2 papers
physics.flu-dyn2025
A Lagrangian method for solving the spherical shallow water equations using power diagrams
Philip Caplan, Otis Milliken, Toby Pouler +3
Numerical simulations of the air in the atmosphere and water in the oceans are essential for numerical weather prediction. The state-of-the-art for performing these fluid simulatio…
cs.CG2021
Higher-dimensional power diagrams for semi-discrete optimal transport
Philip Claude Caplan
Efficient algorithms for solving optimal transport problems are important for measuring and optimizing distances between functions. In the semi-discrete context, this problem…