4 papers · 1 filter
A Stable Mixed FE Method for Nearly Incompressible Linear Elastostatics
Eirik Valseth, Albert Romkes, Austin R. Kaul +1
We present a new, stable, mixed finite element (FE) method for linear elastostatics of nearly incompressible solids. The method is the automatic variationally stable FE (AVS-FE) me…
Discontinuous Galerkin methods for a dispersive wave hydro-sediment-morphodynamic model
Kazbek Kazhyken, Juha Videman, Clint Dawson
A dispersive wave hydro-sediment-morphodynamic model developed by complementing the shallow water hydro-sediment-morphodynamic (SHSM) equations with the dispersive term from the Gr…
Discontinuous Galerkin methods for a dispersive wave hydro-morphodynamic model with bed-load transport
Kazbek Kazhyken, Juha Videman, Clint Dawson
A dispersive wave hydro-morphodynamic model coupling the Green-Naghdi equations (the hydrodynamic part) with the sediment continuity Exner equation (the morphodynamic part) is pres…
Adaptive Total Variation Stable Local Timestepping for Conservation Laws
Maximilian Bremer, John Bachan, Cy Chan +1
This paper proposes a first-order total variation diminishing (TVD) treatment for coarsening and refining of local timestep size in response to dynamic local variations in wave spe…