31 citations · 34 across the 4 of their papers we have counts for
10 papers
High-order DG solvers for under-resolved turbulent incompressible flows: A comparison of and (div) methods
Niklas Fehn, Martin Kronbichler, Christoph Lehrenfeld +2
The accurate numerical simulation of turbulent incompressible flows is a challenging topic in computational fluid dynamics. For discretisation methods to be robust in the under-res…
A natural decomposition of viscous dissipation in DG methods for turbulent incompressible flows
Christoph Lehrenfeld, Gert Lube, Philipp W. Schroeder
In this note we aim at a characterisation of the discretisation of viscous dissipation which allows to distinguish `physical' (also frequently called `molecular', or `resolved') fr…
Implicit LES with high-order H(div)-conforming FEM for incompressible Navier-Stokes flows
Gert Lube, Philipp W. Schroeder
Consider the transient incompressible Navier-Stokes flow at high Reynolds numbers. A high-order H(div)-conforming FEM with pointwise divergence-free dis- crete velocities is applie…
On high-order pressure-robust space discretisations, their advantages for incompressible high Reynolds number generalised Beltrami flows and beyond
Nicolas R. Gauger, Alexander Linke, Philipp W. Schroeder
An improved understanding of the divergence-free constraint for the incompressible Navier--Stokes equations leads to the observation that a semi-norm and corresponding equivalence…
On reference solutions and the sensitivity of the 2D Kelvin-Helmholtz instability problem
Philipp W. Schroeder, Volker John, Philip L. Lederer +3
Two-dimensional Kelvin-Helmholtz instability problems are popular examples for assessing discretizations for incompressible flows at high Reynolds number. Unfortunately, the result…
The analogue of grad-div stabilization in DG methods for incompressible flows: Limiting behavior and extension to tensor-product meshes
Mine Akbas, Alexander Linke, Leo G. Rebholz +1
Grad-div stabilization is a classical remedy in conforming mixed finite element methods for incompressible flow problems, for mitigating velocity errors that are sometimes called p…