2 papers
math.NA2025
Stability analysis of the free-surface Stokes problem and an unconditionally stable explicit scheme
Igor Tominec, Lukas Lundgren, André Löfgren +1
Accurate simulations of ice sheet dynamics, mantle convection, lava flow, and other highly viscous free-surface flows involve solving the coupled Stokes/free-surface equations. In…
math.NA2024
A potential energy conserving finite element method for turbulent variable density flow: application to glacier-fjord circulation
Lukas Lundgren, Christian Helanow, Jonathan Wiskandt +2
We introduce a continuous Galerkin finite element discretization of the non-hydrostatic Boussinesq approximation of the Navier-Stokes equations, suitable for various applications s…