290 citations · 496 across the 21 of their papers we have counts for
22 papers
Implicit Adaptive Mesh Refinement for Dispersive Tsunami Propagation
Marsha J. Berger, Randall J. LeVeque
We present an algorithm to solve the dispersive depth-averaged Serre-Green-Naghdi (SGN) equations using patch-based adaptive mesh refinement. These equations require adding additio…
Towards Adaptive Simulations of Dispersive Tsunami Propagation from an Asteroid Impact
Marsha J. Berger, Randall J. LeVeque
The long-term goal of this work is the development of high-fidelity simulation tools for dispersive tsunami propagation. A dispersive model is especially important for short wavele…
Efficient Tsunami Modeling on Adaptive Grids with Graphics Processing Units (GPUs)
Xinsheng Qin, Randall LeVeque, Michael Motley
Solving the shallow water equations efficiently is critical to the study of natural hazards induced by tsunami and storm surge, since it provides more response time in an early war…
Shoaling on Steep Continental Slopes: Relating Transmission and Reflection Coefficients to Green's Law
Jithin D. George, David I. Ketcheson, Randall J. LeVeque
The propagation of long waves onto a continental shelf is of great interest in tsunami modeling and other applications where understanding the amplification of waves during shoalin…
A path integral method for solution of the wave equation with continuously-varying coefficients
Jithin D. George, David I. Ketcheson, Randall J. LeVeque
A new method of solution is proposed for solution of the wave equation in one space dimension with continuously-varying coefficients. By considering all paths along which informati…
Analysis and Performance Evaluation of Adjoint-Guided Adaptive Mesh Refinement for Linear Hyperbolic PDEs Using Clawpack
Brisa N Davis, Randall J LeVeque
Adaptive mesh refinement (AMR) is often used when solving time-dependent partial differential equations using numerical methods. It enables time-varying regions of much higher reso…
Accelerating wave-propagation algorithms with adaptive mesh refinement using the Graphics Processing Unit (GPU)
Xinsheng Qin, Randall J. LeVeque, Michael R. Motley
Clawpack is a library for solving nonlinear hyperbolic partial differential equations using high-resolution finite volume methods based on Riemann solvers and limiters. It supports…
Transport reversal for model reduction of hyperbolic partial differential equations
Donsub Rim, Scott Moe, Randall J. LeVeque
Snapshot matrices built from solutions to hyperbolic partial differential equations exhibit slow decay in singular values, whereas fast decay is crucial for the success of projecti…
A High-Resolution Finite Volume Seismic Model to Generate Seafloor Deformation for Tsunami Modeling
Christopher J. Vogl, Randall J. LeVeque
A high-resolution finite volume method approach to incorporating time-dependent slip across rectangular subfaults when modeling general fault geometry is presented. The fault slip…
Generating Random Earthquake Events for PTHA
Randall J. LeVeque, Knut Waagan, Frank I. González +2
In order to perform probabilistic tsunami hazard assessment (PTHA) based on subduction zone earthquakes, it is necessary to start with a catalog of possible future events along wit…
Adjoint Methods for Guiding Adaptive Mesh Refinement in Tsunami Modeling
Brisa N. Davis, Randall J. LeVeque
One difficulty in developing numerical methods for tsunami modeling is the fact that solutions contain regions where much higher resolution is required than elsewhere in the domain…
Adjoint Methods for Guiding Adaptive Mesh Refinement in Wave Propagation Problems
Brisa N. Davis, Randall J. LeVeque
One difficulty in developing numerical methods for hyperbolic systems of conservation laws is the fact that solutions often contain regions where much higher resolution is required…
Computational study of shock waves propagating through air-plastic-water interfaces
Mauricio J. Del Razo, Randall J. LeVeque
The following study is motivated by experimental studies in traumatic brain injury (TBI). Recent research has demonstrated that low intensity non-impact blast wave exposure frequen…
Computational and in vitro studies of blast-induced blood-brain barrier disruption
Mauricio J. Del Razo, Yoichi Morofuji, James S. Meabon +6
There is growing concern that blast-exposed individuals are at risk of developing neurological disorders later in life. Therefore, it is important to understand the dynamic propert…
Validating Velocities in the GeoClaw Tsunami Model using Observations Near Hawaii from the 2011 Tohoku Tsunami
M. E. M. Arcos, Randall J. LeVeque
The ability to measure, predict, and compute tsunami flow velocities is of importance in risk assessment and hazard mitigation. Substantial damage can be done by high velocity flow…
The Pattern Method for Incorporating Tidal Uncertainty Into Probabilistic Tsunami Hazard Assessment (PTHA)
Loyce M. Adams, Randall J. LeVeque, Frank I. González
In this paper we describe a general framework for incorporating tidal uncertainty into probabilistic tsunami hazard assessment and propose the Pattern Method and a simpler special…
High-Resolution Finite Volume Modeling of Wave Propagation in Orthotropic Poroelastic Media
Grady I. Lemoine, M. Yvonne Ou, Randall J. LeVeque
Poroelasticity theory models the dynamics of porous, fluid-saturated media. It was pioneered by Maurice Biot in the 1930s through 1960s, and has applications in several fields, inc…
Computational Models of Material Interfaces for the Study of Extracorporeal Shock Wave Therapy
Kirsten Fagnan, Randall J. LeVeque, Thomas J. Matula
Extracorporeal Shock Wave Therapy (ESWT) is a noninvasive treatment for a variety of musculoskeletal ailments. A shock wave is generated in water and then focused using an acoustic…
High-order Wave Propagation Algorithms for Hyperbolic Systems
David I. Ketcheson, Matteo Parsani, Randall J. LeVeque
We present a finite volume method that is applicable to hyperbolic PDEs including spatially varying and semilinear nonconservative systems. The spatial discretization, like that of…
Shock Dynamics in Layered Periodic Media
David I Ketcheson, Randall J. LeVeque
Solutions of constant-coefficient nonlinear hyperbolic PDEs generically develop shocks, even if the initial data is smooth. Solutions of hyperbolic PDEs with variable coefficients…
Universality in the run-up of shock waves to the surface of a star
Carsten Gundlach, Randall J Leveque
We investigate the run-up of a shock wave from inside to the surface of a perfect fluid star in equilibrium and bounded by vacuum. Near the surface we approximate the fluid motion…
The GeoClaw software for depth-averaged flows with adaptive refinement
Marsha J. Berger, David L. George, Randall J. LeVeque +1
Many geophysical flow or wave propagation problems can be modeled with two-dimensional depth-averaged equations, of which the shallow water equations are the simplest example. We d…