An alternative characteristic-wise WENO-Z finite difference scheme for solving the compressible multicomponent non-reactive flows in the overestimated quasi-conservative form

报告人：Wai Sun Don （ Ocean University of China）

时间：2019年6月26日（周三）下午3：00―4：00

地点：逸夫工商楼105

摘要：The fifth, seventh and ninth order characteristic-wise alternative weighted essentially non-oscillatory (AWENO) finite difference schemes are applied to the fully conservative (FC) form and overestimated quasi-conservative (OQC) form of the compressible multicomponent flows. Several linear and nonlinear numerical operators such as the linear Lax-Friedrichs operator and linearized nonlinear WENO operator and their mathematical properties are defined to build a mathematical framework for identifying conditions required in maintaining the equilibriums. In the case of OQC form, the AWENO scheme with the modified flux can be rigorously proved to maintain the equilibriums of velocity, pressure and temperature. Furthermore, we also show that the FC form cannot maintain the equilibriums without an additional advection equation of auxiliary variable involving the specific heat ratio. Extensive one- and two-dimensional classical problems such as the moving material interface problem, multifluid shock-density interaction problem and shock-R22-bubble interaction problem verify the theoretical results and also show that the AWENO scheme demonstrates less dissipation errors and higher resolution than the classical WENO-Z scheme in the splitting form [T. Nonomura et al. J. Comput. Phys. 340 (2017)].

联系人：仲杏慧老师 zhongxh@zju.edu.cn

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