Connection Between the Lattice Boltzmann Equation and the Beam Scheme
نویسندگان
چکیده
In this papcr we analyze and compare the lattice Boltzmann equation with the beam scheme in details. We notice the similarity and differences between the lattice Boltzmann equation and the beam scheme. We show that the accuracy of the lattice Boltzmann equation is indeed second order in space. We discuss the advantages and limitations of lattice Boltzmann equation and the beam scheme. Based on our analysis, we propose an improved multi-dimensional beam scheme. Key words, kinetic theory, hydrodynamics, lattice Boltzmann mcthod, beam scheme, Euler and NavierStokes equations. Subject classification. Fluid Mechanics
منابع مشابه
Connection between Lattice-boltzmann Equation and Beam Scheme∗
In this paper we analyze and compare the lattice-Boltzmann equation with the beam scheme in detail. We notice the similarity and differences between the lattice Boltzmann equation and the beam scheme. We show that the accuracy of the lattice-Boltzmann equation is indeed second order in space. We discuss the advantages and limitations of the lattice-Boltzmann equation and the beam scheme. Based ...
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