3 papers
math.NA2026
A perfectly matched layer for damping vertically propagating waves in the compressible Boussinesq equations
Timothy C. Andrews, Kenneth Duru, David Lee
This paper introduces a new application of the perfectly matched layer (PML) for mitigating model top wave reflections in geophysical fluid models. Typically, a strong Laplacian or…
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…