138 citations · 481 across the 13 of their papers we have counts for
13 papers
Application of Continuous Data Assimilation in High-Resolution Ocean Modeling
Adam Larios, Mark R. Petersen, Collin Victor
We demonstrate a formulation of the Azouani-Olson-Titi (AOT) algorithm in the MPAS-Ocean implementation of the primitive equations of the ocean, presenting global ocean simulations…
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…
An unstructured CD-grid variational formulation for sea ice dynamics
Giacomo Capodaglio, Mark R. Petersen, Adrian K. Turner +1
For the numerical simulation of earth system models, Arakawa grids are largely employed. A quadrilateral mesh is assumed for their classical definition, and different types of grid…
Local time stepping for the shallow water equations in MPAS
Giacomo Capodaglio, Mark Petersen
We assess the performance of a set of local time-stepping (LTS) schemes for the shallow water equations implemented in the Model for Prediction Across Scales (MPAS). The goal of LT…
On the Spatial and Temporal Order of Convergence of Hyperbolic PDEs
Siddhartha Bishnu, Mark Petersen, Bryan Quaife
In this work, we determine the full expression for the global truncation error of hyperbolic partial differential equations (PDEs). In particular, we use theoretical analysis and s…