activity
20112026
most citedHigh order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows

211 citations · 712 across the 40 of their papers we have counts for

collaborators
Showing 2018Show all

5 papers · 1 filter

math.NA2018★ 1 cited

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…

math.NA2018★ 2 cited

Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II

Philip L. Lederer, Christoph Lehrenfeld, Joachim Schöberl

The present work is the second part of a pair of papers, considering Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity. The first part mainly dealt with presenti…

math.NA2018★ 5 cited

Mass Conservative Reduced Order Modeling of a Free Boundary Osmotic Cell Swelling Problem

Christoph Lehrenfeld, Stephan Rave

We consider model order reduction for a free boundary problem of an osmotic cell that is parameterized by material parameters as well as the initial shape of the cell. Our approach…

math.NA2018★ 44 cited

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…

math.NA2018

An Eulerian Finite Element Method for PDEs in time-dependent domains

Christoph Lehrenfeld, Maxim A. Olshanskii

The paper introduces a new finite element numerical method for the solution of partial differential equations on evolving domains. The approach uses a completely Eulerian descripti…