A low diffusion particle method for simulating compressible inviscid flows

Burt, Jonathan M.; Boyd, Iain D.

doi:10.1016/j.jcp.2008.01.020

Cited by 44 publications

(6 citation statements)

References 20 publications

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“…Once these properties have been determined for all cells during the current time step, a series of Lagrangian face velocities are computed. Lagrangian cells are superimposed over fixed Eulerian cells, with identical face locations at the beginning of the time step [4,5,6]. Particle positions remain fixed relative to their corresponding cell boundaries and are thus moved along with their corresponding Lagrangian cell during each time step.…”

Section: Methodsmentioning

confidence: 99%

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All-Particle Multiscale Computation of Hypersonic Rarefied Flow

Jun¹,

Burt²,

Boyd³

2011

AIP Conference Proceedings

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This study examines a new hybrid particle scheme used as an alternative means of multiscale flow simulation. The hybrid particle scheme employs the direct simulation Monte Carlo (DSMC) method in rarefied flow regions and the low diffusion (LD) particle method in continuum flow regions. The numerical procedures of the low diffusion particle method are implemented within an existing DSMC algorithm. The performance of the LD-DSMC approach is assessed by studying Mach 10 nitrogen flow over a sphere with a global Knudsen number of 0.002. The hybrid scheme results show good overall agreement with results from standard DSMC and CFD computation. Subcell procedures are utilized to improve computational efficiency and reduce sensitivity to DSMC cell size in the hybrid scheme. This makes it possible to perform the LD-DSMC simulation on a much coarser mesh that leads to a significant reduction in computation time.

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Section: Methodsmentioning

confidence: 99%

“…In the present study, the new Low Diffusion (LD) continuum particle method is used as an alternative means of low Knudsen number gas flow simulation [4,5,6]. In the LD-DSMC hybrid method, numerical diffusion errors, as well as effects of statistical scatter, are generally far smaller than in other equilibrium particle methods.…”

Section: Introductionmentioning

confidence: 99%

All-Particle Multiscale Computation of Hypersonic Rarefied Flow

Jun¹,

Burt²,

Boyd³

2011

AIP Conference Proceedings

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“…Such a hybridisation becomes challenging because of the fluctuating boundary conditions for the Navier-Stokes solver, caused by the stochastic nature of the DSMC algorithm. Another solution is, to couple DSMC with particle methods, which are feasible to describe the particle motion without modelling particle collisions [6,7,8]. An example for such a particle model is the kinetic Fokker-Planck model.…”

Section: Introductionmentioning

confidence: 99%

Non-equilibrium parameter for a hybrid Fokker-Planck/DSMC scheme

Hepp

Grabe

Hannemann

2019

31st International Symposium on Rarefied Gas Dynamics: Rgd31

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In this work we investigate the kinetic Fokker-Planck (FP) model [1, 2] concerning its applicability to simulate hypersonic, rarefied gas flow. As in the direct simulation Monte Carlo (DSMC) algorithm, the FP model simulates the stochastic motion of a set of particles through the computational domain which results in a simple coupling of both methods. No collisions must be calculated in the FP approach and so larger cell and time step sizes than by DSMC calculations can be used. Because of this, the FP model holds the potential to be more efficient than DSMC where the Knudsen number is small. Further we present and investigate a hybridisation scheme for the FP and DSMC algorithms. We derive a non-equilibrium parameter from the Fokker-Planck-and Boltzmann-operator which indicates the validity of the FP model. In hybrid simulations this parameter is used to partition the computational domain in DSMC and FP regions. The particle motion is processed similarly in both regions, only the procedure for assigning new particle velocities differs. To achieve an equal number of particles per cell, weighting factors depended on the cell size are used. The hybridisation scheme is tested for one-dimensional shock and two-dimensional cylinder flows and gives results in agreement to pure DSMC simulations. An efficiency study shows, that the hybrid scheme is roughly five times faster than a pure DSMC simulation for a hypersonic cylinder flow test case.

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“…A variety of different methods were introduced in the past, e.g. the Time Relaxed Monte Carlo method 2 , the Viscous Collision Limiter method 3 , the Fokker-Planck solution algorithm 4,5 , the low diffusion method 6,7 and more. A short overview with advantages and disadvantages of these methods is given in Mirza et al 7 .…”

Section: Introductionmentioning

confidence: 99%