3 papers
math.NA2026
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…
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…
math.NA2025
Scalable ADER-DG Transport Method with Polynomial Order Independent CFL Limit
Kieran Ricardo, Kenneth Duru
Discontinuous Galerkin (DG) methods are known to suffer from increasingly restrictive explicit time-step constraints as the polynomial order increases, limiting their efficiency at…