derivative are advanced in time according to the given equation. The scheme not only describes a sharp discontinuity with only one mesh but also reproduces the traveling wave train in the dispersive media. The extension to higher dimensions is straightforward.

UR - http://www.scopus.com/inward/record.url?scp=0025844677&partnerID=8YFLogxK

U2 - 10.1016/0045-7930(91)90067-R

DO - 10.1016/0045-7930(91)90067-R

M3 - Article

AN - SCOPUS:0025844677

SN - 0045-7930

VL - 19

SP - 421

EP - 431

JO - Computers and Fluids

JF - Computers and Fluids

IS - 3-4

ER -

The compact CIP (cubic-interpolated pseudo-particle) method as a general hyperbolic solver

Abstract

Access to Document

Other files and links

Fingerprint

Cite this