Stability analysis of maccormack rapid solver method for evolutionary Stokes-Darcy problem

DOI10.1016/j.cam.2018.06.034zbMath1397.76074OpenAlexW2811216691MaRDI QIDQ1789709

Eric Ngondiep

Publication date: 10 October 2018

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.2018.06.034

zbMATH Keywords

Crank-Nicolson schemelong time stabilityinterface couplingexplicit MacCormack schememaccormack rapid solver methodnon-stationary mixed Stokes-Darcy model

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) Error bounds for boundary value problems involving PDEs (65N15) 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 (8)

A novel three-level time-split MacCormack scheme for two-dimensional evolutionary linear convection-diffusion-reaction equation with source term ⋮ 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 ⋮ A Two-Level Factored Crank-Nicolson Method for Two-Dimensional Nonstationary Advection-Diffusion Equation With Time Dependent Dispersion Coefficients and Source Terms ⋮ Unconditional stability over long time intervals of a two-level coupled MacCormack/Crank-Nicolson method for evolutionary mixed Stokes-Darcy model

Cites Work

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