36 citations · 100 across the 15 of their papers we have counts for
15 papers
An unfitted divergence-free higher order finite element method for the Stokes problem
Michael Neilan, Maxim Olshanskii, Henry von Wahl
The paper develops and analyzes a higher-order unfitted finite element method for the incompressible Stokes equations, which yields a strongly divergence-free velocity field up to…
Benchmark stress tests for flow past a cylinder at higher Reynolds numbers using EMAC
Henry von Wahl, Leo G. Rebholz, L. Ridgway Scott
We consider a test problem for Navier-Stokes solvers based on the flow around a cylinder at Reynolds numbers 500 and 1000, where the solution is observed to be periodic when the pr…
Stability of instantaneous pressures in an Eulerian finite element method for moving boundary flow problems
Maxim Olshanskii, Henry von Wahl
This paper focuses on identifying the cause and proposing a remedy for the problem of spurious pressure oscillations in a sharp-interface immersed boundary finite element method fo…
A thermo-flow-mechanics-fracture model coupling a phase-field interface approach and thermo-fluid-structure interaction
Sanghyun Lee, Henry von Wahl, Thomas Wick
Geothermal energy, a promising renewable source, relies on efficiently utilizing geothermal reservoirs, especially in Enhanced Geothermal Systems (EGS), where fractures in hot rock…
Reliable chaotic transition in incompressible fluid simulations
Henry von Wahl, L. Ridgway Scott
We consider a test problem for Navier-Stokes solvers based on the flow around a cylinder that exhibits chaotic behavior, to examine the behavior of various numerical methods. We ch…
A conservative Eulerian finite element method for transport and diffusion in moving domains
Maxim Olshanskii, Henry von Wahl
The paper introduces a finite element method for an Eulerian formulation of partial differential equations governing the transport and diffusion of a scalar quantity in a time-depe…
A coupled high-accuracy phase-field fluid-structure interaction framework for Stokes fluid-filled fracture surrounded by an elastic medium
Henry von Wahl, Thomas Wick
In this work, we couple a high-accuracy phase-field fracture reconstruction approach iteratively to fluid-structure interaction. The key motivation is to utilize phase-field modell…
A discontinuous Galerkin approach for atmospheric flows with implicit condensation
Sabine Doppler, Philip L. Lederer, Joachim Schöberl +1
We present a discontinuous Galerkin method for moist atmospheric dynamics, with and without warm rain. By considering a combined density for water vapour and cloud water, we avoid…
Unfitted Trefftz discontinuous Galerkin methods for elliptic boundary value problems
Fabian Heimann, Christoph Lehrenfeld, Paul Stocker +1
We propose a new geometrically unfitted finite element method based on discontinuous Trefftz ansatz spaces. Trefftz methods allow for a reduction in the number of degrees of freedo…
A high-accuracy framework for phase-field fracture interface reconstructions with application to Stokes fluid-filled fracture surrounded by an elastic medium
Henry von Wahl, Thomas Wick
This work considers a Stokes flow in a deformable fracture interacting with a linear elastic medium. To this end, we employ a phase-field model to approximate the crack dynamics. P…
Error analysis for a parabolic PDE model problem on a coupled moving domain in a fully Eulerian framework
Henry von Wahl, Thomas Richter
We introduce an unfitted finite element method with Lagrange-multipliers to study an Eulerian time stepping scheme for moving domain problems applied to a model problem where the d…
Using a deep neural network to predict the motion of under-resolved triangular rigid bodies in an incompressible flow
Henry von Wahl, Thomas Richter
We consider non-spherical rigid body particles in an incompressible fluid in the regime where the particles are too large to assume that they are simply transported with the fluid…
Falling balls in a viscous fluid with contact: Comparing numerical simulations with experimental data
Henry von Wahl, Thomas Richter, Stefan Frei +1
We evaluate a number of different finite element approaches for fluid-structure (contact) interaction problems against data from physical experiments. For this we take the data fro…
An unfitted Eulerian finite element method for the time-dependent Stokes problem on moving domains
Henry von Wahl, Thomas Richter, Christoph Lehrenfeld
We analyse a Eulerian Finite Element method, combining a Eulerian time-stepping scheme applied to the time-dependent Stokes equations using the CutFEM approach with inf-sup stable…
Numerical benchmarking of fluid-rigid body interactions
Henry von Wahl, Thomas Richter, Christoph Lehrenfeld +2
We propose a fluid-rigid body interaction benchmark problem, consisting of a solid spherical obstacle in a Newtonian fluid, whose centre of mass is fixed but is free to rotate. A n…