Numerical analysis of an artificial compression method for magnetohydrodynamic flows at low magnetic Reynolds numbers

DOI10.1007/s10915-018-0670-5zbMath1396.76054OpenAlexW2791171986WikidataQ130168280 ScholiaQ130168280MaRDI QIDQ1785498

Yao Rong, Haiyun Zhao, William J. Layton

Publication date: 28 September 2018

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

Full work available at URL: https://doi.org/10.1007/s10915-018-0670-5

zbMATH Keywords

finite element methodmagnetohydrodynamicsartificial compression methodpartitioned method

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (6)

Two‐level methods based on the Arrow–Hurwicz iteration for the steady incompressible magnetohydrodynamic system ⋮ Artificial compression method for MHD system in Elsässer variables ⋮ Artificial compressibility SAV ensemble algorithms for the incompressible Navier-Stokes equations ⋮ An Artificial Compressibility Crank--Nicolson Leap-Frog Method for the Stokes--Darcy Model and Application in Ensemble Simulations ⋮ A Convergent Linearized Lagrange Finite Element Method for the Magneto-hydrodynamic Equations in Two-Dimensional Nonsmooth and Nonconvex Domains ⋮ Fast and accurate artificial compressibility ensemble algorithms for computing parameterized Stokes-Darcy flow ensembles

Uses Software

• FreeFem++

Cites Work

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• Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics
• An efficient two-step algorithm for the stationary incompressible magnetohydrodynamic equations
• Some Uzawa-type finite element iterative methods for the steady incompressible magnetohydrodynamic equations
• On a new pseudocompressibility method for the incompressible Navier-Stokes equations
• Decoupled schemes for unsteady MHD equations. II: Finite element spatial discretization and numerical implementation
• Numerical analysis of backward-Euler discretization for simplified magnetohydrodynamic flows
• Two-level Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics
• Two-level penalty Newton iterative method for the 2D/3D stationary incompressible magnetohydrodynamics equations
• Numerical analysis of a second order algorithm for simplified magnetohydrodynamic flows
• Iterative methods in penalty finite element discretization for the steady MHD equations
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. I
• An Introduction to Magnetohydrodynamics
• Stability of partitioned methods for magnetohydrodynamics flows at small magnetic Reynolds number
• Numerical analysis of two partitioned methods for uncoupling evolutionary MHD flows
• Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
• Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system
• On the finite element approximation of incompressible flows of an electrically conducting fluid
• On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes
• A partitioned second‐order method for magnetohydrodynamic flows at small magnetic reynolds numbers
• On Error Estimates of the Penalty Method for Unsteady Navier–Stokes Equations
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• Decoupled schemes for unsteady MHD equations. I. time discretization
• Numerical Solution of the Navier-Stokes Equations
• On sound generated aerodynamically I. General theory
• On error estimates of some higher order penalty-projection methods for Navier-Stokes equations
• The slightly compressible Navier-Stokes equations revisited

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