6533b823fe1ef96bd127f3d7

RESEARCH PRODUCT

Mass-flux-based outlet boundary conditions for the lattice Boltzmann method

Tuomo RossiJari HyväluomaKeijo MattilaKeijo Mattila

subject

Statistics and ProbabilityMathematical analysisMason–Weaver equationBoundary conformal field theoryStatistical and Nonlinear PhysicsDifferent types of boundary conditions in fluid dynamicsSingular boundary methodBoundary knot methodBoundary conditions in CFDFree boundary problemBoundary value problemStatistical physicsStatistics Probability and UncertaintyMathematics

description

We present outlet boundary conditions for the lattice Boltzmann method. These boundary conditions are constructed with a mass-flux-based approach. Conceptually, the mass-flux-based approach provides a mathematical framework from which specific boundary conditions can be derived by enforcing given physical conditions. The object here is, in particular, to explain the mass-flux-based approach. Furthermore, we illustrate, transparently, how boundary conditions can be derived from the emerging mathematical framework. For this purpose, we derive and present explicitly three outlet boundary conditions. By construction, these boundary conditions have an apparent physical interpretation which is further demonstrated with numerical experiments.

yearjournalcountryeditionlanguage
2009-06-18Journal of Statistical Mechanics: Theory and Experiment
https://doi.org/10.1088/1742-5468/2009/06/p06015