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Title: Nodal methods for problems in fluid mechanics and neutron transport

Abstract

A new high-accuracy, coarse-mesh, nodal integral approach is developed for the efficient numerical solution of linear partial differential equations. It is shown that various special cases of this general nodal integral approach correspond to several high efficiency nodal methods developed recently for the numerical solution of neutron diffusion and neutron transport problems. The new approach is extended to the nonlinear Navier-Stokes equations of fluid mechanics; its extension to these equations leads to a new computational method, the nodal integral method which is implemented for the numerical solution of these equations. Application to several test problems demonstrates the superior computational efficiency of this new method over previously developed methods. The solutions obtained for several driven cavity problems are compared with the available experimental data and are shown to be in very good agreement with experiment. Additional comparisons also show that the coarse-mesh, nodal integral method results agree very well with the results of definitive ultra-fine-mesh, finite-difference calculations for the driven cavity problem up to fairly high Reynolds numbers.

Authors:
Publication Date:
Research Org.:
Illinois Univ., Urbana (USA)
OSTI Identifier:
5482374
Resource Type:
Thesis/Dissertation
Resource Relation:
Other Information: Thesis (Ph. D.)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; FLUID MECHANICS; NAVIER-STOKES EQUATIONS; NUMERICAL SOLUTION; NEUTRON DIFFUSION EQUATION; NEUTRON TRANSPORT; CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; MECHANICS; NEUTRAL-PARTICLE TRANSPORT; PARTIAL DIFFERENTIAL EQUATIONS; RADIATION TRANSPORT; 654003* - Radiation & Shielding Physics- Neutron Interactions with Matter; 640410 - Fluid Physics- General Fluid Dynamics

Citation Formats

Azmy, Y Y. Nodal methods for problems in fluid mechanics and neutron transport. United States: N. p., 1985. Web.
Azmy, Y Y. Nodal methods for problems in fluid mechanics and neutron transport. United States.
Azmy, Y Y. 1985. "Nodal methods for problems in fluid mechanics and neutron transport". United States.
@article{osti_5482374,
title = {Nodal methods for problems in fluid mechanics and neutron transport},
author = {Azmy, Y Y},
abstractNote = {A new high-accuracy, coarse-mesh, nodal integral approach is developed for the efficient numerical solution of linear partial differential equations. It is shown that various special cases of this general nodal integral approach correspond to several high efficiency nodal methods developed recently for the numerical solution of neutron diffusion and neutron transport problems. The new approach is extended to the nonlinear Navier-Stokes equations of fluid mechanics; its extension to these equations leads to a new computational method, the nodal integral method which is implemented for the numerical solution of these equations. Application to several test problems demonstrates the superior computational efficiency of this new method over previously developed methods. The solutions obtained for several driven cavity problems are compared with the available experimental data and are shown to be in very good agreement with experiment. Additional comparisons also show that the coarse-mesh, nodal integral method results agree very well with the results of definitive ultra-fine-mesh, finite-difference calculations for the driven cavity problem up to fairly high Reynolds numbers.},
doi = {},
url = {https://www.osti.gov/biblio/5482374}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Jan 01 00:00:00 EST 1985},
month = {Tue Jan 01 00:00:00 EST 1985}
}

Thesis/Dissertation:
Other availability
Please see Document Availability for additional information on obtaining the full-text document. Library patrons may search WorldCat to identify libraries that hold this thesis or dissertation.

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