Variational iteration method for solving compressible Euler equations

doi:10.1088/1674-1056/19/7/070203

中国物理B ›› 2010, Vol. 19 ›› Issue (7): 70203-070203.doi: 10.1088/1674-1056/19/7/070203

Variational iteration method for solving compressible Euler equations

赵国忠¹, 朱江², 蔚喜军³, 徐云³

(1)Graduate School of China Academy of Engineering Physics, Beijing 100088, China; (2)Laboratório Nacional de Computacáo Cientifica, MCT, Avenida Getúlio Vargas 333, 25651-075 Petrópolis, RJ, Brazil; (3)Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

收稿日期:2009-10-02 出版日期:2010-07-15 发布日期:2010-07-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10771019 and 10826107).

Variational iteration method for solving compressible Euler equations

Zhao Guo-Zhong (赵国忠)^a, Yu Xi-Jun (蔚喜军)^b, Xu Yun (徐云)^b, Zhu Jiang (朱江)^c

^a Graduate School of China Academy of Engineering Physics, Beijing 100088, China; ^b Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China; ^c Laboratório Nacional de Computacáo Cientifica, MCT, Avenida Getúlio Vargas 333, 25651-075 Petrópolis, RJ, Brazil

Received:2009-10-02 Online:2010-07-15 Published:2010-07-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10771019 and 10826107).

摘要/Abstract

摘要： This paper applies the variational iteration method to obtain approximate analytic solutions of compressible Euler equations in gas dynamics. This method is based on the use of Lagrange multiplier for identification of optimal values of parameters in a functional. Using this method, a rapid convergent sequence is produced which converges to the exact solutions of the problem. Numerical results and comparison with other two numerical solutions verify that this method is very convenient and efficient.

Abstract: This paper applies the variational iteration method to obtain approximate analytic solutions of compressible Euler equations in gas dynamics. This method is based on the use of Lagrange multiplier for identification of optimal values of parameters in a functional. Using this method, a rapid convergent sequence is produced which converges to the exact solutions of the problem. Numerical results and comparison with other two numerical solutions verify that this method is very convenient and efficient.

Key words: variational iteration method, compressible Euler equations, approximate analytic solutions, Lagrange multiplier

中图分类号: (Compressible flows; shock waves)

47.40.-x

47.85.Gj (Aerodynamics) 51.30.+i (Thermodynamic properties, equations of state) 02.60.Lj (Ordinary and partial differential equations; boundary value problems)

赵国忠, 蔚喜军, 徐云, 朱江. Variational iteration method for solving compressible Euler equations[J]. 中国物理B, 2010, 19(7): 70203-070203.

Zhao Guo-Zhong (赵国忠), Yu Xi-Jun (蔚喜军), Xu Yun (徐云), Zhu Jiang (朱江). Variational iteration method for solving compressible Euler equations[J]. Chin. Phys. B, 2010, 19(7): 70203-070203.

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Variational iteration method for solving compressible Euler equations

Variational iteration method for solving compressible Euler equations

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