3 papers
math.NA2025
H(curl)-based approximation of the Stokes problem with weakly enforced no-slip boundary conditions
Wietse M. Boon, Wouter Tonnon, Enrico Zampa
In this work, we show how to impose no-slip boundary conditions for an H(curl)-based formulation for incompressible Stokes flow, which is used in structure-preserving discretizatio…
math.NA2024
H(curl)-based approximation of the Stokes problem with slip boundary conditions
Wietse M. Boon, Ralf Hiptmair, Wouter Tonnon +1
Reformulating the incompressible Stokes equations with the velocity sought in H(curl) has recently emerged as a promising approach for the design of helicity-preserving schemes in…
math.NA2023
Semi-Lagrangian Finite-Element Exterior Calculus for Incompressible Flows
Wouter Tonnon, Ralf Hiptmair
We develop a mesh-based semi-Lagrangian discretization of the time-dependent incompressible Navier-Stokes equations with free boundary conditions recast as a non-linear transport p…