可压缩流动的高分辨率低耗散混合格式研究(英文)

针对可压缩流场的计算,提出了一种混合型激波捕捉格式来获得对于光滑区域和流场间断都具有高精度的解。该混合方法采用有限体积形式的五阶WENO格式来计算流场的光滑区域,而采用MUSCL格式来捕捉流场中的间断。该混合格式结合WENO格式的低耗散特性和MUSCL格式的高分辨率特性。两种格式之间通过一个间断感受因子进行切换。文中选择了三种典型的间断感受因子进行对比研究。WENO格式和MUSCL格式均为激波捕捉格式,因此混合开关中的常数的选择范围相对较宽。选取了若干典型算例对于混合格式的性能进行了研究,并对不同格式的计算精度和效率进行了对比。数值结果表明,与WENO和MUSCL相比,本文提出的混合方法在较广的范围内均表现出良好的特性。

A High Resolution Low Dissipation Hybrid Scheme for Compressible Flows

In this paper, an efficient hybrid shock capturing scheme is proposed to obtain accurate results both in the smooth region and around discontinuities for compressible flows. The hybrid algorithm is based on a fifth-order weighted essentially non-oscillatory (WENO) scheme in the finite volume form to solve the smooth part of the flow field, which is coupled with a characteristic-based monotone upstream-centered scheme for conservation laws (MUSCL) to capture discontinuities. The hybrid scheme is intended to combine high resolution of MUSCL scheme and low dissipation of WENO scheme. The two ingredients in this hybrid scheme are switched with an indicator. Three typical indicators are chosen and compared. MUSCL and WENO are both shock capturing schemes making the choice of the indicator parameter less crucial. Several test cases are carried out to investigate hybrid scheme with different indicators in terms of accuracy and efficiency. Numerical results demonstrate that the hybrid scheme in the present work performs well in a broad range of problems.