18 citations · 29 across the 4 of their papers we have counts for
4 papers
Viability of Tensor Train Methods for Geophysical Fluid Dynamics
Jeremy Lilly, Derek DeSantis, Mark R. Petersen
Tensor train (TT) methods have recently gained popularity for accelerating the solving of systems of PDEs. Here, we evaluate the performance of TT methods in the context of geophys…
Local Time-Stepping for the Shallow Water Equations using CFL Optimized Forward-Backward Runge-Kutta Schemes
Jeremy R. Lilly, Giacomo Capodaglio, Darren Engwirda +2
The Courant-Friedrichs-Lewy (CFL) condition is a well known, necessary condition for the stability of explicit time-stepping schemes that effectively places a limit on the size of…
CFL Optimized Forward-Backward Runge-Kutta Schemes for the Shallow Water Equations
Jeremy R. Lilly, Darren Engwirda, Giacomo Capodaglio +2
We present the formulation and optimization of a Runge-Kutta-type time-stepping scheme for solving the shallow water equations, aimed at substantially increasing the effective allo…
Storm Surge Modeling as an Application of Local Time-stepping in MPAS-Ocean
Jeremy R. Lilly, Giacomo Capodaglio, Mark R. Petersen +3
This paper presents the first scientific application of local time-stepping (LTS) schemes in the Model for Prediction Across Scales-Ocean (MPAS-O). We use LTS schemes in a single-l…