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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 Hybrid Monte Carlo, Discontinuous Galerkin method for linear kinetic transport equations
Johannes Krotz, Cory D. Hauck, Ryan G. McClarren
We present a hybrid method for time-dependent particle transport problems that combines Monte Carlo (MC) estimation with deterministic solutions based on discrete ordinates. For sp…
Variable resolution Poisson-disk sampling for meshing discrete fracture networks
Johannes Krotz, Matthew R. Sweeney, Jeffrey D. Hyman +2
We present the near-Maximal Algorithm for Poisson-disk Sampling (nMAPS) to generate point distributions for variable resolution Delaunay triangular and tetrahedral meshes in two an…
Maximal Poisson-disk Sampling for Variable Resolution Conforming Delaunay Mesh Generation: Applications for Three-Dimensional Discrete Fracture Networks and the Surrounding Volume
Johannes Krotz, Matthew R. Sweeney, Carl W. Gable +2
We propose a two-stage algorithm for generating Delaunay triangulations in 2D and Delaunay tetrahedra in 3D that employs near maximal Poisson-disk sampling. The method generates a…