Novel pressure-correction schemes based on scalar auxiliary variable method for the MHD equations

DOI10.1016/j.amc.2022.127550OpenAlexW4296934829MaRDI QIDQ2096293

Weilong Wang

Publication date: 16 November 2022

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

Full work available at URL: https://doi.org/10.1016/j.amc.2022.127550

zbMATH Keywords

unconditional stabilitypressure-correction methodtime-dependent MHDSAV approachadaptive time-stepping method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)

Related Items (2)

Unconditional stability and error analysis of an Euler IMEX-SAV scheme for the micropolar Navier-Stokes equations ⋮ Stability and temporal error estimate of scalar auxiliary variable schemes for the magnetohydrodynamics equations with variable density

Cites Work

• Efficient, adaptive energy stable schemes for the incompressible Cahn-Hilliard Navier-Stokes phase-field models
• Magnetohydrodynamics. Transl. from the French by A. F. Wright, typeset by C. Philippe
• A two-level discretization method for the stationary MHD equations
• The scalar auxiliary variable (SAV) approach for gradient flows
• A partitioned finite element scheme based on Gauge-Uzawa method for time-dependent MHD equations
• A second order accurate scalar auxiliary variable (SAV) numerical method for the square phase field crystal equation
• A new Lagrange multiplier approach for gradient flows
• Numerical approximation of incompressible Navier-Stokes equations based on an auxiliary energy variable
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
• Projection method III: Spatial discretization on the staggered grid
• Unconditional convergence of the Euler semi-implicit scheme for the 3D incompressible MHD equations
• An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models
• On the Existence, Uniqueness, and Finite Element Approximation of Solutions of the Equations of Stationary, Incompressible Magnetohydrodynamics
• On Error Estimates of Projection Methods for Navier–Stokes Equations: First-Order Schemes
• Convergence of gauge method for incompressible flow
• Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
• On the error estimates for the rotational pressure-correction projection methods
• On error estimates of the projection methods for the Navier-Stokes equations: Second-order schemes
• Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations
• A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
• Pressure-Correction Projection FEM for Time-Dependent Natural Convection Problem
• Energy stability and convergence of SAV block-centered finite difference method for gradient flows
• Numerical Solution of the Navier-Stokes Equations
• AN APPROXIMATE PROJECTION SCHEME FOR INCOMPRESSIBLE FLOW USING SPECTRAL ELEMENTS

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