Partitioned second order method for magnetohydrodynamics in Elsässer variables

DOI10.3934/dcdsb.2018106zbMath1394.76149OpenAlexW2795613344MaRDI QIDQ1670364

Yong Li, Cǎ tǎ lin Trenchea

Publication date: 5 September 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2018106

zbMATH Keywords

stabilityerror estimatesmagnetohydrodynamicsElsässer variablespartitioned schemelong time stabilitybackward differentiation formula BDF2

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Maxwell equations (35Q61)

Related Items (7)

An efficient algorithm for parameterized magnetohydrodynamic flow ensembles simulation ⋮ A fully decoupled linearized finite element method with second-order temporal accuracy and unconditional energy stability for incompressible MHD equations ⋮ High Order Efficient Algorithm for Computation of MHD Flow Ensembles ⋮ Artificial compression method for MHD system in Elsässer variables ⋮ Stability and errors estimates of a second-order IMSP scheme ⋮ Decoupled, unconditionally stable, higher order discretizations for MHD flow simulation ⋮ A second order decoupled penalty projection method based on deferred correction for MHD in Elsässer variable

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