Mitigating Teleportation Error in Frequency-Dependent Hybrid Implicit Monte Carlo Diffusion Methods

DOI10.1080/00411450.2014.909850OpenAlexW2069877929MaRDI QIDQ5066608

Mathew A. Cleveland, Nick A. Gentile

Publication date: 29 March 2022

Published in: Journal of Computational and Theoretical Transport (Search for Journal in Brave)

Full work available at URL: https://www.osti.gov/biblio/1212834

zbMATH Keywords

implicit Monte Carlo diffusion (IMD)teleportation errordiscreet diffusion Monte Carlo (DDMC)hybrid transport diffusion

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (10)

Multi-frequency implicit semi-analog Monte-Carlo (ISMC) radiative transfer solver in two-dimensions (without teleportation) ⋮ Efficient uncertainty propagation for photonics: combining implicit semi-analog Monte Carlo (ISMC) and Monte Carlo generalised polynomial chaos (MC-gPC) ⋮ Four Decades of Implicit Monte Carlo ⋮ A cell-based population control of Monte Carlo particles for the global variance reduction for transport equations ⋮ A finite element method for angular discretization of the radiation transport equation on spherical geodesic grids ⋮ Unified gas-kinetic particle method for frequency-dependent radiation transport ⋮ Corrected implicit Monte Carlo ⋮ An improved random walk algorithm for the implicit Monte Carlo method ⋮ A new implicit Monte-Carlo scheme for photonics (without teleportation error and without tilts) ⋮ Canceling Teleportation Error in Legacy IMC Code for Photonics (Without Tilts, With Simple Minimal Modifications)

Uses Software

• Kull IMC

Cites Work

• Asymptotic analysis of the spatial discretization of radiation absorption and re-emission in implicit Monte Carlo
• An extension of implicit Monte Carlo diffusion: multigroup and the difference formulation
• Comparison of implicit and symbolic implicit Monte Carlo line transport with frequency weight vector extension
• A hybrid transport-diffusion Monte Carlo method for frequency-dependent radiative-transfer simulations
• An implicit Monte Carlo scheme for calculating time and frequency dependent nonlinear radiation transport
• Implicit Monte Carlo diffusion -- an acceleration method for Monte Carlo time-dependent radiative transfer simulations

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