论文信息 - On the Proper Setup of the Double Mach Reflection as a Test Case for the Resolution of Gas Dynamics Codes - 字舞流文

On the Proper Setup of the Double Mach Reflection as a Test Case for the Resolution of Gas Dynamics Codes

This note discusses the initial and boundary conditions as well as the size of the computational domain for the double Mach reflection problem when set up as a test for the resolution of an Euler scheme for gas dynamics.

Friedemann Kemm

[1] William J. Rider,et al. Accurate monotonicity- and extrema-preserving methods through adaptive nonlinear hybridizations , 2007, J. Comput. Phys..

[2] Peng Li,et al. Hybrid Fourier-Continuation Method and Weighted Essentially Non-oscillatory Finite Difference Scheme for Hyperbolic Conservation Laws in a Single-Domain Framework , 2015, J. Sci. Comput..

[3] P. Woodward,et al. The numerical simulation of two-dimensional fluid flow with strong shocks , 1984 .

[4] F. Kemm. A comparative study of TVD‐limiters—well‐known limiters and an introduction of new ones , 2011 .

[5] Gabi Ben-Dor,et al. Shock wave reflection phenomena , 1992 .

[6] Jun Peng,et al. Improvement of weighted compact scheme with multi-step strategy for supersonic compressible flow , 2015 .

[7] H. Li,et al. A shock dynamics theory based analytical solution of double Mach reflections , 1995 .

[8] Yih Nen Jeng,et al. An Adaptive TVD Limiter , 1995 .

[9] R. LeVeque. Finite Volume Methods for Hyperbolic Problems: Characteristics and Riemann Problems for Linear Hyperbolic Equations , 2002 .

[10] Friedemann Kemm,et al. CFL-Number-dependent TVD-Limiters , 2012 .

[11] Ami Harten,et al. Self adjusting grid methods for one-dimensional hyperbolic conservation laws☆ , 1983 .

[12] L. G. Gvozdeva,et al. Double Mach reflection of strong shock waves , 1968 .