Abstract
The multidimensional high-order accurate gas-kinetic scheme is introduced and preliminarily applied into the direct numerical simulation of compressible turbulence. Based on the high-order multidimensional expansion of the initial and equilibrium distribution functions, the time-dependent distribution function at a cell interface can be obtained with the integral solution of BGK equation. Then the high-order accurate gas-kinetic finite-volume scheme can be developed with truly multidimensional characteristics. The new scheme is applied into the numerical simulation of decaying homogeneous isotropic turbulence and compressible channel flow, and the predicted flow fields agree well with existing studies. It is shown that when compared to the second-order gas-kinetic scheme, the high-order scheme possesses better accuracy.
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