Time-dependent nodal integral methods in natural convection with dissipation

Conference · Thu Jan 01 04:00:00 EST 1987 · Trans. Am. Nucl. Soc.; (United States)

OSTI ID:5579798

Wilson, G L; Rydin, R A

Time-dependent nodal integral methods (TDNIM) were first developed for heat conduction and then extended to fluid flow equations. These methods have been tested and verified for both time-dependent and steady-state benchmark solutions. The high degree of accuracy, computational efficiency, and independence from a Courant condition are demonstrated properties of the TDNIM methods and are necessary properties of the TDNIM methods and are necessary properties of any method to be employed in the parametric study of nonlinear problems. Two versions of the TDNIM have been developed for use in natural convection. The low-order version is obtained by carrying the buoyancy term from the momentum equations at the node integral value. The high-order version involves solving coupled ordinary differential equations. The low-order version is far simpler to derive and use and gives nearly identical results compared to the high-order version for Ra << 10/sup 5/. However, it deviates significantly for higher Rayleigh numbers unless the mesh number is increased.

• Research Organization: Univ. of Virginia, Charlottesville
• OSTI ID: 5579798
• Report Number(s): CONF-870601-
• Conference Information: Journal Name: Trans. Am. Nucl. Soc.; (United States) Journal Volume: 54
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
220100* -- Nuclear Reactor Technology-- Theory &amp; Calculation
42 ENGINEERING
420400 -- Engineering-- Heat Transfer &amp; Fluid Flow
ACCURACY
BENCHMARKS
CONVECTION
EFFICIENCY
ENERGY TRANSFER
FLUID MECHANICS
HEAT TRANSFER
HYDRAULICS
MASS TRANSFER
MECHANICS
MESH GENERATION
NATURAL CONVECTION
NONLINEAR PROBLEMS
STEADY-STATE CONDITIONS
TIME DEPENDENCE