<i>Nuclear Reactor Physics</i>

Murray, Raymond L.; Ellis, R. Hobart

doi:10.1063/1.3060493

Cited by 21 publications

(7 citation statements)

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“…K£ |£ + n8* = f(r s ,t) (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19)(20) 4. Natural convection boundary condition: For the case of heat transfer all media will be nonabsorbing and…”

Section: Boundary Condition Of Third Kindmentioning

confidence: 99%

A Monte Carlo Method of Solving Heat Conduction Problems

Fraley

Hoffman

Stevens

1980

Journal of Heat Transfer

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A new approach in the use of Monte Carlo to solve heat conduction problems is developed using a transport equation approximation to the heat conduction equation. A variety of problems is analyzed with this method and their solutions are compared to those obtained with analytical techniques. This Monte Carlo approach appears to be limited to the calculation of temperatures at specific points rather than temperature distributions. The method is applicable to the solution of multimedia problems with no inherent limitations as to the geometric complexity of the problem.

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Section: Boundary Condition Of Third Kindmentioning

confidence: 99%

A Monte Carlo Method of Solving Heat Conduction Problems

Fraley

Hoffman

Stevens

1980

Journal of Heat Transfer

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“…The accurate computation of radiation transport is a key ingredient in many application problems, including astrophysics [28,35,44], nuclear engineering [8,9,32], climate science [24], nuclear medicine [20], and engineering [29]. A key challenge for solving the (energy-independent) radiation transport equation (RTE) (1) is that it is a mesoscopic equation in a phase space of dimension higher than the physical space coordinates.…”

Section: Introductionmentioning

confidence: 99%

Massively Parallel Stencil Strategies for Radiation Transport Moment Model Simulations

Berghoff

Frank

Seibold

2020

Lecture Notes in Computer Science

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The radiation transport equation is a mesoscopic equation in high dimensional phase space. Moment methods approximate it via a system of partial differential equations in traditional space-time. One challenge is the high computational intensity due to large vector sizes (1 600 components for P39) in each spatial grid point. In this work, we extend the calculable domain size in 3D simulations considerably, by implementing the StaRMAP methodology within the massively parallel HPC framework NAStJA, which is designed to use current supercomputers efficiently. We apply several optimization techniques, including a new memory layout and explicit SIMD vectorization. We showcase a simulation with 200 billion degrees of freedom, and argue how the implementations can be extended and used in many scientific domains.

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“…Caso o feixe de nêutrons incidente possua uma distribuição de velocidades n(v), a secção de choque total a ser considerada é a efetiva para este espectro, ou seja [27]:…”

Section: Nêutrons E a Matériaunclassified

Radiografia com elétrons induzida por nêutrons

Andrade¹

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Nuclear Reactor Physics

Cited by 21 publications

References 0 publications

A Monte Carlo Method of Solving Heat Conduction Problems

A Monte Carlo Method of Solving Heat Conduction Problems

Massively Parallel Stencil Strategies for Radiation Transport Moment Model Simulations

Radiografia com elétrons induzida por nêutrons

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