Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow
From MaRDI portal
Publication:2687530
DOI10.1016/j.jcp.2023.111961OpenAlexW4319991596MaRDI QIDQ2687530
Publication date: 7 March 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.07381
Numerical linear algebra (65Fxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)
Related Items
Additive Schwarz Methods for Serendipity Elements, Constraint-Satisfying Krylov Solvers for Structure-Preserving Discretizations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- A splitting preconditioner for the iterative solution of implicit Runge-Kutta and boundary value methods
- Stable finite element methods preserving \(\nabla \cdot \boldsymbol{B}=0\) exactly for MHD models
- Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
- An efficient smoother for the Stokes problem
- An algebraic multigrid method for high order time-discretizations of the div-grad and the curl-curl equations
- Block-implicit calculation of steady turbulent recirculating flows
- Block-implicit multigrid solution of Navier-Stokes equations in primitive variables
- A numerical solution of the Navier-Stokes equations using the finite element technique
- Mixed finite elements for incompressible magneto-hydrodynamics.
- Mixed finite element methods for stationary incompressible magneto-hydrodynamics
- Stage-parallel fully implicit Runge-Kutta solvers for discontinuous Galerkin fluid simulations
- A second-order projection method for the incompressible Navier-Stokes equations
- A Reynolds-robust preconditioner for the Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations
- Convergence of a \(\boldsymbol{B}\)-\(\boldsymbol{E}\) based finite element method for MHD models on Lipschitz domains
- An overview of projection methods for incompressible flows
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
- Inexact Simplified Newton Iterations for Implicit Runge-Kutta Methods
- Efficient Mesh Management in Firedrake Using PETSc DMPlex
- Block Preconditioners for Stable Mixed Nodal and Edge finite element Representations of Incompressible Resistive MHD
- Island Coalescence Using Parallel First-Order System Least Squares on Incompressible Resistive Magnetohydrodynamics
- Finite Elements and Fast Iterative Solvers
- Scaling Structured Multigrid to 500K+ Cores Through Coarse-Grid Redistribution
- Firedrake
- Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
- Monolithic Multigrid Methods for Two-Dimensional Resistive Magnetohydrodynamics
- Algebraic multigrid for stationary and time‐dependent partial differential equations with stochastic coefficients
- A Second-Order Accurate Pressure-Correction Scheme for Viscous Incompressible Flow
- On the implementation of implicit Runge-Kutta methods
- An Efficient Solution Process for Implicit Runge–Kutta Methods
- Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
- Multigrid Method for Maxwell's Equations
- Reference values for drag and lift of a two‐dimensional time‐dependent flow around a cylinder
- Structure-preserving finite element methods for stationary MHD models
- Preconditioners for Mixed Finite Element Discretizations of Incompressible MHD Equations
- Solver Composition Across the PDE/Linear Algebra Barrier
- A new family of stable mixed finite elements for the 3D Stokes equations
- A Preconditioner for the Steady-State Navier--Stokes Equations
- Choosing the Forcing Terms in an Inexact Newton Method
- A local Fourier analysis of additive Vanka relaxation for the Stokes equations
- Irksome: Automating Runge–Kutta Time-stepping for Finite Element Methods
- PCPATCH
- Monolithic Multigrid Methods for Magnetohydrodynamics
- A New Block Preconditioner for Implicit Runge--Kutta Methods for Parabolic PDE Problems
- On high-order pressure-robust space discretisations, their advantages for incompressible high Reynolds number generalised Beltrami flows and beyond
- An Augmented Lagrangian Preconditioner for the 3D Stationary Incompressible Navier--Stokes Equations at High Reynolds Number
- A Flexible Inner-Outer Preconditioned GMRES Algorithm
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
- Preconditioning a mass‐conserving discontinuous Galerkin discretization of the Stokes equations
- Order‐Optimal Preconditioners for Implicit Runge–Kutta Schemes Applied to Parabolic PDEs
- On the Convergence of Discrete Approximations to the Navier-Stokes Equations
- Numerical Solution of the Navier-Stokes Equations
- Multigrid Methods for Implicit Runge--Kutta and Boundary Value Method Discretizations of Parabolic PDEs
- Numerical Methods for Ordinary Differential Equations
- General linear methods