4 papers
A numerical stabilization scheme for the shallow shelf approximation
Tilda Westling Dolling, A. Clara J. Henry, Josefin Ahlkrona
We present the Thickness Stabilization Scheme (TSS), a numerical stabilization scheme suitable for the Shallow Shelf Approximation (SSA), one of the most widely-used models for lar…
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…
Well-posedness of the Stokes problem under modified pressure Dirichlet boundary conditions
Igor Tominec, Josefin Ahlkrona, Malte Braack
This paper shows that the Stokes problem is well-posed when velocity and pressure simultaneously vanish on the domain boundary. This result is achieved by extending NeÄas' inequal…
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…