Variational iteration method for solving compressible Euler equations

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

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.

Keywords: variational iteration method compressible Euler equations approximate analytic solutions Lagrange multiplier

Received: 02 October 2009
Accepted manuscript online:

PACS:	47.40.-x	(Compressible flows; shock waves)
	47.85.Gj	(Aerodynamics)
	51.30.+i	(Thermodynamic properties, equations of state)
	02.60.Lj	(Ordinary and partial differential equations; boundary value problems)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10771019 and 10826107).

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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 2010 Chin. Phys. B 19 070203

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Variational iteration method for solving compressible Euler equations

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