46 citations · 221 across the 14 of their papers we have counts for
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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…
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…
A two-dimensional stabilized discontinuous Galerkin method on curvilinear embedded boundary grids
Andrew Giuliani
We propose a state redistribution method for high order discontinuous Galerkin methods on curvilinear embedded boundary grids. State redistribution relaxes the overly restrictive C…
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…