A Method of Characteristics Solution to the Oecd/nea 3d Neutron Transport Benchmark Problem
نویسندگان
چکیده
A method of characteristics for steady-state transport calculations that can be applied to problems with a full and explicit 3D Cartesian system model has been implemented into the new code, MOCK-3D. Procedures for performing 3D ray-tracing are derived from methods that are employed in most lattice physics codes and simplifications to the discretized problem model minimize the expense associated with the storage of a “tracking file.” MOCK-3D has been applied to one of the OECD/NEA 3D Neutron Transport Benchmarks, and comparison of these results to the reference solution is presented.
منابع مشابه
Spherical Harmonics Finite Element Solution of the Least-squares Neutron Transport Equation
To solve the neutron Boltzmann equation in anisotropic or void regions, one may use deterministic methods such as the discrete ordinates method or the even-parity approach. Both methods have shown numerous applications and developments in the last 30 years. Nevertheless both exhibit drawbacks in three-dimensions void regions that require special treatments, such as using characteristics method ...
متن کاملA New Paradigm for Whole Core Neutron Transport without Homogenization
A new paradigm is introduced which allows the performance of whole core transport calculations without lattice homogenization. Quasi-reflected interface conditions are formulated to partially decouple periodic lattice effects from the pin-cell to pin-cell flux variation in the finite subelement form of the variational nodal code VARIANT. With fuel-coolant homogenization eliminated, the interfac...
متن کاملA Nodal Expansion Method for Solving the Multigroup Sp3 Equations in the Reactor Code Dyn3d
The core model DYN3D which has been developed for three-dimensional analyses of steady states and transients in thermal reactors with quadratic or hexagonal fuel assemblies is based on nodal methods for the solution of the two-group neutron diffusion equation. Loading cores with higher content of MOX fuel, the increase of the fuel cycle length and new types of reactors are challenging for these...
متن کامل3D BENCHMARK RESULTS FOR ROBUST STRUCTURAL OPTIMIZATION UNDER UNCERTAINTY IN LOADING DIRECTIONS
This study has been inspired by the paper "An efficient 3D topology optimization code written in MATLAB” written by Liu and Tovar (2014) demonstrating that SIMP-based three-dimensional (3D) topology optimization of continuum structures can be implemented in 169 lines of MATLAB code. Based on the above paper, we show here that, by simple and easy-to-understand modificati...
متن کاملApplication of Convolution of Daubechies Wavelet in Solving 3D Microscale DPL Problem
In this work, the triple convolution of Daubechies wavelet is used to solve the three dimensional (3D) microscale Dual Phase Lag (DPL) problem. Also, numerical solution of 3D time-dependent initial-boundary value problems of a microscopic heat equation is presented. To generate a 3D wavelet we used the triple convolution of a one dimensional wavelet. Using convolution we get a scaling function ...
متن کامل