49 citations · 258 across the 12 of their papers we have counts for
12 papers
Locally energy-stable finite element schemes for incompressible flow problems: Design and analysis for equal-order interpolations
Hennes Hajduk, Dmitri Kuzmin, Gert Lube +1
We show that finite element discretizations of incompressible flow problems can be designed to ensure preservation/dissipation of kinetic energy not only globally but also locally.…
A theoretical framework and the experimental dataset for benchmarking numerical models of dilute pyroclastic density currents
Matteo Cerminara, Ermanno Brosch, Gert Lube
The aim of this document is to define a Pyroclastic Density Currents (PDCs) benchmark based on a large-scale experiment to be used with numerical models at different levels of comp…
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 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…
Towards computable flows and robust estimates for inf-sup stable FEM applied to the time-dependent incompressible Navier-Stokes equations
Philipp W. Schroeder, Christoph Lehrenfeld, Alexander Linke +1
Inf-sup stable FEM applied to time-dependent incompressible Navier-Stokes flows are considered. The focus lies on robust estimates for the kinetic and dissipation energies in a two…
Divergence-free (div)-FEM for time-dependent incompressible flows with applications to high Reynolds number vortex dynamics
Philipp W. Schroeder, Gert Lube
In this article, we consider exactly divergence-free (div)-conforming finite element methods for time-dependent incompressible viscous flow problems. This is an extension of pre…
Numerical Simulation of Bloch Equations for Dynamic Magnetic Resonance Imaging
Arijit Hazra, Gert Lube, Hans-Georg Raumer
Magnetic Resonance Imaging (MRI) is a widely applied non-invasive imaging modality based on non-ionizing radiation which gives excellent images and soft tissue contrast of living t…
Stabilised dG-FEM for incompressible natural convection flows with boundary and moving interior layers on non-adapted meshes
Philipp W. Schroeder, Gert Lube
This paper presents heavily grad-div and pressure jump stabilised, equal- and mixed-order discontinuous Galerkin finite element methods for non-isothermal incompressible flows base…
Pressure-robust analysis of divergence-free and conforming FEM for evolutionary incompressible Navier-Stokes flows
Philipp W. Schroeder, Gert Lube
This article focusses on the analysis of a conforming finite element method for the time-dependent incompressible Navier-Stokes equations. For divergence-free approximations, in a…
Quasi-Optimal Error Estimates for the Incompressible Navier-Stokes Problem Discretized by Finite Element Methods and Pressure-Correction Projection with Velocity Stabilization
Daniel Arndt, Helene Dallmann, Gert Lube
We consider error estimates for the fully discretized instationary Navier-Stokes problem. For the spatial approximation we use conforming inf-sup stable finite element methods in c…