High order compact difference approximation and acceleration method for poisson equation on non-uniform grids

Zhao Hui Li; Yong Liang Feng; Wen Quan Tao

High order compact difference approximation and acceleration method for poisson equation on non-uniform grids

Zhao Hui Li
, Yong Liang Feng
, Wen Quan Tao

School of Energy and Power Engineering

Xi'an Jiaotong University

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

Abstract

In this paper the high order compact scheme on non-uniform grids is extended from 2D to 3D, and the additive-correction multigrid technique is adopted to accelerate convergence rate. Numerical performance of the adopted method is validated for different boundary conditions. The results show that: this method can be effectively used to solve pressure Poisson equation of the NS equation.

Original language	English
Pages (from-to)	1194-1199
Number of pages	6
Journal	Kung Cheng Je Wu Li Hsueh Pao/Journal of Engineering Thermophysics
Volume	35
Issue number	6
State	Published - Jun 2014

Keywords

High order compact scheme
Multigrid method based on addictive-correction
Pressure Poisson equation (PPE)

Cite this

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title = "High order compact difference approximation and acceleration method for poisson equation on non-uniform grids",

abstract = "In this paper the high order compact scheme on non-uniform grids is extended from 2D to 3D, and the additive-correction multigrid technique is adopted to accelerate convergence rate. Numerical performance of the adopted method is validated for different boundary conditions. The results show that: this method can be effectively used to solve pressure Poisson equation of the NS equation.",

keywords = "High order compact scheme, Multigrid method based on addictive-correction, Pressure Poisson equation (PPE)",

author = "Li, \{Zhao Hui\} and Feng, \{Yong Liang\} and Tao, \{Wen Quan\}",

year = "2014",

month = jun,

language = "英语",

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journal = "Kung Cheng Je Wu Li Hsueh Pao/Journal of Engineering Thermophysics",

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T1 - High order compact difference approximation and acceleration method for poisson equation on non-uniform grids

AU - Li, Zhao Hui

AU - Feng, Yong Liang

AU - Tao, Wen Quan

PY - 2014/6

Y1 - 2014/6

N2 - In this paper the high order compact scheme on non-uniform grids is extended from 2D to 3D, and the additive-correction multigrid technique is adopted to accelerate convergence rate. Numerical performance of the adopted method is validated for different boundary conditions. The results show that: this method can be effectively used to solve pressure Poisson equation of the NS equation.

AB - In this paper the high order compact scheme on non-uniform grids is extended from 2D to 3D, and the additive-correction multigrid technique is adopted to accelerate convergence rate. Numerical performance of the adopted method is validated for different boundary conditions. The results show that: this method can be effectively used to solve pressure Poisson equation of the NS equation.

KW - High order compact scheme

KW - Multigrid method based on addictive-correction

KW - Pressure Poisson equation (PPE)

UR - https://www.scopus.com/pages/publications/84903279756

M3 - 文章

AN - SCOPUS:84903279756

SN - 0253-231X

VL - 35

SP - 1194

EP - 1199

JO - Kung Cheng Je Wu Li Hsueh Pao/Journal of Engineering Thermophysics

JF - Kung Cheng Je Wu Li Hsueh Pao/Journal of Engineering Thermophysics

IS - 6

ER -

High order compact difference approximation and acceleration method for poisson equation on non-uniform grids

Abstract

Keywords

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