A spacetime discontinuous Galerkin method for the incompressible NavierStokes equations

S Rhebergen, B Cockburn… - Journal of computational …, 2013 - Elsevier
spacetime discontinuous Galerkin (DG) finite element method for the incompressible
NavierStokes equations… high-order accurate in both space and time and can be directly applied …

[HTML][HTML] A staggered spacetime discontinuous Galerkin method for the three-dimensional incompressible NavierStokes equations on unstructured tetrahedral …

M Tavelli, M Dumbser - Journal of Computational Physics, 2016 - Elsevier
spacetime discontinuous Galerkin method for the solution of the three-dimensional
incompressible NavierStokes equations on … As is typical for spacetime DG schemes, the …

A staggered spacetime discontinuous Galerkin method for the incompressible NavierStokes equations on two-dimensional triangular meshes

M Tavelli, M Dumbser - Computers & Fluids, 2015 - Elsevier
spacetime discontinuous Galerkin method for the solution of the two dimensional incompressible
NavierStokes equations … of the incompressible NavierStokes equations, their use in …

[HTML][HTML] … spacetime discontinuous Galerkin method on staggered unstructured meshes for the solution of the compressible NavierStokes equations at all Mach …

M Tavelli, M Dumbser - Journal of Computational Physics, 2017 - Elsevier
… accurate semi-implicit spacetime discontinuous Galerkin (DG) method for the solution of …
Euler and NavierStokes equations on staggered unstructured curved meshes. The method is …

Spectral semi-implicit and spacetime discontinuous Galerkin methods for the incompressible NavierStokes equations on staggered Cartesian grids

F Fambri, M Dumbser - Applied Numerical Mathematics, 2016 - Elsevier
… order accurate spectral discontinuous Galerkin (DG) finite element methods are derived on
… of the incompressible NavierStokes (NS) equations in two and three space dimensions. The …

A discontinuous Galerkin method for the NavierStokes equations

I Lomtev, GE Karniadakis - … journal for numerical methods in …, 1999 - Wiley Online Library
… This section demonstrates the exponential convergence of the discontinuous Galerkin
method, first for the parabolic equation and second for the compressible NavierStokes

A novel staggered semi-implicit space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations

FL Romeo, M Dumbser, M Tavelli - Communications on Applied …, 2021 - Springer
… semi-implicit space-time discontinuous Galerkin (DG) method is presented for the simulation
of viscous incompressible flows on unstructured triangular grids in two space dimensions. …

A high order discontinuous Galerkin finite element solver for the incompressible NavierStokes equations

E Ferrer, RHJ Willden - Computers & Fluids, 2011 - Elsevier
Discontinuous Galerkin (DG) method for solving the incompressible NavierStokes (NS)
equations … The numerical solution of the incompressible NS equations requires discretisation in …

A high-order discontinuous Galerkin method for the unsteady incompressible NavierStokes equations

K Shahbazi, PF Fischer, CR Ethier - Journal of computational physics, 2007 - Elsevier
… of the method is further … discontinuous Galerkin method with the P k − P k formulation is an
efficient scheme for accurate and stable solution of the unsteady NavierStokes equations in …

Discontinuous Galerkin methods for compressible and incompressible flows on spacetime adaptive meshes: toward a novel family of efficient numerical methods for …

F Fambri - Archives of Computational Methods in Engineering, 2020 - Springer
… 1.2 Spectral and Semi-Implcit Methods for Incompressible Flows … semi-implicit discontinuous
Galerkin method for solving the incompressible NavierStokes equations is derived within …