A block-iterative nodal integral method for forced convection problems
- Univ. of Virginia, Charlottesville (United States)
A new efficient iterative nodal integral method for the time-dependent two- and three-dimensional incompressible Navier-Stokes equations has been developed. Using the approach introduced by Azmy and Droning to develop nodal mehtods with high accuracy on coarse spatial grids for two-dimensional steady-state problems and extended to coarse two-dimensional space-time grids by Wilson et al. for thermal convection problems, we have developed a new iterative nodal integral method for the time-dependent Navier-Stokes equations for mechanically forced convection. A new, extremely efficient block iterative scheme is employed to invert the Jacobian within each of the Newton-Raphson iterations used to solve the final nonlinear discrete-variable equations. By taking advantage of the special structure of the Jacobian, this scheme greatly reduces memory requirements. The accuracy of the overall method is illustrated by appliying it to the time-dependent version of the classic two-dimensional driven cavity problem of computational fluid dynamics.
- OSTI ID:
- 6705213
- Report Number(s):
- CONF-921102-; CODEN: TANSAO
- Journal Information:
- Transactions of the American Nuclear Society; (United States), Vol. 66; Conference: Joint American Nuclear Society (ANS)/European Nuclear Society (ENS) international meeting on fifty years of controlled nuclear chain reaction: past, present, and future, Chicago, IL (United States), 15-20 Nov 1992; ISSN 0003-018X
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
FLUID MECHANICS
TWO-DIMENSIONAL CALCULATIONS
ANALYTICAL SOLUTION
FORCED CONVECTION
ITERATIVE METHODS
NAVIER-STOKES EQUATIONS
NODAL EXPANSION METHOD
CALCULATION METHODS
CONVECTION
DIFFERENTIAL EQUATIONS
ENERGY TRANSFER
EQUATIONS
HEAT TRANSFER
MASS TRANSFER
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
661300* - Other Aspects of Physical Science- (1992-)