7 papers
A Hyperbolic Neural Closure for M1 Radiation Transfer
Bongseok Kim, Jiahao Zhang, Johannes Krotz +3
In radiation transfer simulations, an M1 method achieves substantial computational savings by replacing the full angular transport equation with a low-order moment system. Because…
Generative Monte Carlo Sampling for Constant-Cost Particle Transport
Joseph A. Farmer, Aidan Murray, Johannes Krotz +1
We present Generative Monte Carlo (GMC), a novel paradigm for particle transport simulation that integrates generative artificial intelligence directly into the stochastic solution…
Computer Simulation of Gel Formation in Colloidal Systems of Sticky Rods
Johannes Krotz
We develop and validate a simulation framework for colloidal gelation. We first reproduce the benchmark results of Santos, Campanella, and Carignano for spherical, gel-forming part…
Scatter-Limited Hybrid Monte Carlo, Deterministic Transport with Quasi-Monte Carlo Sampling
Johannes Krotz, Ryan G. McClarren
We present a hybrid method for time-dependent particle transport that combines Monte Carlo (MC) estimation with a deterministic discrete ordinates (\(S_N\)) solve, augmented by qua…
Curvilinear coordinates and curvature in radiative transport
Johannes Krotz, Ryan G. McClarren
We derive a general expression for the streaming term in radiative transport equa- tions and other transport problems when formulated in curvilinear coordinates, emphasizing coordi…
A Dynamic Likelihood Approach to Filtering for Advection-Diffusion Dynamics
Johannes Krotz, Juan M. Restrepo, Jorge Ramirez
A Bayesian data assimilation scheme is formulated for advection-dominated advective and diffusive evolutionary problems, based upon the Dynamic Likelihood (DLF) approach to filteri…