Flow force and torque on submerged bodies in lattice-Boltzmann methods via momentum exchange

Juan P. Giovacchini and Omar E. Ortiz
Phys. Rev. E 92, 063302 – Published 4 December 2015

Abstract

We review the momentum exchange method to compute the flow force and torque on a submerged body in lattice-Boltzmann methods by presenting an alternative derivation. Our derivation does not depend on a particular implementation of the boundary conditions at the body surface, and it relies on general principles. After the introduction of the momentum exchange method in lattice-Boltzmann methods, some formulations were introduced to compute the fluid force on static and moving bodies. These formulations were introduced in a rather intuitive, ad hoc way. In our derivation, we recover the proposals most frequently used, in some cases with minor corrections, gaining some insight into the two most used formulations. At the end, we present some numerical tests to compare different approaches on a well-known benchmark test that support the correctness of the formulas derived.

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  • Received 23 July 2014
  • Revised 22 June 2015

DOI:https://doi.org/10.1103/PhysRevE.92.063302

©2015 American Physical Society

Authors & Affiliations

Juan P. Giovacchini1,2,* and Omar E. Ortiz2,3,†

  • 1Departamento de Mecánica Aeronáutica, Instituto Universitario Aeronáutico, Córdoba, Argentina
  • 2Instituto de Física Enrique Gaviola (CONICET), Córdoba, Argentina
  • 3Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, Argentina

  • *giovacchini@famaf.unc.edu.ar
  • ortiz@famaf.unc.edu.ar

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Vol. 92, Iss. 6 — December 2015

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