期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 471, 期 -, 页码 -出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2022.111626
关键词
Boussinesq theory; Completed Boussinesq theory; Interfacial flow; Navier-Stokes; Rayleigh-Taylor
A novel technique is presented for solving flow problems of viscous multi-fluid systems with interfaces, utilizing exact Navier-Stokes equations and a Boussinesq-type approach. The technique is illustrated through a case study of classical Rayleigh-Taylor flow and compared with other models, showing strong support for its effectiveness.
We present a novel technique for solving for the flow of a viscous multi-fluid system in which interfaces are present. The Navier-Stokes equations are used in their exact form, without the need for phase-field approximations. A Boussinesq-type approach is invoked, in which the component fluids of differing densities are represented by a single fluid in which the density changes smoothly but rapidly across each narrow interfacial zone. This formulation is illustrated in detail for classical planar Rayleigh-Taylor flow containing two horizontal layers of fluid, in which the upper fluid has greater density. The interface be-tween the fluids is therefore unstable and overturns as time progresses. The results of this new approach are compared against the predictions of classical Boussinesq theory and a recent Extended Boussinesq model proposed by the authors. Finally, a comparison with the predictions of a smoothed-particle-hydrodynamics model gives strong support for this new technique.(c) 2022 Elsevier Inc. All rights reserved.
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