79 citations · 165 across the 13 of their papers we have counts for
13 papers
Reduced Order Modeling for Tsunami Forecasting with Bayesian Hierarchical Pooling
Shane X. Coffing, John Tipton, Arvind T. Mohan +1
Reduced-order models (ROMs) can represent spatiotemporal processes in significantly fewer dimensions and can often be solved many orders of magnitude faster than their governing pa…
Attention-Based Reconstruction of Full-Field Tsunami Waves from Sparse Tsunameter Networks
Edward McDugald, Arvind Mohan, Darren Engwirda +2
We investigate the potential of an attention-based neural network architecture, the Senseiver, for sparse sensing in tsunami forecasting. Specifically, we focus on the Tsunami Data…
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…
Fast Mapping onto Census Blocks
Jeremy Kepner, Andreas Kipf, Darren Engwirda +21
Pandemic measures such as social distancing and contact tracing can be enhanced by rapidly integrating dynamic location data and demographic data. Projecting billions of longitude…
Generalised primal-dual grids for unstructured co-volume schemes
Darren Engwirda
The generation of high-quality staggered unstructured grids is considered, leading to the development of a new optimisation-based strategy designed to construct weighted `Regular-P…
JIGSAW-GEO (1.0): locally orthogonal staggered unstructured grid generation for general circulation modelling on the sphere
Darren Engwirda
An algorithm for the generation of non-uniform, locally-orthogonal staggered unstructured spheroidal grids is described. This technique is designed to generate very high-quality st…
High-order accurate finite-volume formulations for the pressure gradient force in layered ocean models
Darren Engwirda, Maxwell Kelley, John Marshall
The development of a set of high-order accurate finite-volume formulations for evaluation of the pressure gradient force in layered ocean models is described. A pair of new schemes…
Conforming restricted Delaunay mesh generation for piecewise smooth complexes
Darren Engwirda
A Frontal-Delaunay refinement algorithm for mesh generation in piecewise smooth domains is described. Built using a restricted Delaunay framework, this new algorithm combines a num…
A WENO-type slope-limiter for a family of piecewise polynomial methods
Darren Engwirda, Maxwell Kelley
A new, high-order slope-limiting procedure for the Piecewise Parabolic Method (PPM) and the Piecewise Quartic Method (PQM) is described. Following a Weighted Essentially Non-Oscill…
Multi-resolution unstructured grid-generation for geophysical applications on the sphere
Darren Engwirda
An algorithm for the generation of non-uniform unstructured grids on ellipsoidal geometries is described. This technique is designed to generate high quality triangular and polygon…
Size-optimal Steiner points for Delaunay-refinement on curved surfaces
Darren Engwirda, David Ivers
An extension of the restricted Delaunay-refinement algorithm for surface mesh generation is described, where a new point-placement scheme is introduced to improve element quality i…