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101,044
A Unified Gaskinetic Scheme for Continuum and Rarefied Flows
"... With discretized particle velocity space, a unified gaskinetic scheme for entire Knudsen number flows is constructed based on the BGK model. In comparison with many existing kinetic schemes for the Boltzmann equation, the current method has no difficulty to get accurate solution in the continuum fl ..."
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With discretized particle velocity space, a unified gaskinetic scheme for entire Knudsen number flows is constructed based on the BGK model. In comparison with many existing kinetic schemes for the Boltzmann equation, the current method has no difficulty to get accurate solution in the continuum
A Modified GasKinetic Scheme for Turbulent Flow
"... Abstract. By analogy with the kinetic theory of gases, most turbulence modeling strategies rely on an eddy viscosity to model the unresolved turbulent fluctuations. However, the ratio of unresolved to resolved scales very much like a degree of rarefaction is not taken into account by the popular ..."
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by the popular conventional schemes, based on the NavierStokes equations. This paper investigates the simulation of turbulent flow with a gaskinetic scheme. In so doing, the modeling of turbulence becomes part of the numerical scheme: the degree of rarefaction is automatically taken into account; the turbulent
GasKinetic Relaxation (BGKType) Schemes for the Compressible Euler Equations
"... Starting from the gaskinetic model, a new class of relaxation schemes for the Euler equations are presented. Instead of linerizing the Euler equations into a few simple waves, the new flow solvers are based on the BGK model for the evolution of particle distribution functions, i.e. a nonequilibrium ..."
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Cited by 1 (1 self)
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Starting from the gaskinetic model, a new class of relaxation schemes for the Euler equations are presented. Instead of linerizing the Euler equations into a few simple waves, the new flow solvers are based on the BGK model for the evolution of particle distribution functions, i.e. a
Gaskinetic derivation of NavierStokeslike traffic equations
 Physical Review E
, 1996
"... Macroscopic traffic models have recently been severely criticized to base on lax analogies only and to have a number of deficiencies. Therefore, this paper shows how to construct a logically consistent fluiddynamic traffic model from basic laws for the acceleration and interaction of vehicles. Thes ..."
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Cited by 27 (3 self)
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. These considerations lead to the gaskinetic traffic equation of PaveriFontana. Its stationary and spatially homogeneous solution implies equilibrium relations for the ‘fundamental diagram’, the variancedensity relation, and other quantities which are partly difficult to determine empirically. Paveri
Solving the Boltzmann equation on GPU’s
"... We present algorithms specifically tailored for solving kinetic equations onto graphics processing units. Unlike particle methods, the proposed methods of solution are ideally suited for solving the unsteady low speed flows which typically occur in MEMS containing oscillating components. The efficie ..."
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We present algorithms specifically tailored for solving kinetic equations onto graphics processing units. Unlike particle methods, the proposed methods of solution are ideally suited for solving the unsteady low speed flows which typically occur in MEMS containing oscillating components
A New Consistent DiscreteVelocity Model for the Boltzmann Equation
"... MOS subject classification: 82C40 (76P05, 82C80, 65C20) This paper discusses the convergence of a new discretevelocity model to the Boltzmann equation. First the consistency of the collision integral approximation is proved. Based on this we prove the convergence of solutions for a modified model t ..."
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MOS subject classification: 82C40 (76P05, 82C80, 65C20) This paper discusses the convergence of a new discretevelocity model to the Boltzmann equation. First the consistency of the collision integral approximation is proved. Based on this we prove the convergence of solutions for a modified model
A New Consistent DiscreteVelocity Model for the Boltzmann Equation
"... This paper discusses the convergence of a new discretevelocity model to the Boltzmann equation. First the consistency of the collision integral approximation is proved. Based on this we prove the convergence of solutions for a modied model to DiPernaLions solutions of the Boltzmann equation. As a ..."
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Cited by 16 (0 self)
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This paper discusses the convergence of a new discretevelocity model to the Boltzmann equation. First the consistency of the collision integral approximation is proved. Based on this we prove the convergence of solutions for a modied model to DiPernaLions solutions of the Boltzmann equation. As a
Results 1  10
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101,044