Complex Compressible Flow Computation Based on Modified Fifth-Order Accuracy Method

Abstract

An improved fifth-order scheme is developed by improving the smoothing factor of weighted essentially non-oscillatory scheme. Based on different weighting methods, the scheme will have different effects of maintaining essentially non-oscillatory characteristic at extreme values. The local smoothing factor of second-order accuracy is constructed, so that the scheme has fifth-order accuracy at the extreme value. The classical problems of one-dimensional convection equations, one-dimensional and two-dimensional Euler equations are computed. The calculation results show that the new scheme has higher accuracy and convergence speed, and at the same time, it can effectively capture complex flows including discontinuities and shock.