2 papers
math.NA2026
High order tracer variance stable transport with low order energy conserving dynamics for the thermal shallow water equations
David Lee, Kieran Ricardo, Tamara Tambyah
A high order discontinuous Galerkin method for the material transport of thermodynamic tracers is coupled to a low order mixed finite element solver in the context of the thermal s…
physics.flu-dyn2025
Energy and entropy conserving compatible finite elements with upwinding for the thermal shallow water equations
Tamara A. Tambyah, David Lee, Santiago Badia
In this work, we develop a new compatible finite element formulation of the thermal shallow water equations that conserves energy and mathematical entropies given by buoyancy-relat…