Analytical solution of plane Couette flow in the transition regime and comparison with Direct Simulation Monte Carlo data

2014 ◽  
Vol 97 ◽  
pp. 177-187 ◽  
Author(s):  
Narendra Singh ◽  
Abhimanyu Gavasane ◽  
Amit Agrawal
Keyword(s):  
Monte Carlo ◽  
Analytical Solution ◽  
Couette Flow ◽  
Direct Simulation Monte Carlo ◽  
Transition Regime ◽  
Direct Simulation ◽  
Plane Couette Flow ◽  
Monte Carlo Data ◽  
Simulation Monte Carlo

Direct Simulation Monte Carlo Calculations of Three Dimensional Non-Continuum Gas Flows

2002 ◽  
Author(s):  
Fang Yan ◽  
Bakhtier Farouk ◽  
Jeremy Johnson
Keyword(s):  
Monte Carlo ◽  
Couette Flow ◽  
Three Dimensional ◽  
Direct Simulation Monte Carlo ◽  
Particle Removal ◽  
Direct Simulation ◽  
Transition Flow ◽  
Multiprocessor Computer ◽  
Wide Range ◽  
Simulation Monte Carlo

This paper describes the parallel implementation of a three-dimensional direct simulation Monte Carlo (DSMC) code using the OpenMP procedure on a shared memory multiprocessor computer. A dynamic domain decomposition is performed to maintain load balance among the threads. Performance tests are conducted to evaluate the effect of granularity on efficiency. It is shown that the parallel performance is dependent on the problem size. For larger-scale problems, better efficiency can be expected. Synchronization overhead due to data contention is reduced by re-arranging particle removal procedure. The parallel code is used to simulate flow through a rectangular channel with a high-speed moving wall (Couette flow). For high Knudsen (Kn) numbers, the Couette flow characteristics are found to be very different from their continuum counterparts. ‘Ultimate pressures’ are calculated for a wide range of Kn number flows. The variation of the ultimate pressure with Kn number is computed for given wall speed. Maximum compression ratio is obtained in the transition flow region.

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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