Crank-Nicolson leap-frog time stepping decoupled scheme for the fluid-fluid interaction problems
type: Item
instance of: scholarly article
title: Crank-Nicolson leap-frog time stepping decoupled scheme for the fluid-fluid interaction problems
zbMATH Open document ID: 1447.65088
author: Lingzhi Qian
author: Xinlong Feng
author: Yinnian He
published in: Journal of Scientific Computing
publication date: 2020-08-07T00:00:00Z
review text: A fully discrete Crank-Nicolson leap-frog time-stepping decoupled (CNLFD) scheme is studied for the fluid-fluid interaction problems. The spatial discretization is performed by the finite element method (FEM). The nonlinear interface condition is decoupled using a geometric averaging of the jump. The scheme has some favorable properties such as decoupling large problems, easy implementation of subdomain solvers, parallel computation in decoupled subdomain equations, allowing to use large time steps. The unconditional stability of the scheme is proven and various numerical experiments are performed to illustrate the accuracy and efficiency of the proposed method.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 86A05
zbMATH DE Number: 7229449
zbMATH Keywords: fluid-fluid interaction problems
zbMATH Keywords: nonlinear interface condition
zbMATH Keywords: Crank-Nicolson leap-frog
zbMATH Keywords: decoupled scheme
zbMATH Keywords: stability analysis
reviewed by: Bülent Karasözen
describes a project that uses: FreeFem++
MaRDI profile type: Publication
full work available at URL: s10915-020-01254-5
OpenAlex ID: W3036042453
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DOI: 10.1007/S10915-020-01254-5
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