Coupled level-set lattice Boltzmann method on adaptive Cartesian grids

Computers & Fluids, vol. 321, pp. 107297

Abstract

A novel two-fluid coupled level-set lattice Boltzmann method on adaptive Cartesian grids for simulating liquid-gas multiphase flows is presented. The approach addresses the inherent challenges of accurately modeling multiphase systems characterized by sharp interfaces and large density ratios. In this method separate solution algorithms are used for each fluid phase, which are coupled through boundary conditions at the interface. We demonstrate the method’s ability to handle large density and viscosity ratios and enhanced efficiency compared to approaches utilizing a uniform solution method. The study highlights the advantages of using lattice Boltzmann methods combined with level-set techniques to efficiently track interfaces while facilitating adaptive mesh refinement on a joint hierarchical Cartesian mesh. Applications to various test cases, e.g., immiscible stratified flow and rising bubbles, demonstrate the method’s capability to accurately capture the dynamics of the interface and validate its accuracy by comparson with literature data.

Authors 5

1. Julian Vorspohl corresponding

   Dynamic Research (United States)

   Affiliation as printed

   Institute of Aerodynamics and Chair of Fluid Dynamics, Wüllnerstraße 5a, Aachen, Germany

2. Yuxing Peng

   Dynamic Research (United States)

   Affiliation as printed

   Institute of Aerodynamics and Chair of Fluid Dynamics, Wüllnerstraße 5a, Aachen, Germany

3. Matthias Meinke Aachen

   Forschungszentrum Jülich · German Research School for Simulation Sciences · Dynamic Research (United States) · Jülich Aachen Research Alliance · FH Aachen

   Affiliation as printed

   Forschungszentrum Jülich, Jülich, Germany

   Institute of Aerodynamics and Chair of Fluid Dynamics, Wüllnerstraße 5a, Aachen, Germany

   Jülich Aachen Research Center for Simulation and Data Science, RWTH Aachen University, Jülich, Germany

4. Dominik J. Krug

   Dynamic Research (United States)

   Affiliation as printed

   Institute of Aerodynamics and Chair of Fluid Dynamics, Wüllnerstraße 5a, Aachen, Germany

5. Wolfgang Schröder Aachen

   Forschungszentrum Jülich · German Research School for Simulation Sciences · Dynamic Research (United States) · Jülich Aachen Research Alliance · FH Aachen

   Affiliation as printed

   Forschungszentrum Jülich, Jülich, Germany

   Institute of Aerodynamics and Chair of Fluid Dynamics, Wüllnerstraße 5a, Aachen, Germany

   Jülich Aachen Research Center for Simulation and Data Science, RWTH Aachen University, Jülich, Germany