Titlebook: Lattice Boltzmann Methods for Shallow Water Flows; Jian Guo Zhou Book 2004 Springer-Verlag Berlin Heidelberg 2004 environment.flow turbule

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t, flexible to simulate different flows within complex/varying geome- tries. It is evolved from the lattice gas automata (LGA) in order to overcome the difficulties with the LGA. The core equation in the LBM turns out to be a special discrete form of the continuum Boltzmann equation, leading it to b

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Introduction,iven. This includes the origin of the lattice Boltzmann method, its advantages and the purpose of the book. Chapter 2 describes the governing equations for general fluid flows and subgrid-scale stress model for turbulence modelling. Based on these, the shallow water equations are derived in detail.

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Lattice Boltzmann Method,sists of three basic tasks: lattice Boltzmann equation, lattice pattern and local equilibrium distribution function. The former two are standard, which is the same for fluid flows. The latter determines what flow equations are solved by the lattice Boltzmann model, which is often derived for certain

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Boundary and Initial Conditions, 5, respectively. The centred scheme for accurate evaluation of the force term in the lattice Boltzmann equation is described in Chapter 4. In order to solve shallow water flow problems by use of either LABSWE or LABSWE., suitable boundary conditions must be provided. Therefore, this chapter firstly

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Introduction,ture of the scheme is analyzed and compared with available schemes. Also, the . (.-property) as a basic criterion for a numerical scheme is introduced. Chapter 5 describes a lattice Boltzmann model for the shallow water equations with turbulence modelling (LABSWE.) by incorporating the subgrid-scale