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physics.ao-ph2024
Thermodynamic consistency and structure-preservation in summation by parts methods for the moist compressible Euler equations
Kieran Ricardo, David Lee, Kenneth Duru
Moist thermodynamics is a fundamental driver of atmospheric dynamics across all scales, making accurate modeling of these processes essential for reliable weather forecasts and cli…
physics.flu-dyn2024
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…
math.NA2024
Helmholtz preconditioning for the compressible Euler equations using mixed finite elements with Lorenz staggering
David Lee, Alberto F. Martín, Kieran Ricardo
Implicit solvers for atmospheric models are often accelerated via the solution of a preconditioned system. For block preconditioners this typically involves the factorisation of th…