Nodal methods for problems in fluid mechanics and neutron transport

Thesis/Dissertation · Tue Jan 01 00:00:00 EST 1985

OSTI ID:5482374

Azmy, Y Y

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.

• Research Organization: Illinois Univ., Urbana (USA)
• OSTI ID: 5482374
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

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