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http://dx.doi.org/10.5139/JKSAS.2002.30.2.021

Analysis of Oscillatory Behaviors in Shock Waves and Development of M-AUSMPW+  

Kim,Gyu-Hong
Lee,Gyeong-Tae
Kim,Jong-Am
No,O-Hyeon
Publication Information
Journal of the Korean Society for Aeronautical & Space Sciences / v.30, no.2, 2002 , pp. 21-29 More about this Journal
Abstract
The M-AUSMPW+ scheme that can capture shock waves exactly with monotonic characteristic is developed by analyzing the cause of oscillation in shock regions. Firstly shock-capturing characteristics of general FVS including the AUSM-type schemes are investigated in detail, according to the different between a cell-interface and a sonic transition position. The cause of oscillation is the improper numerical dissipation that could not represent the real physics. The M-AUSMPW+ could capture shocks exactly without oscillatory behaviors in considering the sonic transition position and an cell-interface position
Keywords
M-AUSMPW+; AUSMPW+FVS; AUSM+;
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1 M. S. Liou, "A Sequel to AUSM: AUSM+," J. of Computational Physics, Vol. 129, 1996, pp.364-382.   DOI   ScienceOn
2 B. van Leer, "Flux-vector Splitting for the Euler Equation," Lecture Notes in physics, Vol. 170, 1982, pp.507-512.   DOI
3 K. H. Kim, and O. H. Rho, "An Improvement of AUSM Schemes by Introducing the Pressure-based Weight Functions," The fifth Annual Conference of the Computational Fluid Dynamics Society of Canada (CFD 97), 1997, Vol. 5, pp.(14-33)-(14-38).
4 H. C. Yee, G. H. Kolpfer, and J. L. Montague, "High-Resolution Shock Capturing Schemes for Inviscid and Viscous Hypersonic Flows," NASA TM 101088, 1989.
5 B. Einfeldt, "On Godunov-Type Method for Gas Dynamics," SIAM J. Numer Anal., Vol. 25(2), 1988, pp.294-318.   DOI   ScienceOn
6 P. K. Sweby, "High Resolution TVD Schemes Using Flux Limiters," Lectures in Applied Mathematics, Vol. 22, 1985, pp.289-309.
7 J, Gressier, P. Villedieu, and J-M Moshetta, "Positivity of Flux Vector Splitting Schemes," J. of Computational Physics, Vol. 155, 1999, pp.199-220.   DOI   ScienceOn
8 P. L. Roe, "Approximate Riemann Solvers, Parameter Vectors and Difference Schemes," J. of Computational Physics, Vol. 43, 1981, pp.357-372.   DOI   ScienceOn
9 P. L. Roe, "A Survey of Upwind Differencing Techniques," Lecture Notes in Physics, Vol. 323, 1989, p.69.   DOI
10 K. H. Kim, and O. H. Rho, "An Improvement of AUSM Schemes by Introducing the Pressure-based Weight Functions," Computers & Fluids, Vol. 27(3), 1998, pp.311-346.   DOI   ScienceOn
11 J. R. Edwards, "A Low-Diffusion Flux-Splitting Scheme for Navier-Stokes Calculations," AIAA Paper 95-1703-CP, 1995.
12 A. Harten, "High Resolution Schemes for Hyperbolic Conservation Laws," J. of Computational Physics, Vol. 49, 1983, pp.357-393.   DOI   ScienceOn
13 J. L. Steger, and R. F. Warming, "Flux Vector Splitting of the Inviscid Gasdynamic Equations with Application to Finite-Difference Methods," J. of Computational Physics, Vol. 40, 1981, pp.263-293.   DOI   ScienceOn
14 C. Hirsh, Numerical Computation of Internal and External Flows, Vol. 1,2, (John Wiley & Sons, 1990.
15 K. H. Kim, C. Kim, and O. Rho, "Accurate Computations of Hypersonic Flows Using AUSMPW+ Scheme and Shock-Aligned Grid Technique," AIAA Paper 98-2442, 1998.
16 D. Hanel, R. Schwane, and G. Seider, "On the Accuracy of Upwind Schemes for the Solution of the Navier-Stokes Equations," AIAA paper 87-1105-CP, 1987.