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

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Juan P Giovacchini, Omar E Ortiz

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.

References

May 15, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Renwei MeiLi-Shi Luo
Sep 28, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Huabing LiYuehong Qian
Mar 10, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Binghai WenHaiping Fang
Apr 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Siddharth KrithivasanSantosh Ansumali

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Citations

Mar 30, 2019·Journal of Neuroengineering and Rehabilitation·Emilio TrigiliAlessandro Panarese

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