An efficient and modular grad-div stabilization
DOI10.1016/j.cma.2018.02.023zbMath1440.76058arXiv1712.00413OpenAlexW2775518998WikidataQ130155145 ScholiaQ130155145MaRDI QIDQ2310950
J. A. Fiordilino, Yao Rong, William J. Layton
Publication date: 7 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.00413
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (24)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- High-order time stepping for the Navier-Stokes equations with minimal computational complexity
- 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
- Finite element approximation of the Navier-Stokes equations
- Grad-div stabilization and subgrid pressure models for the incompressible Navier-Stokes equations
- Multigrid method for \(H\text{(div)}\) in three dimensions
- On the determination of the grad-div criterion
- Splitting schemes for unsteady problems involving the grad-div operator
- Preconditioning sparse grad-div/augmented Lagrangian stabilized saddle point systems
- Accurate conjugate gradient methods for families of shifted systems
- A low-order Galerkin finite element method for the Navier-Stokes equations of steady incompressible flow: a stabilization issue and iterative methods.
- Theory and practice of finite elements.
- Multigrid methods for a parameter-dependent problem in primal variables
- Multigrid in H(div) and H(curl)
- A conservative, second order, unconditionally stable artificial compression method
- On a reduced sparsity stabilization of Grad-div type for incompressible flow problems
- A connection between filter stabilization and eddy viscosity models
- ℋ︁-LU factorization in preconditioners for augmented Lagrangian and grad-div stabilized saddle point systems
- Time-dependent flow across a step: the slip with friction boundary condition
- Recent computational developments in Krylov subspace methods for linear systems
- Two preconditioners for saddle point problems in fluid flows
- Finite-Element Approximation of the Nonstationary Navier–Stokes Problem. Part IV: Error Analysis for Second-Order Time Discretization
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- A Two-Level Method with Backtracking for the Navier--Stokes Equations
- Computer-aided analysis of flow past a surface-mounted obstacle
- Reference values for drag and lift of a two‐dimensional time‐dependent flow around a cylinder
- Grad-div stablilization for Stokes equations
- New development in freefem++
- On relaxation times in the Navier-Stokes-Voigt model
- Efficient augmented Lagrangian‐type preconditioning for the Oseen problem using Grad‐Div stabilization
- On Pressure Approximation via Projection Methods for Nonstationary Incompressible Navier–Stokes Equations
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
- An Augmented Lagrangian‐Based Approach to the Oseen Problem
- A Primal-Based Penalty Preconditioner for Elliptic Saddle Point Systems
This page was built for publication: An efficient and modular grad-div stabilization