The least–square/fictitious domain method based on Navier slip boundary condition for simulation of flow–particle interaction

Rong Zhang and Qiaolin He

Applied Mathematics and Computation, 2022, vol. 415, issue C

Abstract: 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 Ω and B be two bounded domains of Rd such that B¯⊂Ω. 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 Ω, 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.

Keywords: Least–squares; Fictitious domain method; Incompressible viscous flow; Navier slip boundary condition (search for similar items in EconPapers)
Date: 2022
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300321007712
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:415:y:2022:i:c:s0096300321007712

DOI: 10.1016/j.amc.2021.126687

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().