5 papers
Data driven non-equilibrium moist phase exchanges for atmospheric convection within a discontinuous Galerkin model of the compressible Euler equations
David Lee, Kieran Ricardo, Junwei Lyu
The paper trains a neural network to predict mass exchanges among vapor, liquid, and ice in atmospheric convection and embeds it in a discontinuous Galerkin model of the compressib…
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…
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…
Consistency analysis for combined homogenization and shallow water limit of water waves
Antoine Gloria, David Lee
We consider a shallow water model in a homogenization framework. For periodic topographies, Craig, Lannes and Sulem have established a consistency result under some non-resonance c…
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…