Application of Algebraic Multigrid Method to Solve the Splitting Scheme of One-dimensional Euler Equations

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 1997, Vol. 14 ›› Issue (1): 19-25.

Previous Articles Next Articles

Application of Algebraic Multigrid Method to Solve the Splitting Scheme of One-dimensional Euler Equations

Fu Hanqing¹, Chang Qianshun²

1. Laboratory of Computational Physics, IAPCM, Beij ing 100088;
2. Insti tute of App lied Mathemati cs, Academia S inica, Beijing 100080

Received:1995-05-31 Online:1997-01-25 Published:1997-01-25
Supported by:
This project is supported by the National Natural Science Foundation of China and the Foundation of China Academy of Engineering Physics.

Abstract

Abstract: A new algorithm of algebraic multigrid (AMG)method is proposed.As an important example, the AMG method is applied to solve the splitting scheme of the Euler equations.The equations with high CFL number can be calculated with the AMG method.This example demonstrates that the AMG method can solve the linear algebraic systems of equations unable to be solved by Gauss-Seidel iteration method.This is a new result and extends the range of application of the AMG method.

Key words: splitting scheme, algebraic multigrid method, Euler equations

CLC Number:

O241

Fu Hanqing, Chang Qianshun. Application of Algebraic Multigrid Method to Solve the Splitting Scheme of One-dimensional Euler Equations[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 14(1): 19-25.

[1]	ZHAO Guozhong, YU Xijun, LI Zhenzhen. Runge-Kutta Control Volume Discontinuous Finite Element Method for Multi-medium Fluid Simulations [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 31(3): 271-284.
[2]	LI Zhenzhen, YU Xijun, Zhao Guozhong, Feng Tao. A RKDG Finite Element Method for Lagrangian Euler Equations in One Dimension [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 31(1): 1-10.
[3]	CEHN Rongqian, WU Yizhao, XIA Jian. Automobile Wind Noise Prediction Using Stochastic Method [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2013, 30(1): 98-104.
[4]	ZHANG Lei, YUAN Li. Runge-Kutta Discontinuous Galerkin Method for Detonation Waves [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 27(4): 509-517.
[5]	SHU Shi, HUANG Yun-qing, YANG Ying, YU Xi-jun, XIAO Ying-xiong. A Class of Algebraic Multigrid Algorithms with Three-Dimensional Equal Algebraic Structures [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2005, 22(6): 18-22.
[6]	YUAN Guang-wei, SHEN Long-jun, SHEN Zhi-jun. Adaptive Coordinate Transformation Methods [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2005, 22(1): 7-12.
[7]	ZHENG Hua-sheng, ZHAO Ning. A High Order Accurate TVD Difference Scheme for Hyperbolic Conservation Laws [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2005, 22(1): 13-18.
[8]	DONG Hai-tao, ZHANG Li-dong, LEE Chun-Hian. Domain Decomposition Method Utilizing Chimera Grids in Conjunction with a Second Order Difference Scheme Based on an Entropy Condition [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2003, 20(2): 102-106.
[9]	SHI Wei-ping, GENG Ai-fang, HUANG Ming-you, HU Shou-xin. KINETIC FLUX VECTOR SPLITTING METHOD BASED ON MAXWELL-BOLTZMANN DISTRIBUTION FUNCTION [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2002, 19(1): 17-22.
[10]	TANG Hua-zhong, WU Hua-mo. HIGH RESOLUTION KFVS FINITE VOLUME METHODS FOR MULTICOMPONENT FLOW CALCULATIONS [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 17(S1): 179-186.
[11]	NING Fang-fei, XU Li-ping. APPLICATION OF GMRES ALGORITHM IN THE PREDICTIONS OF TWO-DIMENSIONAL INVISCOUS STEADY FLOWS [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 17(5): 537-547.
[12]	WANG Xiao-peng, GAO Zheng-hong. AERODYNAMIC OPTIMIZATION DESIGN THROUGH SELF-ADAPTIVE GENETIC ALGORITHM [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 17(5): 573-578.
[13]	LU Xiao-bin, LAN Qian-zhang, ZHU Zi-qiang. DOMAIN DECOMPOSITION METHOD AND PARALLEL COMPUTING METHOD TO SOLVE EULER EQUATIONS [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 17(4): 360-366.
[14]	Ye Zhengyin, Yang Yongnian, Zhong Chengwen, Zhang Zhongyin, Chen Yingchun. Investigation on generation of 2d unstructured grids and euler equations solution [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1999, 16(6): 669-674.
[15]	Zhu Qingyong, Ma Yanwen. A HIGH ORDER ACCURATE UPWIND COMPACT SCHEME WITH GROUP VELOCITY CONTROL FOR SOLVING HYPERBOLIC CONSERVATION LAWS [J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1998, 15(5): 531-536.

Application of Algebraic Multigrid Method to Solve the Splitting Scheme of One-dimensional Euler Equations

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics

Authors

Reviewers

Journal Online

About Journal