A sixth order entropy condition scheme for compressible flow

Computers & Fluids（2022）

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Abstract

•it can break the limitation of CFL (i.e., CFL > 1).•one step fully-discrete which can reach the exact solution for linear equations when CFL→1.•uniform sixth order accuracy for both time and space without using Runge-Kutta methods.•high resolution at discontinuities and extremes.•high efficiency and CPU time is only one third of WENO7.

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Key words

Solution formula method,Entropy condition,Fully-discrete,Sixth-order accuracy,Conservation laws,Euler equations

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