The Application Of The Higher-order Finite Volume WENO Schemes To The High Density Ratio Rayleigh-Taylor Instability Problem

This paper focuses on the higher order ?nite-volume weighted essentially non-oscillatory schemes, the numerical simulation of the high density ratio the two-dimensional Rayleigh-Taylor instability questions. In actual situation, the ?uiddensity often di?ers greatly in di?erent medium. In the Rayleigh-Taylor instabilitynumerical simulation based on di?erent density, the high density ratio becomesmore di?cult and important, thus receives the numerous scholar's widespread at-tention.Based on the predecessor's research, this paper has further studies the highdensity ratio Rayleigh-Taylor instability, using the fouth-order and ?fth-order ?nite-volume WENO form constructed on structure grid. This paper analyzes theRayleigh-Taylor instability through the non-viscous Euler equation set as the pat-tern equation set. And then make a comparison between the density distributionwhich obtained from the ?nite di?erence WENO form with the increasing densityratio. At last prove that high order ?nite-volume WENO forms has contributed avalid e?ect to the instability of the simulation high density ratio Rayleigh-Taylor.