8 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…
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 review of low-rank methods for time-dependent kinetic simulations
Lukas Einkemmer, Katharina Kormann, Jonas Kusch +2
Time-dependent kinetic models are ubiquitous in computational science and engineering. The underlying integro-differential equations in these models are high-dimensional, comprised…
Using Deep Operators to Create Spatio-temporal Surrogates for Dynamical Systems under Uncertainty
Jichuan Tang, Patrick T. Brewick, Ryan G. McClarren +1
Spatio-temporal data, which consists of responses or measurements gathered at different times and positions, is ubiquitous across diverse applications of civil infrastructure. Whil…
Fast, Accurate Numerical Evaluation of Incomplete Planck Integrals
Whit Lewis, Ryan G. McClarren
Methods for computing the integral of the Planck blackbody function over a finite spectral range, the so-called incomplete Planck integral, are necessary to perform multigroup radi…
Collision-Based Hybrid Method for Two-Dimensional Neutron Transport Problems
Ben Whewell, Ryan G. McClarren
A collision-based hybrid method for the discrete ordinates approximation of the multigroup neutron transport equation is developed for two-dimensional time-dependent problems. At e…