Unconditional stability over long time intervals of a two-level coupled MacCormack/Crank-Nicolson method for evolutionary mixed Stokes-Darcy model

DOI10.1016/j.cam.2022.114148zbMath1492.76081OpenAlexW4210891274MaRDI QIDQ2114420

Eric Ngondiep

Publication date: 15 March 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2022.114148

zbMATH Keywords

Crank-Nicolson schemeStokes-Darcy modelexplicit MacCormack methodtwo-level MCRS method and stability analysis

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (5)

A two-level fourth-order approach for time-fractional convection-diffusion-reaction equation with variable coefficients ⋮ A high-order numerical scheme for multidimensional convection-diffusion-reaction equation with time-fractional derivative ⋮ A Six-Level Time-Split Leap-Frog/ Crank–Nicolson Approach for Two-Dimensional Nonlinear Time-Dependent Convection Diffusion Reaction Equation ⋮ A posteriori error estimate of MacCormack rapid solver method for two-dimensional incompressible Navier-Stokes problems ⋮ A high-order combined finite element/interpolation approach for multidimensional nonlinear generalized Benjamin-Bona-Mahony-Burgers equation

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