Browsing Applied Mathematics, Department of by Title
Now showing items 3-22 of 34
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A class of approximate Riemann Solvers and their relation to relaxation schemes
(Elsevier/Academic Press, 2001-09-30)We show that a simple relaxation scheme of the type proposed by Jin and Xin [Comm. Pure Appl. Math.48, 235 (1995)] can be reinterpreted as defining a particular approximate Riemann solver for the original system of m ... -
Coastal marsh stratigraphy as an indicator of past earthquakes, Puget Lowland, Washington State
(2011-03)In coastal wetlands fringing Puget Sound lies evidence for large earthquakes 1,100 years ago and subsequent subsidence. This study uses sedimentologic, stratigraphic, and geomorphic tools, as well as tsunami modeling, ... -
CORRECTION TO THE ARTICLE A COMPARISON OF THE EXTENDED FINITE ELEMENT METHOD WITH THE IMMERSED INTERFACE METHOD FOR ELLIPTIC EQUATIONS WITH DISCONTINUOUS COEFFICIENTS AND SINGULAR SOURCES BY VAUGHAN ET AL.
(2008)A recent paper by Vaughan, Smith, and Chopp [Comm. App. Math. &and Comp. Sci. 1 (2006), 207–228] reported numerical results for three examples using the immersed interface method (IIM) and the extended finite element ... -
Developing a Warning System for Inbound Tsunamis from the Cascadia Subduction Zone
(2018-01-07)Real-time tsunami warning in the nearfield is considerably more difficult than producing warnings for distant events. Although in some cases strong shaking will provide the only warning, there are several situations in ... -
Effects of Flow Shielding and Channeling on Tsunami-Induced Loading of Coastal Structures
Prior efforts to numerically model the complex fluid-structure interactions that occur as tsunami inundations pass through coastal communities have failed to consistently reproduce experimentally-measured flow velocities ... -
Efficient Tsunami Simulation at Local and Global Scales
Tsunami hazard evaluation and mitigation is of great importance to coastal communities around the world, especially after the frequent occurrence of large tsunamis in the past two decades. Many physical phenomena need to ... -
Finite volume methods and adaptive refinement for global tsunami propagation and local inundation
(2006)The shallow water equations are a commonly accepted approximation governing tsunami propagation. Numerically capturing certain features of local tsunami inundation requires solving these equations in their physically ... -
Finite Volume Methods for the Multilayer Shallow Water Equations with Applications to Storm Surges
(2011-07-11)Coastal hazards related to strong storms such as hurricanes and typhoons are one of the most frequently recurring and wide spread hazards to coastal communities. Storm surges are among the most devastating effects of these ... -
Finite volume methods for Tsunamis generated by submarine landslides
(2014-04-30)Submarine landslides can generate tsunamis, and the generated waves can be catastrophic when a large volume of landslide material is involved. Moreover, large earthquakes are often accompanied by submarine landslides that ... -
GeoClaw Model Tsunamis Compared to Tide Gauge Results Final Report
(2018-11-03)The purpose of this project is to compare GeoClaw tsunami model results to detided tide gauge results at multiple destinations for each of several tsunamis. In particular, we are interested in the suitability of GeoClaw ... -
Green's Law and the Riemann Problem in Layered Media
The propagation of long waves onto a continental shelf is of great interest in tsunami modeling, where understanding the amplification of waves during shoaling is of significant importance. When the linearized shallow water ... -
High-resolution finite volume methods for dusty gas jets and plumes
(2006)We consider a model for dusty gas flow that consists of the compressible Euler equations for the gas coupled to a similar (but pressureless) system of equations for the mass, momentum, and energy of the dust. These sets ... -
High-resolution rotated grid method for conservation laws with embedded geometries
(2005)We develop a second-order rotated grid method for the approximation of time dependent solutions of conservation laws in complex geometry using an underlying Cartesian grid. Stability for time steps adequate for the ... -
Issues Encountered with ASCE Compatibility Criteria
(2019-05)The State of Washington is assisting at-risk coastal communities that have included the design and construction of tsunami vertical evacuation structures in their hazard mitigation plans. Washington State has not formally ... -
Modeled tsunami in Lake Washington from hypothetical ruptures on the Seattle Fault
(2020-03)Tsunami deposits from an earthquake on the Seattle fault have been found around the Puget Sound area. Tsunami modeling has been conducted in Puget Sound with the Seattle fault as the initiating event, however published ... -
Modeling Study of a Proposed Vertical Evacuation Structure Site for the Shoalwater Bay Tribe Final Project Report
(2020-02)A Maximum Considered Tsunami (MCT) scenario was developed that includes projected sea level rise of 0.47 m over 75 years and a magnitude 9 tsunamigenic earthquake on the Cascadia Subduction Zone; development of the scenario ... -
Preliminary Modeling Study of a Vertical Evacuation Structure Site for the Aberdeen School District
(2020-02)A Maximum Considered Tsunami (MCT) scenario was developed for a magnitude 9 tsunamigenic earthquake on the Cascadia Subduction Zone. The development of this MCT scenario is compliant with our current understanding of the ... -
Probabilistic Source Selection for the Cascadia Subduction Zone
(2017-03-19)This report has been submitted to FEMA Region IX as a final project report for a project on developing new methodologies for Probabilistic Tsunami Hazard Assessment (PTHA). We propose a methodology for taking a large number ... -
Probabilistic Tsunami Hazard Assessment (PTHA) for Crescent City, CA
(2014-09-11)This report builds on and supercedes Phase I of a demonstration Probabilistic Tsunami Hazard Assessment (PTHA) study of Crescent City, California [23], which developed an improved methodology for PTHA and associated ... -
Probabilistic Tsunami Hazard Assessment (PTHA) for Crescent City, CA. Final Report for Phase I
(University of Washington Department of Applied Mathmatics, 2013-02-02)This demonstration Probabilistic Tsunami Hazard Assessment (PTHA) study of Crescent City, California was funded by BakerAECOM and motivated by FEMA's desire to explore methods to improve products of the FEMA Risk Mapping, ...