From the 1 of 6 linked papers with an AI index.
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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…
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…
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…
Strongly stable dual-pairing summation by parts finite difference schemes for the vector invariant nonlinear shallow water equations -- I: Numerical scheme and validation on the plane
Justin Kin Jun Hew, Kenneth Duru, Stephen Roberts +2
We present an energy/entropy stable and high order accurate finite difference (FD) method for solving the nonlinear (rotating) shallow water equations (SWEs) in vector invariant fo…
Helmholtz preconditioning for the compressible Euler equations using mixed finite elements with Lorenz staggering
David Lee, Alberto F. MartÃn, 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…