A5089253713- Advanced Numerical Methods in Computational Mathematics
- Tropical and Extratropical Cyclones Research
- Computational Fluid Dynamics and Aerodynamics
- Coastal and Marine Dynamics
- Ocean Waves and Remote Sensing
- Meteorological Phenomena and Simulations
- Groundwater flow and contamination studies
- Advanced Mathematical Modeling in Engineering
- Electromagnetic Simulation and Numerical Methods
- Differential Equations and Numerical Methods
- Numerical methods for differential equations
- Flood Risk Assessment and Management
- Oceanographic and Atmospheric Processes
- Lattice Boltzmann Simulation Studies
- Numerical methods in engineering
- Reservoir Engineering and Simulation Methods
- Probabilistic and Robust Engineering Design
- Hydraulic Fracturing and Reservoir Analysis
- Model Reduction and Neural Networks
- Numerical methods in inverse problems
- Soil and Unsaturated Flow
- Simulation Techniques and Applications
- Distributed and Parallel Computing Systems
- Hydrology and Watershed Management Studies
- Aeolian processes and effects
The University of Texas at Austin
2015-2024
University of Lisbon
2022-2024
University of Notre Dame
2023
Tohoku University
2023
ORCID
2020-2021
University of Science and Technology
2021
Mechanics' Institute
2006-2017
Oceanography Society
2016
Delft University of Technology
1994-2013
King Abdullah University of Science and Technology
2013
Abstract Southern Louisiana is characterized by low-lying topography and an extensive network of sounds, bays, marshes, lakes, rivers, inlets that permit widespread inundation during hurricanes. A basin- to channel-scale implementation the Advanced Circulation (ADCIRC) unstructured grid hydrodynamic model has been developed accurately simulates hurricane storm surge, tides, river flow in this complex region. This accomplished defining a domain computational resolution appropriate for...
Abstract A coupled system of wind, wind wave, and coastal circulation models has been implemented for southern Louisiana Mississippi to simulate riverine flows, tides, waves, hurricane storm surge in the region. The combines NOAA Hurricane Research Division Wind Analysis System (H*WIND) Interactive Objective Kinematic (IOKA) kinematic analyses, Wave Model (WAM) offshore Steady-State Irregular (STWAVE) nearshore wave models, Advanced Circulation (ADCIRC) basin channel-scale unstructured grid...
Abstract Hurricanes Katrina and Rita were powerful storms that impacted southern Louisiana Mississippi during the 2005 hurricane season. In Part I, authors describe validate a high-resolution coupled riverine flow, tide, wind, wave, storm surge model for this region. Herein, is used to examine evolution of these hurricanes in more detail. Synoptic histories show how tracks, winds, waves interacted with topography, protruding River delta, east–west shorelines, manmade structures, low-lying...
Natural hazards engineering plays an important role in minimizing the effects of natural on society through design resilient and sustainable infrastructure. The DesignSafe cyberinfrastructure has been developed to enable facilitate transformative research engineering, which necessarily spans across multiple disciplines can take advantage advancements computation, experimentation, data analysis. allows researchers more effectively share find using cloud services, perform numerical simulations...
A domain decomposition algorithm for numerically solving the heat equation in one and two space dimensions is presented.In this procedure, interface values between subdomains are found by an explicit finite difference formula.Once these calculated, interior determined backward differencing time.A natural extension of method allows use different time steps subdomains.Maximum norm error estimates procedures derived, which demonstrate that incurred at interfaces higher order discretization parameters.
We present a two-level finite difference scheme for the approximation of nonlinear parabolic equations. Discrete inner products and lowest-order Raviart--Thomas approximating space are used in expanded mixed method order to develop scheme. Analysis is given assuming an implicit time discretization. In this scheme, full problem solved on "coarse" grid size H. The nonlinearities areexpanded about coarse solution appropriate interpolation operator provide values fine terms superconvergent node...
Abstract Hurricane Gustav (2008) made landfall in southern Louisiana on 1 September 2008 with its eye never closer than 75 km to New Orleans, but waves and storm surge threatened flood the city. Easterly tropical-storm-strength winds impacted region east of Mississippi River for 12–15 h, allowing early develop up 3.5 m there enter river city’s navigation canals. During landfall, shifted from easterly southerly, resulting late development propagation over more 70 marshes river’s west bank, 40...
Hurricane Ike (2008) made landfall near Galveston, Texas, as a moderate intensity storm. Its large wind field in conjunction with the Louisiana‐Texas coastline's broad shelf and scale concave geometry generated waves surge that impacted over 1000 km of coastline. Ike's complex varied wave response physics included: capture by protruding Mississippi River Delta; strong influence radiation stress gradients on Delta adjacent to break; development driven shore‐parallel currents associated...
This paper summarizes the findings of a workshop convened in United States 2018 to discuss methods coastal and estuarine modeling propose key areas research development needed improve their accuracy reliability. The focus this is on physical processes, we provide an overview current state-of-the-art based presentations discussions at meeting, which revolved around four primary themes parameterizations, numerical methods, in-situ remote-sensing measurements, high-performance computing. A...
We present an expanded mixed finite element method for solving second-order elliptic partial differential equations on geometrically general domains. For the lowest-order Raviart--Thomas approximating spaces, we use quadrature rules to reduce cell-centered differences, possibly enhanced with some face-centered pressures. This substantially reduces computational complexity of problem a symmetric, positive definite system essentially only as many unknowns elements. Our new handles shape...
We present an analysis of expanded mixed finite element methods applied to Richards' equation, a nonlinear parabolic partial differential equation modeling the flow water into variably saturated porous medium. consider full range completely unsaturated media. In case lowest order Raviart--Thomas spaces and all possible saturations, we bound H-1-norm error in capacity terms approximation error. This estimate uses time-integrated scheme Kirchhoff transformation handle degeneracy flow. Optimal...
Improved error estimates are derived for a finite-element modified method of characteristics coupled system partial differential equations modeling flow in porous media. These results improve upon previously two respects: first, an optimal convergence rate is demonstrated the case positive definite diffusion coefficient with weaker norm assumptions than before, and second, under assumption only semidefinite coefficient. Extensions include approximation velocity by mixed method.