The EPrint Collection is a permanent and freely available archive of preprints and postprints of work by faculty and students associated with the Department of Applied Mathematics at the University of Washington.
Gonzalez, Frank I.; LeVeque, Randall
J., 1955-; Adams, Loyce M.(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, ...
George, David L.; LeVeque, Randall J., 1955-(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 ...
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 ...
Beale, J. T.
(John Thomas), 1947-; Chopp, David
L.; LeVeque, Randall
J., 1955-; Li, Zhilin,
1956-(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 method ...
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 ...
LeVeque, Randall
J., 1955-; Bale, Derek S.; Mitran, Sorin; Rossmanith, James A.(Society for Industrial and Applied Mathematics, 2002)
We study a general approach to solving conservation laws of the form qt+f(q,x)x=0, where the flux function f(q,x) has explicit spatial variation. Finite-volume methods are used in which the flux is discretized spatially, ...
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 ...
Langseth, Jan Olav; LeVeque, Randall
J., 1955-(Elsevier, 2000-11-20)
A class of wave propagation algorithms for three-dimensional conservation laws and other hyperbolic systems is developed. These unsplit finite-volume methods are based on solving one-dimensional Riemann problems at the ...
An extension of the wave propagation algorithm first introduced by LeVeque [J. Comput. Phys. 131 (1997) 327] is developed for hyperbolic systems on a general curved manifold. This extension is important in a variety of ...