A modular Grad-div stabilization for the 2D/3D nonstationary incompressible magnetohydrodynamic equations
From MaRDI portal
Publication:2291922
DOI10.1007/s10915-019-01114-xzbMath1448.76195OpenAlexW2998280745WikidataQ126396512 ScholiaQ126396512MaRDI QIDQ2291922
Publication date: 31 January 2020
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-019-01114-x
mixed finite element methodfully discrete schememagnetohydrodynamic modelmodular Grad-div stabilization
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05)
Related Items (12)
A finite element algorithm for the nonstationary incompressible magnetohydrodynamic system based on a correction method ⋮ A vector penalty-projection approach for the time-dependent incompressible magnetohydrodynamics flows ⋮ On two-level Oseen penalty iteration methods for the 2D/3D stationary incompressible magnetohydronamics ⋮ A second-order scheme based on blended BDF for the incompressible MHD system ⋮ Numerical analysis of projection methods for the time-dependent Navier-Stokes equations with modular grad-div stabilization ⋮ A grad‐div stabilized method using the Jacobi iteration for the thermally coupled incompressible magnetohydrodynamic system ⋮ A sparse grad-div stabilized algorithm for the incompressible magnetohydrodynamics equations ⋮ Deferred defect‐correction finite element method for the Darcy‐Brinkman model ⋮ Numerical analysis of modular grad-div stability methods for the time-dependent Navier-Stokes/Darcy model ⋮ Rotational pressure-correction method for the Stokes/Darcy model based on the modular grad-div stabilization ⋮ Grad-div Stabilized Finite Element Schemes for the Fluid-Fluid Interaction Model ⋮ Fully discrete finite element approximation of the 2D/3D unsteady incompressible magnetohydrodynamic-Voigt regularization flows
Cites Work
- Unnamed Item
- Unnamed Item
- Sensitivity analysis of the grad-div stabilization parameter in finite element simulations of incompressible flow
- On the parameter choice in grad-div stabilization for the Stokes equations
- Error analysis and iterative solvers for Navier-Stokes projection methods with standard and sparse grad-div stabilization
- On the convergence rate of grad-div stabilized Taylor-Hood to Scott-Vogelius solutions for incompressible flow problems
- On the long-time \(H ^{2}\)-stability of the implicit Euler scheme for the 2D magnetohydrodynamics equations
- Grad-div stabilization and subgrid pressure models for the incompressible Navier-Stokes equations
- Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection
- Two classes of mixed finite element methods
- Magnetohydrodynamics. Transl. from the French by A. F. Wright, typeset by C. Philippe
- Second order unconditionally convergent and energy stable linearized scheme for MHD equations
- On the determination of the grad-div criterion
- Convergence analysis of three finite element iterative methods for the 2D/3D stationary incompressible magnetohydrodynamics
- On an efficient second order backward difference Newton scheme for MHD system
- Analysis of the grad-div stabilization for the time-dependent Navier-Stokes equations with inf-sup stable finite elements
- On the global unique solvability of initial-boundary value problems for the coupled modified Navier-Stokes and Maxwell equations
- A low-order Galerkin finite element method for the Navier-Stokes equations of steady incompressible flow: a stabilization issue and iterative methods.
- The analogue of grad-div stabilization in DG methods for incompressible flows: limiting behavior and extension to tensor-product meshes
- Optimal convergence analysis of Crank-Nicolson extrapolation scheme for the three-dimensional incompressible magnetohydrodynamics
- Unconditional stability and error estimates of the modified characteristics FEMs for the time-dependent incompressible MHD equations
- Numerical analysis of a BDF2 modular grad-div stabilization method for the Navier-Stokes equations
- An efficient and modular grad-div stabilization
- On the grad-div stabilization for the steady Oseen and Navier-Stokes equations
- Grad-div stabilization for the evolutionary Oseen problem with inf-sup stable finite elements
- A connection between coupled and penalty projection timestepping schemes with FE spatial discretization for the Navier-Stokes equations
- On a reduced sparsity stabilization of Grad-div type for incompressible flow problems
- On reducing the splitting error in Yosida methods for the Navier-Stokes equations with Grad-div stabilization
- An Introduction to Magnetohydrodynamics
- A subgrid stabilization finite element method for incompressible magnetohydrodynamics
- Unconditionally stable operator splitting algorithms for the incompressible magnetohydrodynamics system discretized by a stabilized finite element formulation based on projections
- Unconditional convergence of the Euler semi-implicit scheme for the 3D incompressible MHD equations
- A Connection Between Scott–Vogelius and Grad-Div Stabilized Taylor–Hood FE Approximations of the Navier–Stokes Equations
- Mathematical Methods for the Magnetohydrodynamics of Liquid Metals
- Numerical analysis of the Crank–Nicolson extrapolation time discrete scheme for magnetohydrodynamics flows
- Convergent finite element discretizations of the nonstationary incompressible magnetohydrodynamics system
- Grad-div stabilized discretizations on S-type meshes for the Oseen problem
- An Enriched Edge-Based Smoothed FEM for Linear Elastic Fracture Problems
- A prioriestimates and optimal finite element approximation of the MHD flow in smooth domains
- Local projection stabilization for the Oseen problem
- Grad-div stablilization for Stokes equations
- A Preconditioned Semi-Implicit Method for Magnetohydrodynamics Equations
- Unconditional convergence of the Euler semi-implicit scheme for the three-dimensional incompressible MHD equations
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
- A finite element method for magnetohydrodynamics
- The effect of a sparse Grad-div stabilization on control of stationary Navier-Stokes equations
This page was built for publication: A modular Grad-div stabilization for the 2D/3D nonstationary incompressible magnetohydrodynamic equations
