Validation of a Hybrid Navier-Stokes/DSMC Method for Multiscale Transient and Steady-State Gas Flows

We have validated a hybrid Navier‐Stokes direct simulation Monte Carlo (DSMC) method for the multiscale simulation of compressible, viscous gas flows in both transient and steady state. The continuum domain is described by the unsteady Navier-Stokes equations, solved using a finite volume formulation in compressible form. The molecular domain is solved by the DSMC method. The coupling procedure is an overlapped Schwarz method with Dirichlet‐Dirichlet boundary conditions. The validation was performed successfully against both DSMC numerical results and experimental data.

[1]  Alejandro L. Garcia,et al.  Adaptive Mesh and Algorithm Refinement Using Direct Simulation Monte Carlo , 1999 .

[2]  O. Aktas,et al.  A Combined Continuum/DSMC Technique for Multiscale Analysis of Microfluidic Filters , 2002 .

[3]  David B. Goldstein,et al.  Hybrid Euler/Direct Simulation Monte Carlo Calculation of Unsteady Slit Flow , 2000 .

[4]  Berni J. Alder.  Highly discretized dynamics , 1997 .

[5]  Patrick Le Tallec,et al.  Coupling Boltzmann and Navier-Stokes Equations by Half Fluxes , 1997 .

[6]  D. Baganoff,et al.  Kinetic Flux-Vector Splitting for the Navier-Stokes Equations , 1997 .

[7]  Iain D. Boyd,et al.  Continuum breakdown in hypersonic viscous flows , 2002 .

[8]  Thomas E. Schwartzentruber,et al.  A hybrid particle-continuum method applied to shock waves , 2006, J. Comput. Phys..

[9]  M C M van de Sanden,et al.  Deposition of a-Si:H and a-C:H using an expanding thermal arc plasma , 1996 .

[10]  Dc Daan Schram,et al.  Flow dynamics and invasion by background gas of a supersonically expanding thermal plasma , 2001 .

[11]  Dc Daan Schram,et al.  Stationary supersonic plasma expansion: continuum fluid mechanics versus direct simulation Monte Carlo method , 2002 .

[12]  Gary C. Cheng,et al.  Development and verification of a coupled DSMC-NS scheme using unstructured mesh , 2006, J. Comput. Phys..

[13]  Sū Yùhóng,et al.  Analytical modeling of rarefied Poiseuille flow in microchannels , 2004 .

[14]  Iain D. Boyd,et al.  3D Simulation of Plume Flows from a Cluster of Plasma Thrusters , 2005 .

[15]  Thomas E. Schwartzentruber,et al.  Hybrid Particle-Continuum Simulations of Nonequilibrium Hypersonic Blunt-Body Flowfields , 2006 .

[16]  Alejandro L. Garcia,et al.  Generation of the Chapman-Enskog Distribution , 1998 .

[17]  H. S. Wijesinghe,et al.  Discussion of Hybrid Atomistic-Continuum Methods for Multiscale Hydrodynamics , 2004 .

[18]  D. Baganoff,et al.  A Numerical Study Comparing Kinetic Flux-Vector Splitting for the Navier-Stokes Equations with a Particle Method , 1998 .

[19]  R. Nance,et al.  Role of Boundary Conditions in Monte Carlo Simulation of Microelectromechanical Systems , 1998 .