AUSM-Based High-Order Solution for Euler Equations

作     者：Angelo L.Scandaliato Meng-Sing Liou 

作者机构：Ohio Aerospace InstituteClevelandOH44142USA NASA Glenn Research CenterClevelandOH44135USA 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2012年第12卷第9期

页      面：1096-1120页

核心收录：

学科分类：07[理学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学] 

基　　金：supported by the Subsonic Fixed Wing and Supersonics Projects under the NASA’s Fundamental Aeronautics Program Aeronautics Mission Directorate.We also thank H.T.Huynh of NASA Glenn Research Center for his help with the MP method 

主　　题：Shock capturing advection upwind splitting Euler equations weighted essentially non-oscillatory monotonicity preserving 

摘      要：In this paper we demonstrate the accuracy and robustness of combining the advection upwind splitting method(AUSM),specifically AUSM+-UP[9],with highorder upwind-biased interpolation procedures,theweighted essentially non-oscillatory(WENO-JS)scheme[8]and its variations[2,7],and the monotonicity preserving(MP)scheme[16],for solving the Euler *** is found to be more effective than the three WENO variations ***+-UP is also shown to be free of the so-called“carbunclephenomenon with the high-order *** characteristic variables are preferred for interpolation after comparing the results using primitive and conservative variables,even though they require additional matrix-vector *** using the Roe flux with an entropy fix and the Lax-Friedrichs approximate Riemann solvers are also included for *** addition,four reflective boundary condition implementations are compared for their effects on residual convergence and solution ***,a measure for quantifying the efficiency of obtaining high order solutions is proposed;the measure reveals that a maximum return is reached after which no improvement in accuracy is possible for a given grid size.