Klaß, Friedemann: Boundary conditions for multi-speed Lattice Boltzmann methods. Wuppertal, 2024
Inhalt
- Abstract
- Acknowledgements
- List of Abbreviations
- List of Symbols
- Introduction
- Theory of the Lattice Boltzmann Method
- Models for fluid flow
- The Boltzmann Equation
- The particle distribution function and its moments
- Collision operators
- Macroscopic limit of the Boltzmann equation
- From Boltzmann to Lattice Boltzmann
- The Lattice Boltzmann Method
- 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
- 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
- Summary and Outlook
- Bibliography