38 citations · 92 across the 8 of their papers we have counts for
10 papers
On the convergence of the regularized entropy-based moment method for kinetic equations
Graham W. Alldredge, Martin Frank, Jan Giesselmann
The entropy-based moment method is a well-known discretization for the velocity variable in kinetic equations which has many desirable theoretical properties but is difficult to im…
A Realizable Filtered Intrusive Polynomial Moment Method
Graham Alldredge, Martin Frank, Jonas Kusch +1
Intrusive uncertainty quantification methods for hyperbolic problems exhibit spurious oscillations at shocks, which leads to a significant reduction of the overall approximation qu…
A regularized entropy-based moment method for kinetic equations
Graham W. Alldredge, Martin Frank, Cory D. Hauck
We present a new entropy-based moment method for the velocity discretization of kinetic equations. This method is based on a regularization of the optimization problem defining the…
Maximum-principle-satisfying second-order Intrusive Polynomial Moment scheme
Jonas Kusch, Graham W. Alldredge, Martin Frank
Using standard intrusive techniques when solving hyperbolic conservation laws with uncertainties can lead to oscillatory solutions as well as nonhyperbolic moment systems. The Intr…
Robust Inversion Methods for Aerosol Spectroscopy
Tobias Kyrion, Graham Alldredge
The Fast Aerosol Spectrometer (FASP) is a device for spectral aerosol measurements. Its purpose is to safely monitor the atmosphere inside a reactor containment. First we describe…
An Approximate Model for Radiative Transfer in Slab Geometry
Graham Alldredge, Ruo Li, Weiming Li
We propose an approximate second order maximum entropy () model for radiative transfer in slab geometry. The model is based on the ansatz of the specific intensity in the form…
A realizability-preserving high-order kinetic scheme using WENO reconstruction for entropy-based moment closures of linear kinetic equations in slab geometry
Florian Schneider, Graham Alldredge, Jochen Kall
We develop a high-order kinetic scheme for entropy-based moment models of a one-dimensional linear kinetic equation in slab geometry. High-order spatial reconstructions are achieve…
A realizability-preserving discontinuous Galerkin scheme for entropy-based moment closures for linear kinetic equations in one space dimension
Graham Alldredge, Florian Schneider
We implement a high-order numerical scheme for the entropy-based moment closure, the so-called M model, for linear kinetic equations in slab geometry. A discontinuous Galerkin…
Higher order mixed moment approximations for the Fokker-Planck equation in one space dimension
Florian Schneider, Graham Alldredge, Martin Frank +1
We study mixed-moment models (full zeroth moment, half higher moments) for a Fokker-Planck equation in one space dimension. Mixed-moment minimum-entropy models are known to overcom…
Adaptive change of basis in entropy-based moment closures for linear kinetic equations
Graham W. Alldredge, Cory D. Hauck, Dianne P. O'Leary +1
Entropy-based (M_N) moment closures for kinetic equations are defined by a constrained optimization problem that must be solved at every point in a space-time mesh, making it impor…