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Entropic Lattice Boltzmann Models for Fluid Dynamics PDF

201 Pages·2017·27.8371 MB·other
by  BöschFabian
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by Bösch, Fabian| 2017| 201 pages| 27.8371| other

About Entropic Lattice Boltzmann Models for Fluid Dynamics

The main result of this thesis is the development of a new class of entropic MRT models which combine the salient advantages from MRT and ELBM while trying to circumvent their respective disadvantages. J.W. Gibbs’ seminal prescription for constructing optimal states by maximizing the entropy under pertinent constraints is used to derive a novel lattice kinetic theory and the the notion of modifying the viscosity to stabilize sub-grid simulations is challenged in this kinetic framework. By exploiting the degrees of freedom of MRT and by compliance to the discrete-time H-theorem, the advantages of both MRT and ELBMcan be retained and the problems of parameter tuning and fluctuating viscosity can be solved. The resulting models are accurate, adaptive, parameter-free, efficient and, more importantly, very stable.

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Author:Bösch, Fabian
Publication Year:2017
Pages:201
Language:other
File Size:27.8371
Format:PDF
Price:FREE
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