A time-dependent nodal-integral method for the investigation of bifurcation and nonlinear phenomena in fluid flow and natural convection

Journal Article · Thu Dec 01 04:00:00 EST 1988 · Nucl. Sci. Eng.; (United States)

OSTI ID:6050828

Wilson, G L; Rydin, R A; Azmy, Y Y

Two new low- and high-order time-dependent nodal-integral methods were developed and applied to both incompressible fluid flow and natural convection. These new methods have a high level of accuracy on a coarse mesh, high efficiency, and an ability to reproduce results using various time-step sizes independent of a Courant condition. These new methods are applied to various bench-mark problems, such as double-glazing,to verify their accuracy in space and time. Other applications to bifurcation searches and stability of flow fields verify their accuracy and their ability to duplicate natural phenomena without exhibiting problems with spurious solutions, turning points, and bifurcation points. The new methods are also used to verify the existence of critical values of the aspect ratio. The means by which alternative stable solutions can be obtained form a no-flow initial condition for a critical aspect ratio are also examined.

• Research Organization: Univ. of Virginia, Dept. of Nuclear Engineering and Engineering Physics, Charlottesville, VA (US); Engineering Physics and Mathematics Div., Oak Ridge, TN (US)
• OSTI ID: 6050828
• Journal Information: Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 100:4; ISSN NSENA
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
42 ENGINEERING
420400 -- Engineering-- Heat Transfer & Fluid Flow
ACCURACY
BENCHMARKS
CALCULATION METHODS
CONVECTION
CRITICAL FIELD
CRITICALITY
ENERGY TRANSFER
FLUID FLOW
HEAT TRANSFER
INCOMPRESSIBLE FLOW
MAGNETIC FIELDS
MASS TRANSFER
NATURAL CONVECTION
NONLINEAR PROBLEMS
STABILITY
TIME DEPENDENCE