1. BOUNDARY CONDITIONS FOR KINETIC THEORY BASED MODELS I: LATTICE BOLTZMANN MODELS.
- Author
-
WEIFENG ZHAO, JUNTAO HUANG, and WEN-AN YONG
- Subjects
- *
MODEL theory , *THREE-dimensional flow , *LATTICE models (Statistical physics) - Abstract
This paper opens a series of papers focusing on boundary conditions for kinetic theory based models. As a start, we consider the lattice Boltzmann models and construct certain parametrized single-node second-order boundary schemes. For such models, the construction is quite universal and simple, it does not involve concrete collision terms but uses the half-way bounce-back rule as a central step. The obtained schemes have good stability thanks to convex combinations. The second-order accuracy of the schemes is justified for some widely used collision terms. As a byproduct, we propose a sufficient condition on the collision terms to ensure the second-order accuracy of the half-way bounce-back rule. The accuracy and stability of several specific schemes are numerically validated through both two- and three-dimensional flow problems. [ABSTRACT FROM AUTHOR]
- Published
- 2019
- Full Text
- View/download PDF