Characterization, prediction, and ultimately planning and control for large environmental systems — from geophysical phenomena to the ocean and atmosphere — is frustrated by highly nonlinear behavior over a large range of temporal and spatial scales, many system parameters defined over extensive domains, and a broad variety of physical phenomena/equations: existing modeling and data assimilation approaches are not viable; and current frameworks for uncertainty assessment are of insufficient rigor. New computational approaches can support characterization, forecasting, planning and control of very large nonlinear environmental systems with applications in ocean, atmospheric and climate modeling, subsurface processes, and many more.
Multiscale physical and biological dynamics in the Philippines Archipelago: Predictions and processes
PFJ Lermusiaux, PJ Haley, Jr, WG Leslie, A Agarwal, O Logutov, and LJ Burton. Oceanography, 24(1):70-89, 2011.
Lagoon of Venice ecosystem: Seasonal dynamics and environmental guidance with uncertainty analyses and error subspace data assimilation
G Cossarini, PFJ Lermusiaux, and C Solidoro. Journal of Geophysical Research, 114: C06026, 2009
Forecasting and reanalysis in the Monterey Bay/California current region for the Autonomous Ocean Sampling Network-II experiment
PJ Haley, Jr, PFJ Lermusiaux, AR Robinson, WG Leslie, O Logutov, G Cossarini, XS Liang, P Moreno, SR Ramp, JD Doyle, J Bellingham, F Chavez, and S Johnston. Deep Sea Research Part II: Topical Studies in Oceanography, 56(3-5):127-148, 2009.
A phase field model of unsaturated flow
L Cueto-Felgueroso & R Juanes. Water Resources Research, 45:Article Number W10409, 2009.
Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems
YM Marzouk and HN Najm. Journal of Computational Physics, 228(6): 1862–1902, 2009.
Hessian-based model reduction for large-scale systems with initial-condition inputs
O Bashir, K Willcox, O Ghattas, B van Bloemen Waanders, and J Hill. International Journal for Numerical Methods in Engineering, 73(6):844-868, 2008.
Nonlocal interface dynamics and pattern formation in gravity-driven unsaturated flow through porous media
L Cueto-Felgueroso & R Juanes. Physical Review Letters, 101(24): Article Number 244504, 2008.
Impact of relative permeability hysteresis on geological CO2 storage
R Juanes, EJ Spiteri, FM Orr, Jr, & MJ Blunt. Water Resources Research, 42(12): Article Number W12418, 2006.