An effective flux scheme for hypersonic heating prediction of re-entry vehicles

Abstract In this article, an effective computational method called TVM is proposed for the hypersonic heating prediction of the re-entry vehicles. Aimming at resolving the boundary layer accurately, the method adopted the splitting manner of the Toro and Vzquez’s splitting procedure with an improved low-dissipation modification. Also, the method is robust against the shock anomaly in hypersonic flows. The detailed construction of the scheme is presented and a series of testcases are conducted to validate the performance of the newly developed scheme. Finally, the scheme is applied to the simulation of the hypersonic re-entry vehicles. Numerical results show its high performance in the prediction of the re-entry vehicles hypersonic heating load compared to the traditional methods.

[1]  J. Edwards,et al.  Low-Diffusion Flux-Splitting Methods for Flows at All Speeds , 1997 .

[2]  Peter A. Gnoffo,et al.  Multi-Dimensional, Inviscid Flux Reconstruction for Simulation of Hypersonic Heating on Tetrahedral Grids , 2009 .

[3]  E. Toro.  Riemann Solvers and Numerical Methods for Fluid Dynamics , 1997 .

[4]  Eiji Shima,et al.  Towards shock-stable and accurate hypersonic heating computations: A new pressure flux for AUSM-family schemes , 2013, J. Comput. Phys..

[5]  F. R. Riddell,et al.  Theory of Stagnation Point Heat Transfer in Dissociated Air , 1958 .

[6]  Graham de Vahl Davis,et al.  Advances in Computational Heat Transfer , 2006 .

[7]  Chao Yan,et al.  A robust flux splitting method with low dissipation for all‐speed flows , 2017 .

[8]  P. Roe.  Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .

[9]  Russell M. Cummings,et al.  Critical Hypersonic Aerothermodynamic Phenomena , 2006 .

[10]  Li-jun Yang,et al.  Spray Characteristics of Elliptical Power-Law Fluid-Impinging Jets , 2017 .

[11]  V. Eliasson,et al.  Numerical and experimental investigation of oblique shock wave reflection off a water wedge , 2017, Journal of Fluid Mechanics.

[12]  Feng Qu,et al.  Investigation into the influences of the low speed's accuracy on the hypersonic heating computations , 2016 .

[13]  Eiji Shima,et al.  Multidimensional numerical noise from captured shock wave and its cure , 2013 .

[14]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection , 1977 .

[15]  M. Liou.  A Sequel to AUSM , 1996 .

[16]  Eiji Shima,et al.  Carbuncle Phenomena and Other Shock Anomalies in Three Dimensions , 2012 .

[17]  Zi-Niu Wu,et al.  Review of shock wave detection method in CFD post-processing , 2013 .

[18]  Keiichi Kitamura,et al.  Assessment of SLAU2 and other flux functions with slope limiters in hypersonic shock-interaction heating , 2016 .

[19]  Chenyuan Bai,et al.  A hypersonic lift mechanism with decoupled lift and drag surfaces , 2013 .

[20]  A. Jameson,et al.  Lower-upper Symmetric-Gauss-Seidel method for the Euler and Navier-Stokes equations , 1988 .

[21]  Eiji Shima,et al.  Parameter-Free Simple Low-Dissipation AUSM-Family Scheme for All Speeds , 2011 .

[22]  Fang Chen,et al.  Assessment of Limiting Processes of Numerical Schemes on Hypersonic Aeroheating Predictions , 2016 .

[23]  B. Mueller,et al.  Simple improvements of an upwind TVD scheme for hypersonic flow , 1989 .

[24]  Keiichi Kitamura,et al.  Evaluation of Euler Fluxes for Hypersonic Flow Computations , 2009 .

[25]  Domenic D'Ambrosio,et al.  Numerical Prediction of Laminar Shock/Shock Interactions in Hypersonic Flow , 2002 .

[26]  Xue-song Li,et al.  Mechanism of Roe-type schemes for all-speed flows and its application , 2013 .

[27]  Eleuterio F. Toro,et al.  Flux splitting schemes for the Euler equations , 2012 .

[28]  Jian Yu,et al.  A new flux splitting scheme for the Euler equations , 2014 .

[29]  P. Morris,et al.  Improved Block Interface Conditions for Aeroacoustic Problems with Grid Discontinuities , 2015 .

[30]  Philippe Fillion,et al.  FLICA-OVAP: A new platform for core thermal–hydraulic studies , 2011 .

[31]  James Menart,et al.  Grid Study on Blunt Bodies with the Carbuncle Phenomenon , 2007 .

[32]  J. H. Thomas,et al.  X-33 Computational Aeroheating Predictions and Comparisons With Experimental Data , 1999 .