4 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…
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…
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…
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…