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A NEW FLUX-LIMITED DIFFUSION METHOD FOR NEUTRAL PARTICLE TRANSPORT CALCULATIONS

YIN, CHUKAI
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1129768153

Abstract Details

2005, PhD, University of Cincinnati, Engineering : Nuclear and Radiological Engineering.
The Boltzmann equation, which is often used to describe neutral particle transport process, is impossible to solve analytically in most cases. Solving the equation by a numerically method could also be very time-consuming for some problems. Therefore, various approximation methods have been developed for particle transport calculations. In this dissertation, a new Flux-Limited diffusion method (DM) is investigated as a low-order approximation to the transport equation. Specifically, the new Flux-Limited diffusion method (DM) is derived based on the Minerbo maximum entropy Eddington factor and corresponding boundary conditions are developed. Performance of the DM method is tested for a variety of particle transport problems: including steady-state problems, transient problems, one-dimensional problems, two-dimensional problems, flux distribution problems, eigen-value problems, one-group problems, and two-group problems. The tests demonstrate that compared with other approximations, the DM method has the following good features. (1) The DM method is a low order approximation as the classic diffusion method but can improve the accuracy of classic diffusion method by a factor up to 10. (2) The DM method has relatively fast computing speed compared with other high order approximations and its computation cost is not too expensive compared with the classic diffusion method. (3) The DM method can predict proper traveling speed of particles in time-dependent problems. (4) The DM method is valid for neutral particle transport in systems containing strong absorbers, regions near particle sources or boundaries, and systems where strongly anisotropic scattering of particles occur. (5) The DM method is superior to other Flux-Limited diffusion methods available in the literature. (6) The solutions of the DM method are numerically stable in all the circumstances. Overall, the DM method is promising as a low-order approximation for particle transport calculations in some applications.
Bingjing Dr. Su (Advisor)
111 p.
Engineering, Nuclear
Boltzmann Equation; Particle Transport; Flux-Limited Diffusion

Recommended Citations

Citations

  • YIN, C. (2005). A NEW FLUX-LIMITED DIFFUSION METHOD FOR NEUTRAL PARTICLE TRANSPORT CALCULATIONS [Doctoral dissertation, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1129768153

    APA Style (7th edition)

  • YIN, CHUKAI. A NEW FLUX-LIMITED DIFFUSION METHOD FOR NEUTRAL PARTICLE TRANSPORT CALCULATIONS. 2005. University of Cincinnati, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1129768153.

    MLA Style (8th edition)

  • YIN, CHUKAI. "A NEW FLUX-LIMITED DIFFUSION METHOD FOR NEUTRAL PARTICLE TRANSPORT CALCULATIONS." Doctoral dissertation, University of Cincinnati, 2005. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1129768153

    Chicago Manual of Style (17th edition)

ucin1129768153
701
© 2005, all rights reserved.
This open access ETD is published by University of Cincinnati and OhioLINK.