摘要
本文利用流体力学扩散抛物化基本理论,研究Rayleigh-Taylor(RT)不稳定性问题。描述流场的模型为方程组体系:边界层方程组,DPNS方程组,Euler方程组。数值例子中,采用3rd-MCeno格式模拟RT不稳定性问题并与3rd-WENO、5rd-WENO数值结果比较。数值结果表明,扩散抛物化基本理论是描述RT不稳定问题的一套有效理论,并且,通过与高阶格式的比较显示出3rd-MCeno格式的优势。
In this short note, based on diffusion parabolized theory, we divide the whole flow field into three basic flows described by boundary layer equations, DPNS equations_and Euler equations,_and_adopt 3rd-MCeno scheme to simulate RT instability. Comparison of numerical results from 3rd-MCeno scheme with those of 3rd-WENO, 5rd-WENO schemes shows that the diffusion parabolized theory is effective to simulate the RT instability, and comparing with high order scheme, 3rd-MCeno method displays its advantages.
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
2008年第4期372-378,共7页
Chinese Journal of Hydrodynamics
基金
国家自然科学基金(10676031,10771178)
教育部博士基金(20070530003)
