2 papers
math.NA2026
A Second-Order Semi-Implicit Projection Time-Stepping Scheme for the Shallow-Water Equations on the Sphere Using Compatible Finite Elements
Karina Kowalczyk, Colin Cotter
We propose a second-order, semi-implicit time-stepping scheme for the shallow-water equations on the sphere discretised with compatible finite elements. The scheme splits the advec…
math.AP2020
Darcy's law as low Mach and homogenization limit of a compressible fluid in perforated domains
Richard M. Höfer, Karina Kowalczyk, Sebastian Schwarzacher
We consider the homogenization limit of the compressible barotropic Navier-Stokes equations in a three-dimensional domain perforated by periodically distributed identical particles…