2 papers
physics.comp-ph2020
Second-order discontinuous Galerkin flood model: comparison with industry-standard finite volume models
Janice Lynn Ayog, Georges Kesserwani, James Shaw +2
Finite volume (FV) numerical solvers of the two-dimensional shallow water equations are core to industry-standard flood models. The second-order Discontinuous Galerkin (DG2) altern…
math.NA2019
Stochastic Galerkin finite volume shallow flow model: well-balanced treatment over uncertain topography
James Shaw, Georges Kesserwani
Stochastic Galerkin methods can quantify uncertainty at a fraction of the computational expense of conventional Monte Carlo techniques, but such methods have rarely been studied fo…