A unified framework of continuous and discontinuous Galerkin methods for solving the incompressible Navier-Stokes equation
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Publication:2123805
DOI10.1016/j.jcp.2020.109799OpenAlexW3081285618MaRDI QIDQ2123805
Xi Chen, John Cimbala, Yuwen Li, Corina S. Drapaca
Publication date: 14 April 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.09485
discontinuous Galerkin methodmixed finite element methodimplicit Runge-Kutta methodsenergy stabilityincompressible Navier-Stokes equationpressure robustness
Related Items (5)
New stabilized \(P_1 \times P_0\) finite element methods for nearly inviscid and incompressible flows ⋮ Superconvergent pseudostress-velocity finite element methods for the Oseen equations ⋮ A priori error estimates of a discontinuous Galerkin method for the Navier-Stokes equations ⋮ A Crank-Nicolson discontinuous Galerkin pressure-projection method for the hydrodynamic and sediment transport model ⋮ Optimal convergence for time-dependent Stokes equation: a new approach
Cites Work
- Unnamed Item
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- On the parameter choice in grad-div stabilization for the Stokes equations
- On the convergence rate of grad-div stabilized Taylor-Hood to Scott-Vogelius solutions for incompressible flow problems
- Mathematical aspects of discontinuous Galerkin methods.
- 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
- Two families of mixed finite elements for second order elliptic problems
- Two classes of mixed finite element methods
- A high-order discontinuous Galerkin method for 2D incompressible flows
- A post-processing technique for stabilizing the discontinuous pressure projection operator in marginally-resolved incompressible inviscid flow
- Stabilised DG-FEM for incompressible natural convection flows with boundary and moving interior layers on non-adapted meshes
- A mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- 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
- Versatile mixed methods for the incompressible Navier-Stokes equations
- High order exactly divergence-free Hybrid Discontinuous Galerkin methods for unsteady incompressible flows
- A high order semi-Lagrangian discontinuous Galerkin method for the two-dimensional incompressible Euler equations and the guiding center Vlasov model without operator splitting
- Towards computable flows and robust estimates for inf-sup stable FEM applied to the time-dependent incompressible Navier-Stokes equations
- On conservation laws of Navier-Stokes Galerkin discretizations
- A note on discontinuous Galerkin divergence-free solutions of the Navier-Stokes equations
- Strong Stability-Preserving High-Order Time Discretization Methods
- Stokes Complexes and the Construction of Stable Finite Elements with Pointwise Mass Conservation
- Conforming and divergence-free Stokes elements on general triangular meshes
- Analysis of a hybridizable discontinuous Galerkin method for the steady-state incompressible Navier-Stokes equations
- A Connection Between Scott–Vogelius and Grad-Div Stabilized Taylor–Hood FE Approximations of the Navier–Stokes Equations
- Solving Ordinary Differential Equations I
- Stable finite-element calculation of incompressible flows using the rotation form of convection
- On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 2: Implementation
- Finite Element Methods for Navier-Stokes Equations
- An Interior Penalty Finite Element Method with Discontinuous Elements
- A new family of stable mixed finite elements for the 3D Stokes equations
- A locally conservative LDG method for the incompressible Navier-Stokes equations
- H(div) conforming and DG methods for incompressible Euler’s equations
- Korn's inequalities for piecewise $H^1$ vector fields
- Grad-div stablilization for Stokes equations
- Mixed Finite Element Methods and Applications
- On the Divergence Constraint in Mixed Finite Element Methods for Incompressible Flows
- The Mathematical Theory of Finite Element Methods
- Geometric Numerical Integration
- Implicit Runge-Kutta Processes
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