Numerical simulation of the ferrohydrodynamics flow using an unconditionally stable second-order scheme

DOI10.1002/zamm.202400025zbMath1545.35112MaRDI QIDQ6591049

Pengzhan Huang, Aytura Keram

Publication date: 21 August 2024

Published in: ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsmixed finite element methodEuler backward schememagnetostaticBloch-Torrey magnetizationextrapolated treatmentsferrohydrodynamics flowmagnetization equationsRosensweig equationsShliomis equations

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) General theory of rotating fluids (76U05) 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) Extrapolation to the limit, deferred corrections (65B05) Finite element methods applied to problems in fluid mechanics (76M10) Suspensions (76T20) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Weak solutions to PDEs (35D30) Electro- and magnetostatics (78A30) Statistical mechanics of nanostructures and nanoparticles (82D80)

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