Document Type : Research Note
Authors
1
- Heat Transfer Research Group, Department of Mechanical Engineering, Sao Carlos School of Engineering, University of Sao Paulo, Trabalhador Sao-carlense Avenue, 400, 13566-590, Sao Carlos, SP, Brazil - Lattice Boltzmann Research Group, Department of Mathematics, Karlsruhe Institute of Technology, Building 20.30, Englerstrabe 2, 76131, Karlsruhe, Baden-Wurttemberg, Germany
2
Center of Innovation for Flow Through Porous Media, University of Wyoming, 651 N 19th St, Laramie, WY, 82072, United States
3
Heat Transfer Research Group, Department of Mechanical Engineering, Sao Carlos School of Engineering, University of Sao Paulo, Trabalhador Sao-carlense Avenue, 400, 13566-590, Sao Carlos, SP, Brazil
10.24200/sci.2024.63936.8662
Abstract
The pseudopotential method has grown as a powerful tool for multiphase fluid flow simulations within the lattice Boltzmann method framework. We consider that due to its simplicity and computational efficiency, the pseudopotential method could be explored also inside the framework of more traditional Computational Fluid Dynamic methods such as Finite Difference, Finite Volume or Finite Element methods. Following this idea, in this work we start from the macroscopic equations resulting from the pseudopotential lattice Boltzmann method and discretize it by a simple Finite Difference scheme. This pseudopotential based finite difference method is then tested in different benchmark problems such as a planar interface, a smooth droplet oscillation, and a single droplet evaporation. Excellent results were obtained in all tests. One of the advantages of the proposed method is that mesh refinement is straightforward, and converged solutions can be used as a tool of validation for the lattice Boltzmann method. Results indicate that the pseudopotential method is suitable to be used with standard discretization methods such as Finite Difference and that in future works more robust discretizations can be used to further enhance the pseudopotential method application.
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