Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection
From MaRDI portal
Publication:695957
DOI10.1016/j.cma.2012.05.008zbMath1253.76057OpenAlexW1964314926MaRDI QIDQ695957
Nicholas E. Wilson, Alexander Linke, Leo G. Rebholz, Keith J. Galvin
Publication date: 17 December 2012
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2012.05.008
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items (52)
Analysis and computation of a pressure-robust method for the rotation form of the incompressible Navier-Stokes equations with high-order finite elements ⋮ The divergence-conforming immersed boundary method: application to vesicle and capsule dynamics ⋮ A divergence-free HDG scheme for the Cahn-Hilliard phase-field model for two-phase incompressible flow ⋮ On the grad-div stabilization for the steady Oseen and Navier-Stokes equations ⋮ Mass-corrections for the conservative coupling of flow and transport on collocated meshes ⋮ A variational multiscale method for steady natural convection problem based on two-grid discretization ⋮ On high-order pressure-robust space discretisations, their advantages for incompressible high Reynolds number generalised Beltrami flows and beyond ⋮ Sensitivity analysis of the grad-div stabilization parameter in finite element simulations of incompressible flow ⋮ Stokes elements on cubic meshes yielding divergence-free approximations ⋮ A superconvergence result of the natural convection equations ⋮ Numerical analysis of a BDF2 modular grad-div stability method for the Stokes/Darcy equations ⋮ Error analysis of a fully discrete finite element variational multiscale method for the natural convection problem ⋮ Stability in 3d of a sparse Grad-div approximation of the Navier-Stokes equations ⋮ On the determination of the grad-div criterion ⋮ Modular grad-div stabilization for the incompressible non-isothermal fluid flows ⋮ Stabilised finite element methods for the Oseen problem on anisotropic quadrilateral meshes ⋮ Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations with Continuous Pressure Finite Elements ⋮ Stabilised DG-FEM for incompressible natural convection flows with boundary and moving interior layers on non-adapted meshes ⋮ On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows ⋮ An EMA-conserving, pressure-robust and Re-semi-robust method with A robust reconstruction method for Navier–Stokes ⋮ A pressure-robust mixed finite element method for the coupled Stokes-Darcy problem ⋮ Numerical analysis of projection methods for the time-dependent Navier-Stokes equations with modular grad-div stabilization ⋮ On Really Locking-Free Mixed Finite Element Methods for the Transient Incompressible Stokes Equations ⋮ A fully discrete finite element method for a constrained transport model of the incompressible MHD equations ⋮ 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 ⋮ The Crank-Nicolson extrapolation stabilized finite element method for natural convection problem ⋮ On a reduced sparsity stabilization of Grad-div type for incompressible flow problems ⋮ Efficient nonlinear iteration schemes based on algebraic splitting for the incompressible Navier-Stokes equations ⋮ Quasi-optimality of a pressure-robust nonconforming finite element method for the Stokes-problem ⋮ Numerical methods for immersed FSI with thin-walled structures ⋮ A divergence-free low-order stabilized finite element method for a generalized steady state Boussinesq problem ⋮ The analogue of grad-div stabilization in DG methods for incompressible flows: limiting behavior and extension to tensor-product meshes ⋮ Towards pressure-robust mixed methods for the incompressible Navier-Stokes equations ⋮ Dual-mixed finite element methods for the stationary Boussinesq problem ⋮ A divergence-free velocity reconstruction for incompressible flows ⋮ Robust Arbitrary Order Mixed Finite Element Methods for the Incompressible Stokes Equations with pressure independent velocity errors ⋮ A modular Grad-div stabilization for the 2D/3D nonstationary incompressible magnetohydrodynamic equations ⋮ On the role of the Helmholtz decomposition in mixed methods for incompressible flows and a new variational crime ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Pressure-robustness and discrete Helmholtz projectors in mixed finite element methods for the incompressible Navier-Stokes equations ⋮ A discontinuous skeletal method for the viscosity-dependent Stokes problem ⋮ Immersogeometric cardiovascular fluid-structure interaction analysis with divergence-conforming B-splines ⋮ Non-body-fitted fluid-structure interaction: divergence-conforming B-splines, fully-implicit dynamics, and variational formulation ⋮ An extension of the Crouzeix–Raviart space to general meshes with application to quasi-incompressible linear elasticity and Stokes flow ⋮ Efficient linear solvers for incompressible flow simulations using Scott-Vogelius finite elements ⋮ The Stokes complex: A review of exactly divergence–free finite element pairs for incompressible flows ⋮ A discontinuous Galerkin method for the stationary Boussinesq system ⋮ Skeleton-stabilized divergence-conforming B-spline discretizations for incompressible flow problems of high Reynolds number ⋮ A note on the importance of mass conservation in long-time stability of Navier-Stokes simulations using finite elements ⋮ The Discontinuous Galerkin Method by Divergence-Free Patch Reconstruction for Stokes Eigenvalue Problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A projection-based stabilized finite element method for steady-state natural convection problem
- On the convergence rate of grad-div stabilized Taylor-Hood to Scott-Vogelius solutions for incompressible flow problems
- Grad-div stabilization and subgrid pressure models for the incompressible Navier-Stokes equations
- On the accuracy of the rotation form in simulations of the Navier-Stokes equations
- Pressure separation -- a technique for improving the velocity error in finite element discretisations of the Navier-Stokes equations
- A projection method for constructing a mass conservative velocity field
- Theory and practice of finite elements.
- Stabilized finite element methods for the generalized Oseen problem
- Enabling numerical accuracy of Navier-Stokes-αthrough deconvolution and enhanced stability
- A Connection Between Scott–Vogelius and Grad-Div Stabilized Taylor–Hood FE Approximations of the Navier–Stokes Equations
- A steepest gradient method for optimum structural design
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Finite Element Methods for Navier-Stokes Equations
- Mixed and Hybrid Finite Element Methods
- Natural convection flow in a square cavity revisited: Laminar and turbulent models with wall functions
- Grad-div stablilization for Stokes equations
This page was built for publication: Stabilizing poor mass conservation in incompressible flow problems with large irrotational forcing and application to thermal convection
