首页|The least-square/fictitious domain method based on Navier slip boundary condition for simulation of flow-particle interaction
The least-square/fictitious domain method based on Navier slip boundary condition for simulation of flow-particle interaction
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NSTL
Elsevier
In this article, we develop a least-squares/fictitious domain method for direct simulation of fluid particle motion with Navier slip boundary condition at the fluid-particle interface. Let Omega and B be two bounded domains of R-d such that B subset of Omega. The motion of solid particle B is governed by Newton's equations. Our goal here is to develop a fictitious domain method where one solves a variant of the original problem on the full Omega, followed by a well-chosen correction over B and corrections related to translation velocity and angular velocity of the particle. This method is of the virtual control type and relies on a least-squares formulation making the problem solvable by a conjugate gradient algorithm operating in a well chosen control space. Since the fully explicit scheme to update the particle motion using Newton's equation is unstable, we propose and implement an explicit-implicit scheme in which, at each time step, the position of the particle is updated explicitly, and the solution of Navier-Stokes equations and particle velocities are solved by the the least-squares/fictitious domain method implicitly. Numerical results are given to verify our numerical method. (C) 2021 Elsevier Inc. All rights reserved.
NSTL
Elsevier
