Part I Background: Basics of hydrodynamics and kinetic theory.- Numerical methods for fluids.- Part II Lattice Boltzmann fundamentals: The lattice Boltzmann equation.- Analysis of the lattice Boltzmann equation.- Boundary and initial conditions.- Forces.- Non-dimensionalisation and choice of simulation parameters.- Part III Lattice Boltzmann extensions, improvements, and details: Lattice-Boltzmann for advection-diffusion-problems.- Multiphase and multi-component flows.- MRT and TRT collision operators.- Boundary conditions for fluid-structure interaction.- Sound waves.- Part IV Numerical implementation of the lattice Boltzmann method: Implementation of LB Simulations.- Appendices.
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