Local conservation laws of continuous Galerkin method for the incompressible Navier-Stokes equations in EMAC form
From MaRDI portal
Publication:6120181
DOI10.1016/j.cma.2023.116583arXiv2309.05585OpenAlexW4388471949MaRDI QIDQ6120181
Maxim A. Olshanskii, Leo G. Rebholz
Publication date: 25 March 2024
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2309.05585
Cites Work
- Unnamed Item
- Isogeometric divergence-conforming B-splines for the unsteady Navier-Stokes equations
- Note on helicity balance of the Galerkin method for the 3D Navier-Stokes equations
- The continuous Galerkin method is locally conservative
- Large-eddy simulations of the vortex-induced vibration of a low mass ratio two-degree-of-freedom circular cylinder at subcritical Reynolds numbers
- A mass, energy, enstrophy and vorticity conserving (MEEVC) mimetic spectral element discretization for the 2D incompressible Navier-Stokes equations
- Discrete approximations with additional conserved quantities: deterministic and statistical behavior
- Energy and helicity preserving schemes for hydro- and magnetohydro-dynamics flows with symmetry
- Efficient discretizations for the EMAC formulation of the incompressible Navier-Stokes equations
- Longer time accuracy for incompressible Navier-Stokes simulations with the EMAC formulation
- On reference solutions and the sensitivity of the 2D Kelvin-Helmholtz instability problem
- A low-dissipation finite element scheme for scale resolving simulations of turbulent flows
- On the convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows
- A new high order energy and enstrophy conserving Arakawa-like Jacobian differential operator
- On conservation laws of Navier-Stokes Galerkin discretizations
- Conservation properties for the Galerkin and stabilised forms of the advection--diffusion and incompressible Navier--Stokes equations
- Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow. Part I
- Finite Element Methods for Incompressible Flow Problems
- Discontinuous Galerkin methods
- Reference values for drag and lift of a two‐dimensional time‐dependent flow around a cylinder
- Finite Volume Methods for Hyperbolic Problems
- Inf-Sup Stable Finite Elements on Barycentric Refinements Producing Divergence--Free Approximations in Arbitrary Dimensions
- Improved Long Time Accuracy for Projection Methods for Navier-Stokes Equations Using Emac Formulation
