Novel Cartesian Implementation of the Direct Simulation Monte Carlo Method

A new Cartesian implementation of the direct simulation Monte Carlo (DSMC) method, named the hypersonic aerothermodynamics particle (HAP) code, is presented. This code is intended for rapid setup and simulation of rarefied flow problems, and as a framework for evaluating new physical models and numerical techniques. Unique features include the use of nonuniform Cartesian adaptive subcells, a collision probability modification to reduce errors associated with spatial averaging in collision probabilities, and automatic planar element approximation of analytically defined two or three-dimensional surface geometries. In this work, simulations are performed using both HAP and an established DSMC code for a rarefied hypersonic flow over a flat plate, and excellent overall agreement is found. Additional simulations are employed to demonstrate reduced dependence on cell size through a proposed collision probability modification. Results are also presented for a threedimensional HAP simulation of hypersonic flow over a blunted cone, and reasonably good agreement with experimental data is observed.

[1]  Leonardo C. Scalabrin,et al.  Velocity Slip and Temperature Jump in Hypersonic Aerothermodynamics , 2007 .

[2]  Quanhua Sun,et al.  Evaluation of Macroscopic Properties in the Direct Simulation Monte Carlo Method , 2005 .

[3]  J. M. Burt,et al.  Uncertainties in Satellite Drag Associated with Variations in Atmospheric Conditions , 2013 .

[4]  Thomas E. Schwartzentruber,et al.  A Three-Level Cartesian Geometry Based Implementation of the DSMC Method , 2010 .

[5]  Claus Borgnakke,et al.  Statistical collision model for Monte Carlo simulation of polyatomic gas mixture , 1975 .

[6]  Jonathan M. Burt,et al.  Satellite Drag Uncertainties Associated with Atmospheric Parameter Variations at Low Earth Orbits , 2013 .

[7]  Mikhail S. Ivanov,et al.  Statistical simulation of reactive rarefied flows - Numerical approach and applications , 1998 .

[8]  Thomas E. Schwartzentruber,et al.  Particle Simulations of Planetary Probe Flows Employing Automated Mesh Refinement , 2011 .

[9]  Forrest E. Lumpkin,et al.  Virtual Sub-Cells for the Direct Simulation Monte Carlo Method , 2003 .

[10]  J. M. Burt,et al.  Evaluation of a Particle Method for the Ellipsoidal Statistical Bhatnagar-Gross-Krook Equation (POSTPRINT) , 2006 .

[11]  Jong-Shinn Wu,et al.  Parallel three-dimensional DSMC method using mesh refinement and variable time-step scheme , 2004, Comput. Phys. Commun..

[12]  Michael N. Macrossan Searching for a near neighbor particle in DSMC cells using pseudo-subcells , 2010, J. Comput. Phys..

[13]  Graeme A. Bird,et al.  The DS2V/3V Program Suite for DSMC Calculations , 2005 .

[14]  J. M. Burt,et al.  Continuum Breakdown Effects on Surface Properties for Hypersonic Shock Wave-Boundary Layer Interaction , 2013 .

[15]  Andrew J. Lofthouse,et al.  Nonequilibrium Hypersonic Aerothermodynamics Using the Direct Simulation Monte Carlo And Navier-Stokes Models , 2008 .

[16]  Thomas E. Schwartzentruber,et al.  Parallel Implementation of the Direct Simulation Monte Carlo Method For Shared Memory Architectures , 2010 .

[17]  Graeme A. Bird,et al.  Approach to Translational Equilibrium in a Rigid Sphere Gas , 1963 .

[18]  B. Alder,et al.  Phase Transition for a Hard Sphere System , 1957 .

[19]  G. Bird Molecular Gas Dynamics and the Direct Simulation of Gas Flows , 1994 .

[20]  V. V. Aristov,et al.  Unified solver for rarefied and continuum flows with adaptive mesh and algorithm refinement , 2007, J. Comput. Phys..

[21]  B. Z. Cybyk,et al.  Direct Simulation Monte Carlo: Recent Advances and Applications , 1998 .

[22]  J. Allegre,et al.  Experimental Rarefied Density Flowfields at Hypersonic Conditions over 70-Degree Blunted Cone , 1997 .

[23]  Stefan Dietrich,et al.  Scalar and Parallel Optimized Implementation of the Direct Simulation Monte Carlo Method , 1996 .

[24]  G. J. LeBeau,et al.  A parallel implementation of the direct simulation Monte Carlo method , 1999 .

[25]  Anna Walsh STUDIES IN MOLECULAR DYNAMICS , 1965 .

[26]  Michail A. Gallis,et al.  Accuracy and efficiency of the sophisticated direct simulation Monte Carlo algorithm for simulating noncontinuum gas flows , 2009 .

[27]  J. Allegre,et al.  Experimental Rarefied Heat Transfer at Hypersonic Conditions over 70-Degree Blunted Cone , 1997 .

[28]  J. R. Torczynski,et al.  Effect of collision‐partner selection schemes on the accuracy and efficiency of the direct simulation Monte Carlo method , 2011 .

[29]  J. Mcdonald,et al.  A collision-selection rule for a particle simulation method suited to vector computers , 1990 .