Chinese Journal of Theoretical and Applied Mechani ›› 2008, Vol. 40 ›› Issue (6): 744-751.doi: 10.6052/0459-1879-2008-6-2007-374

• Research paper • Previous Articles     Next Articles

The ausmpw scheme based on adaptive algorithm of interpolating multiwavelets applied to solve euler equations

Yang Sun Boying Wu Guotai Feng   

  • Received:2007-08-03 Revised:1900-01-01 Online:2008-11-25 Published:2008-11-25

Abstract: The high order precision and high resolution of the high order schemes are very important for complex flow field. In this paper, the new AUSMPW scheme based on adaptive algorithm of interpolating multiwavelets was investigated in order to decrease the numerical oscillation and increase the numerical accuracy for discontinuity, such as shock wave. The interpolating multiwavelets is used for multilevel decomposition of the function, and the method of the valve's value is used to construct adaptive grid. Arbitrary precision can be achieved theoretically. The pressure and density obtained in the algorithm are compared with those from original AUSMPW scheme, TVD scheme and WENO scheme. The numerical results demonstrate that the modified AUSMPW scheme has higher resolution, stronger chaseable ability and lower numerical dissipation.

Key words: multiwavelets, adaptive, AUSMPW scheme, WENO scheme, TVD scheme, Euler equations