Crank-Nicolson leap-frog time stepping decoupled scheme for the fluid-fluid interaction problems

DOI10.1007/s10915-020-01254-5zbMath1447.65088OpenAlexW3036042453MaRDI QIDQ785556

Lingzhi Qian, Xinlong Feng, Yin-Nian He

Publication date: 7 August 2020

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-020-01254-5

zbMATH Keywords

stability analysisCrank-Nicolson leap-frogdecoupled schemefluid-fluid interaction problemsnonlinear interface condition

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

Numerical analysis of two decoupled algorithms for a parabolic two domain problem, A fully-decoupled artificial compressible Crank-Nicolson-leapfrog time stepping scheme for the phase field model of two-phase incompressible flows, Decoupled Crank–Nicolson LeapFrog method for the evolution Boussinesq equations, Linearly implicit variable step-size BDF schemes with Fourier pseudospectral approximation for incompressible Navier-Stokes equations

Uses Software

• FreeFem++

Cites Work

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