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Boundary conditions for multi-speed Lattice Boltzmann methods / Autor: Friedemann Klaß. Wuppertal, März 2024
Content
Abstract
Acknowledgements
List of Abbreviations
List of Symbols
Introduction
Theory of the Lattice Boltzmann Method
Models for fluid flow
Microscopic approach
Macroscopic approach
Mesoscopic approach
The Boltzmann Equation
The particle distribution function and its moments
Collision operators
Macroscopic limit of the Boltzmann equation
From Boltzmann to Lattice Boltzmann
Hermite expansion
Discretization of velocity space
The Lattice Boltzmann Method
Lattice Construction
Boundary Conditions
Wall BC for multi-speed LBM
Existing multi-speed BC
Equilibrium BC
Non-Equilibrium Extrapolation BC
Regularized BC
Diffusive BC
Isothermal on-Site velocity BC
Thermal Non-Equilibrium Bounce-Back Boundary Condition
Numerical Results
Thermal Poiseuille flow
Thermal Couette flow
Rayleigh-Bénard convection
Lid driven cavity flow
Non-Reflecting Boundary Conditions
Discrete Artificial Boundary Condition
Characteristic BC
Characteristic Analysis
Choices for incoming wave amplitudes
Realization of characteristic BC in the LBM
Perfectly Matched Layers
Numerical Results
Isothermal Flow: Density Step
Thermal Flow: Temperature Step
2D Vortex propagation
Angular wave
Vortex Shedding
Summary and Outlook
Bibliography