An implicit parallel UGKS solver for flows covering various regimes

This paper presents an engineering-oriented UGKS solver package developed in China Aerodynamics Research and Development Center (CARDC). The solver is programmed in Fortran language and uses structured body-fitted mesh, aiming for predicting aerodynamic and aerothermodynamics characteristics in flows covering various regimes on complex three-dimensional configurations. The conservative discrete ordinate method and implicit implementation are incorporated. Meanwhile, a local mesh refinement technique in the velocity space is developed. The parallel strategies include MPI and OpenMP. Test cases include a wedge, a cylinder, a 2D blunt cone, a sphere, and a X38-like vehicle. Good agreements with experimental or DSMC results have been achieved.

[1]  Michael Dumbser,et al.  Construction and comparison of parallel implicit kinetic solvers in three spatial dimensions , 2014, J. Comput. Phys..

[2]  Xiangren Geng,et al.  Novel Hybrid Hard Sphere Model for Direct Simulation Monte Carlo Computations , 2018 .

[3]  Kun Xu,et al.  A Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows II: Multi-Dimensional Cases , 2012 .

[4]  Vladimir Titarev,et al.  Conservative numerical methods for model kinetic equations , 2007 .

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

[6]  G. A. Bird.  Application of the direct simulation Monte Carlo method to the full shuttle geometry , 1990 .

[7]  Zhi-Hui Li,et al.  Gas-kinetic numerical studies of three-dimensional complex flows on spacecraft re-entry , 2009, J. Comput. Phys..

[8]  L. Mieussens.  Discrete-Velocity Models and Numerical Schemes for the Boltzmann-BGK Equation in Plane and Axisymmetric Geometries , 2000 .

[9]  Kun Xu,et al.  A unified gas-kinetic scheme for continuum and rarefied flows IV: Full Boltzmann and model equations , 2011, J. Comput. Phys..

[10]  Kun Xu,et al.  A unified gas kinetic scheme with moving mesh and velocity space adaptation , 2012, J. Comput. Phys..

[11]  Kun Xu,et al.  Direct modeling for computational fluid dynamics , 2015 .

[12]  Chengwen Zhong,et al.  Implicit unified gas-kinetic scheme for steady state solutions in all flow regimes , 2016, J. Comput. Phys..

[13]  C. Baranger,et al.  Locally refined discrete velocity grids for stationary rarefied flow simulations , 2013, J. Comput. Phys..

[14]  Shiyi Li,et al.  A unified gas-kinetic scheme for axisymmetric flow in all Knudsen number regimes , 2018, J. Comput. Phys..

[15]  Mikhail S. Ivanov,et al.  COMPUTATIONAL HYPERSONIC RAREFIED FLOWS , 1998 .

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

[17]  Graham V. Candler,et al.  Predicting failure of the continuum fluid equations in transitional hypersonic flows , 1994 .

[18]  G. Pham-Van-diep,et al.  Nonequilibrium Molecular Motion in a Hypersonic Shock Wave , 1989, Science.

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

[20]  Chang Liu,et al.  A unified gas-kinetic scheme for continuum and rarefied flows,direct modeling,and full Boltzmann collision term , 2014 .

[21]  E. M. Shakhov.  Generalization of the Krook kinetic relaxation equation , 1968 .

[22]  P. Bhatnagar,et al.  A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems , 1954 .

[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]  W. Steckelmacher.  Molecular gas dynamics and the direct simulation of gas flows , 1996 .

[26]  Thomas Scanlon,et al.  An open source, parallel DSMC code for rarefied gas flows in arbitrary geometries , 2010 .

[27]  V. A. Rykov,et al.  A model kinetic equation for a gas with rotational degrees of freedom , 1975 .

[28]  Zhi-Hui Li,et al.  Implicit gas-kinetic unified algorithm based on multi-block docking grid for multi-body reentry flows covering all flow regimes , 2016, J. Comput. Phys..

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

[30]  Natalia Gimelshein,et al.  Assessment of Translational Anisotropy in Rarefied Flows Using Kinetic Approaches , 2009 .