6 citations · 7 across the 4 of their papers we have counts for
4 papers
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…
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…
Multidimensional method-of-lines transport for atmospheric flows over steep terrain using arbitrary meshes
James Shaw, Hilary Weller, John Methven +1
Including terrain in atmospheric models gives rise to mesh distortions near the lower boundary that can degrade accuracy and challenge the stability of transport schemes. Multidime…
Dimension Splitting and a Long Time-Step Multi-Dimensional Scheme for Atmospheric Transport
Yumeng Chen, Hilary Weller, Stephen Pring +1
Dimensionally split advection schemes are attractive for atmospheric modelling due to their efficiency and accuracy in each spatial dimension. Accurate long time-steps can be achie…