Jeffrey Alan Willert

Works (4)

Updated: July 5th, 2023 15:44

2014 article

High-Dimensional Model Representations for the Neutron Transport Equation

Hu, Z., Smith, R. C., Willert, J., & Kelley, C. T. (2014, July 1). Nuclear Science and Engineering, Vol. 177, pp. 350–360.

By: Z. Hu n, R. Smith n , J. Willert n & C. Kelley n 

topics (OpenAlex): Nuclear reactor physics and engineering; Nuclear Materials and Properties; Nuclear Engineering Thermal-Hydraulics
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Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2013 journal article

HYBRID DETERMINISTIC/MONTE CARLO NEUTRONICS

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 35(5), S62–S83.

By: J. Willert, C. Kelley , D. Knoll & H. Park

author keywords: JFNK methods; neutron transport; Monte Carlo simulation; hybrid methods
TL;DR: A hybrid deterministic/Monte Carlo algorithm for neutron transport simulation based on nonlinear accelerators for source iteration, using Monte Carlo methods for the purely absorbing high-order problem and a Jacobian-free Newton--Krylov iteration for the low- order problem. (via Semantic Scholar)
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Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2013 article

Scalable Hybrid Deterministic/Monte Carlo Neutronics Simulations in Two Space Dimensions

Willert, J., Kelley, C. T., Knoll, D. A., & Park, H. (2013, September 1). 2013 12TH INTERNATIONAL SYMPOSIUM ON DISTRIBUTED COMPUTING AND APPLICATIONS TO BUSINESS, ENGINEERING & SCIENCE (DCABES), pp. 7–10.

By: J. Willert n, C. Kelley n , D. Knoll* & H. Park *

author keywords: Neutron Transport; Jacobian-Free Newton-Krylov; NDA; Monte Carlo
topics (OpenAlex): Nuclear reactor physics and engineering; Nuclear Physics and Applications; Probabilistic and Robust Engineering Design
TL;DR: This paper discusses a parallel hybrid deterministic/Monte Carlo (MC) method for the solution of the neutron transport equation in two space dimensions that uses an NDA formulation of the transport equation, with a MC solver for the high-order equation. (via Semantic Scholar)
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Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2012 article

Hybrid Deterministic/Monte Carlo Neutronics Using GPU Accelerators

Willert, J., Kelley, C. T., Knoll, D. A., Dong, H., Ravishankar, M., Sathre, P., … Taitano, W. (2012, October 1). 2012 11TH INTERNATIONAL SYMPOSIUM ON DISTRIBUTED COMPUTING AND APPLICATIONS TO BUSINESS, ENGINEERING & SCIENCE (DCABES), pp. 43–47.

By: J. Willert n, C. Kelley n , D. Knoll*, H. Dong *, M. Ravishankar*, P. Sathre*, M. Sullivan *, W. Taitano *

author keywords: Neutron Transport; Jacobian-Free Newton-Krylov; GPU; Monte Carlo
topics (OpenAlex): Nuclear reactor physics and engineering; Nuclear Physics and Applications; Mathematical Approximation and Integration
TL;DR: A GPU implementation of a hybrid deterministic/Monte Carlo method for the solution of the neutron transport equation using GPUs to perform a Monte Carlo transport sweep as part of the evaluation of the nonlinear residual and Jacobian-vector product is discussed. (via Semantic Scholar)
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Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

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