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Sun, 25 Jun 2000 00:00:00 +0200Sun, 25 Jun 2000 00:00:00 +0200A steady-state particle method for the Boltzmann equation
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/624
We present a particle method for the numerical simulation of boundary value problems for the steady-state Boltzmann equation. Referring to some recent results concerning steady-state schemes, the current approach may be used for multi-dimensional problems, where the collision scattering kernel is not restricted to Maxwellian molecules. The efficiency of the new approach is demonstrated by some numerical results obtained from simulations for the (two-dimensional) BEnard's instability in a rarefied gas flow.Jens Struckmeierpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/624Sun, 25 Jun 2000 00:00:00 +0200Note: Alternative Discretization Schemes in Lattice Boltzmann Methods
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/639
Jens Struckmeierpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/639Sun, 25 Jun 2000 00:00:00 +0200The Rayleigh-Benard Convection in Rarefied Gases
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/629
In the present paper we investigate the Rayleigh-Benard convection in rarefied gases and demonstrate by numerical experiments the transition from purely thermal conduction to a natural convective flow for a large range of Knudsen numbers from 0.02 downto 0.001. We address to the problem how the critical value for the Rayleigh number defined for incompressible vsicous flows may be translated to rarefied gas flows. Moreover, the simulations obtained for a Knudsen number Kn=0.001 and Froude number Fr=1 show a further transition from regular Rayleigh-Benard cells to a pure unsteady behavious with moving vortices.Carlo Cercignani; Maria Cristina Giurin; Jens Struckmeierpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/629Mon, 03 Apr 2000 00:00:00 +0200A Finite - Volume Particle Method for CompressibleFlows
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/739
We derive a new class of particle methods for conservation laws, which are based on numerical flux functions to model the interactions between moving particles. The derivation is similar to that of classical Finite-Volume methods; except that the fixed grid structure in the Finite-Volume method is substituted by so-called mass packets of particles. We give some numerical results on a shock wave solution for Burgers equation as well as the well-known one-dimensional shock tube problem.Dietmar Hietel; Konrad Steiner; Jens Struckmeierpreprinthttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/739Mon, 03 Apr 2000 00:00:00 +0200