Development and verification of a coupled DSMC–NS scheme using unstructured mesh

Wu, Jong-Shinn; Lian, Y. Y.; Cheng, Gary; Koomullil, Roy P.; Tseng, Kuo-Hung

doi:10.1016/j.jcp.2006.04.013

Cited by 73 publications

(48 citation statements)

References 21 publications

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“…On the contrary, Wu and al. [10] and Schwartzentruber and al. [11,12] proposed an 'iterative' coupled CFD-DSMC method where the coupling is achieved through an overlapped Schwarz method with Dirichlet-Dirichlet type boundary conditions.…”

Section: Introductionmentioning

confidence: 90%

“…However, both Wu and al. [10] and Schwartzentruber and al. [11,12] methods are only suitable for gas flow simulations under steady-state conditions, while the method that we propose has been applied both to transient and steadystate gas flow simulations.…”

Section: Introductionmentioning

confidence: 90%

“…This method is suitable only in conditions where Kn < 0.1 and the precise formulation of the slip boundary conditions is strongly geometry dependent. For this reason, several hybrid continuum/molecular models have been proposed, for instance: Molecular Dynamics (MD) and Navier-Stokes (N-S) equations [6], Boltzmann and N-S equations [7], Direct Simulation Monte Carlo (DSMC) and Stokes equations [2], DSMC and incompressible N-S equations [8], and DSMC and N-S equations [9,10,11,12,13].…”

Section: Introductionmentioning

confidence: 99%

“…The coupling of the two models is reached through an overlapped Schwarz method [10] with DirichletDirichlet boundary conditions. It is an adaptative method in which, during the computations, the Kn number with respect to the local gradients is computed to determine and divide the CFD (Computational Fluid Dynamics) domain from the DSMC one.…”

Section: Introductionmentioning

confidence: 99%

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Coupled Navier-Stokes/DSMC Method for Transient and Steady-State Gas Flows

Abbate

Thijsse

Kleijn

2007

Computational Science – ICCS 2007

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Abstract. An adaptatively coupled continuum-DSMC approach for compressible, viscous gas flows has been developed. The continuum domain is described by the unsteady Navier-Stokes equations, solved using a finite volume formulation in compressible form to capture the shock. The molecular domain is solved by the Direct Simulation Monte Carlo method (DSMC). The coupling procedure is an overlapped Schwarz method with Dirichlet-Dirichlet boundary conditions. The domains are determined automatically by computing the Kn number with respect to the local gradients length scale. The method has been applied to simulate a 1-D shock tube problem and a 2-D expanding jet in a low pressure chamber.

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Section: Introductionmentioning

confidence: 90%

Section: Introductionmentioning

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Coupled Navier-Stokes/DSMC Method for Transient and Steady-State Gas Flows

Abbate

Thijsse

Kleijn

2007

Computational Science – ICCS 2007

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“…The multi-scale hybrid coupling approach used is based on the overlapped Schwarz method with Dirichlet-Dirichlet boundary conditions [10] and it consists of two stages.…”

Section: Schwarz Couplingmentioning

confidence: 99%

Multi-scale Modelling of the Two-Dimensional Flow Dynamics in a Stationary Supersonic Hot Gas Expansion

Abbate

Thijsse

Kleijn

2008

Computational Science – ICCS 2008

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Abstract.A stationary hot gas jet supersonically expanding into a low pressure environment is studied through multi-scale numerical simulations.A hybrid continuum-molecular approach is used to model the flow. Due to the low pressure and high thermodynamic gradients, the accuracy of continuum mechanics results are doubtful, while, because of its excessive time expenses, a full molecular method is not feasible. The results of the proposed hybrid continuum-molecular approach have been successfully validated against experimental data.An important question for the full understanding of the processes governing the flow is addressed: the demonstration of an invasion of the supersonic part of the flow by background particles. Through the tracking of particles and collisions in the supersonic region it could be definitively proven that background particles are present in this region. We present a complete two dimensional picture of how the invading background particles distribute and collide with local particles into the supersonic region.

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A hybrid DSMC/Navier–Stokes frame to solve mixed rarefied/nonrarefied hypersonic flows over nano‐plate and micro‐cylinder

Darbandi

Roohi

2013

Numerical Methods in Fluids

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SUMMARYWe extend a hybrid DSMC/Navier–Stokes (NS) approach to unify the DSMC and the NS simulators in one framework capable of solving the mixed non‐equilibrium and near‐equilibrium flow regions efficiently. Furthermore, we use a one‐way state‐based coupling (Dirichlet–Dirichlet boundary‐condition coupling) to transfer the required information from the continuum region to the rarefied one. The current hybrid DSMC–NS frame is applied to the hypersonic flows over nanoflat plate and microcylinder cases. The achieved solutions are compared with the pure DSMC and NS solutions. The results show that the current hybrid approach predicts the surface heat transfer rate and shear stress magnitudes very accurately. Some important conclusions can be drawn from this study. For example, although the shock wave region would be a non‐equilibrium region, it is not necessary to use a pure DSMC simulator to solve it entirely. This is important when the researchers wish to predict the surface properties such as velocity slip, temperature jump, wall heat flux rate, and friction drag magnitudes accurately. Our investigation showed that our hybrid solution time would be at least 40% (for the flat plate) and 35% (for the cylinder) of the time that must be spent by a pure DSMC solver to attain the same accuracy.Copyright © 2013 John Wiley & Sons, Ltd.

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Development and verification of a coupled DSMC–NS scheme using unstructured mesh

Cited by 73 publications

References 21 publications

Coupled Navier-Stokes/DSMC Method for Transient and Steady-State Gas Flows

Coupled Navier-Stokes/DSMC Method for Transient and Steady-State Gas Flows

Multi-scale Modelling of the Two-Dimensional Flow Dynamics in a Stationary Supersonic Hot Gas Expansion

A hybrid DSMC/Navier–Stokes frame to solve mixed rarefied/nonrarefied hypersonic flows over nano‐plate and micro‐cylinder

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