A combined Event-Driven/Time-Driven molecular dynamics algorithm for the simulation of shock waves in rarefied gases

Mott-Smith, 1951, The solution of the Boltzmann equation for a shock wave, Phys. Rev., 82, 885, 10.1103/PhysRev.82.885 Schmidt, 1969, Electron beam density measurements in shock waves in argon, J. Fluid Mech., 39, 361, 10.1017/S0022112069002229 Cercignani, 1999, The structure of an infinitely strong shock wave, Phys. Fluids, 11, 2757, 10.1063/1.870134 Robben, 1966, Measurement of shock wave thickness by the electron beam fluorescence method, Phys. Fluids, 9, 633, 10.1063/1.1761728 Alsmeyer, 1976, Density profiles in argon and nitrogen shock waves measured by the absorption of an electron beam, J. Fluid Mech., 74, 497, 10.1017/S0022112076001912 Muntz, 1969, Molecular velocity distribution function measurements in a normal shock wave, Phys. Fluids, 12, 2027, 10.1063/1.1692308 Holtz, 1983, Molecular velocity distribution functions in an argon normal shock wave at Mach number 7, Phys. Fluids, 29, 2425, 10.1063/1.864428 Pham-Van-Diep, 1989, Nonequilibrium molecular motion in a hypersonic shock wave, Science, 245, 624, 10.1126/science.245.4918.624 Bird, 1963, Approach to translational equilibrium in a rigid sphere gas, Phys. Fluids, 6, 1518, 10.1063/1.1710976 Bird, 1994 Erwin, 1991, Nonequilibrium gas flows. I: A detailed validation of Monte Carlo direct simulation for monatomic gases, Phys. Fluids A, 3, 697, 10.1063/1.858075 Valentini, 2009, Large-scale molecular dynamics simulations of normal shock waves in dilute argon, Phys. Fluids, 21, 066101-1, 10.1063/1.3149866 Alder, 1957, Phase transition for a hard sphere system, J. Chem. Phys., 27, 1208, 10.1063/1.1743957 Alder, 1959, Studies in molecular dynamics. I. General method, J. Chem. Phys., 31, 459, 10.1063/1.1730376 Tokumasu, 1999, Dynamic molecular collision (DMC) model for rarefied gas flow simulations by the DSMC method, Phys. Fluids, 11, 1907, 10.1063/1.870053 Holian, 1980, Shock-wave structure via non-equilibrium molecular dynamics and Navier–Stokes continuum mechanics, Phys. Rev. A, 22, 2797, 10.1103/PhysRevA.22.2798 Schlamp, 2007, Higher moments of the velocity distribution function in dense-gas shocks, J. Comput. Phys., 223, 305, 10.1016/j.jcp.2006.09.020 Kowalczyk, 2008, Numerical solutions of the Boltzmann equation: comparison of different algorithms, Eur. J. Mech. B-Fluid, 27, 62, 10.1016/j.euromechflu.2007.04.001 Salomons, 1992, Usefulness of the Burnett description of strong shock waves, Phys. Rev. Lett., 69, 269, 10.1103/PhysRevLett.69.269 Allen, 1987 Donev, 2005, Neighbor list collision-driven molecular dynamics simulation for nonspherical hard particles. I. Algorithmic details, J. Comput. Phys., 202, 737, 10.1016/j.jcp.2004.08.014 Paul, 2007, A complexity O(1) priority queue for event driven molecular dynamics simulations, J. Comput. Phys., 221, 615, 10.1016/j.jcp.2006.06.042 Miller, 2003, Event-Driven molecular dynamics in parallel, J. Comput. Phys., 193, 307 Haile, 1997 Frenkel, 2002 Dietrich, 1996, Scalar and parallel optimized implementation of the Direct Simulation Monte Carlo method, J. Comput. Phys., 126, 328, 10.1006/jcph.1996.0141 Hirschfelder, 1954 Chapman, 1970 Macrossan, 2001, ν-DSMC: a fast simulation method for rarefied flow, J. Comput. Phys., 173, 600, 10.1006/jcph.2001.6898