290 citations · 376 across the 7 of their papers we have counts for
8 papers
Delta Redistribution: a variation of State Redistribution for steady-state embedded boundary computations
Marsha Berger, Andrew Giuliani
We present an algorithm for handling the small cell problem in Cartesian cut cell grids. The advantage of this variation is that it preserves the base scheme's steady state exactly…
A new provably stable weighted state redistribution algorithm
Marsha Berger, Andrew Giuliani
We propose a practical finite volume method on cut cells using state redistribution. Our algorithm is provably monotone, total variation diminishing, and GKS stable in many situati…
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…
A Weighted State Redistribution Algorithm for Embedded Boundary Grids
Andrew Giuliani, Ann S. Almgren, John B. Bell +3
State redistribution is an algorithm that stabilizes cut cells for embedded boundary grid methods. This work extends the earlier algorithm in several important ways. First, state r…
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…
A state redistribution algorithm for finite volume schemes on cut cell meshes
Marsha Berger, Andrew Giuliani
In this paper we develop a new technique, called \textit{state redistribution}, that allows the use of explicit time stepping when approximating solutions to hyperbolic conservatio…
Air-burst Generated Tsunamis
Marsha Berger, Jonathan Goodman
This paper examines the questions of whether smaller asteroids that burst in the air over water can generate tsunamis that could pose a threat to distant locations. Such air burst-…
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…