Comparison of Navier-Stokes and Direct Simulation Monte Carlo Predictions with Separation

AIAA Journal ◽  
2007 ◽  
Vol 45 (8) ◽  
pp. 2102-2106 ◽  
Author(s):  
George R. Inger ◽  
James N. Moss
Keyword(s):  
Monte Carlo ◽  
Direct Simulation Monte Carlo ◽  
Navier Stokes ◽  
Direct Simulation ◽  
Simulation Monte Carlo

Development of Object-Oriented Direct Simulation Monte Carlo Code for Modeling of Rarefied Flow around Geometries of Arbitrary Shapes

2011 ◽  
Vol 110-116 ◽  
pp. 2491-2496
Author(s):  
Sourabh Jain ◽  
Prabhu Ramachandran
Keyword(s):  
Monte Carlo ◽  
Heat Conduction Problem ◽  
Direct Simulation Monte Carlo ◽  
Object Oriented ◽  
Navier Stokes ◽  
Monte Carlo Code ◽  
Direct Simulation ◽  
Rarefied Flow ◽  
Simulation Monte Carlo ◽  
Arbitrary Shapes

Rarefied flows cannot be accurately simulated using Navier-Stokes (N-S) equations. The Direct Simulation Monte-Carlo (DSMC) technique is a particle based method for accurate simulation of flows under such conditions. A DSMC code is developed using an object-oriented (OO) approach which can simulate flows around arbitrary shapes. Hence, the flux from such boundaries can be correctly predicted. The object-oriented approach enables for easy modification of the code. For example, it is easy to use different collision models to implement different relaxation algorithm. The code is validated for the one-dimensional Fourier heat conduction problem. Results for the development of a shock due to supersonic flow over a 15 degree wedge are also presented. Inclined boundary of the wedge is correctly captured as the particles interact with the the exact shape of the boundary. Shock angle is found more than expected due to rarefaction effects.

scholarly journals Navier-Stokes and Direct Simulation Monte Carlo Predictions for Laminar Hypersonic Separation

AIAA Journal ◽  
2003 ◽  
Vol 41 (6) ◽  
pp. 1055-1063 ◽  
Author(s):  
Christopher J. Roy ◽  
Michael A. Gallis ◽  
Timothy J. Bartel ◽  
Jeffrey L. Payne
Keyword(s):  
Monte Carlo ◽  
Direct Simulation Monte Carlo ◽  
Navier Stokes ◽  
Direct Simulation ◽  
Simulation Monte Carlo

Direct simulation Monte Carlo and Navier-Stokes simulations of blunt body wake flows

AIAA Journal ◽  
1994 ◽  
Vol 32 (7) ◽  
pp. 1399-1406 ◽  
Author(s):  
James N. Moss ◽  
Robert A. Mitcheltree ◽  
Virendra K. Dogra ◽  
Richard G. Wilmoth
Keyword(s):  
Monte Carlo ◽  
Blunt Body ◽  
Direct Simulation Monte Carlo ◽  
Navier Stokes ◽  
Direct Simulation ◽  
Wake Flows ◽  
Simulation Monte Carlo

scholarly journals Lattice Boltzmann accelerated direct simulation Monte Carlo for dilute gas flow simulations

2016 ◽  
Vol 374 (2080) ◽  
pp. 20160226 ◽  
Author(s):  
G. Di Staso ◽  
H. J. H. Clercx ◽  
S. Succi ◽  
F. Toschi
Keyword(s):  
Monte Carlo ◽  
Lattice Boltzmann ◽  
Gas Flow ◽  
Direct Simulation Monte Carlo ◽  
Bulk Flow ◽  
Navier Stokes ◽  
Direct Simulation ◽  
Dilute Gas ◽  
Simulation Monte Carlo ◽  
Non Equilibrium

Hybrid particle–continuum computational frameworks permit the simulation of gas flows by locally adjusting the resolution to the degree of non-equilibrium displayed by the flow in different regions of space and time. In this work, we present a new scheme that couples the direct simulation Monte Carlo (DSMC) with the lattice Boltzmann (LB) method in the limit of isothermal flows. The former handles strong non-equilibrium effects, as they typically occur in the vicinity of solid boundaries, whereas the latter is in charge of the bulk flow, where non-equilibrium can be dealt with perturbatively, i.e. according to Navier–Stokes hydrodynamics. The proposed concurrent multiscale method is applied to the dilute gas Couette flow, showing major computational gains when compared with the full DSMC scenarios. In addition, it is shown that the coupling with LB in the bulk flow can speed up the DSMC treatment of the Knudsen layer with respect to the full DSMC case. In other words, LB acts as a DSMC accelerator. This article is part of the themed issue ‘Multiscale modelling at the physics–chemistry–biology interface’.

Numerical Methods for the Kinetic Theory of Fluids

2018 ◽  
Author(s):  
Sauro Succi
Keyword(s):  
Molecular Dynamics ◽  
Monte Carlo ◽  
Numerical Methods ◽  
Kinetic Theory ◽  
Computational Efficiency ◽  
Lattice Boltzmann ◽  
Direct Simulation Monte Carlo ◽  
Particle Methods ◽  
Direct Simulation ◽  
Simulation Monte Carlo

This chapter provides a bird’s eye view of the main numerical particle methods used in the kinetic theory of fluids, the main purpose being of locating Lattice Boltzmann in the broader context of computational kinetic theory. The leading numerical methods for dense and rarified fluids are Molecular Dynamics (MD) and Direct Simulation Monte Carlo (DSMC), respectively. These methods date of the mid 50s and 60s, respectively, and, ever since, they have undergone a series of impressive developments and refinements which have turned them in major tools of investigation, discovery and design. However, they are both very demanding on computational grounds, which motivates a ceaseless demand for new and improved variants aimed at enhancing their computational efficiency without losing physical fidelity and vice versa, enhance their physical fidelity without compromising computational viability.

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