4 papers · 1 filter
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…
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…