Evaluation of the residual method of orthogonal collocations and solution of one-dimensional equations of sodium vapor flow
The residual method of orthogonal collocations (OCs) evaluated on the basis of three problems of increasing degree of complexity. Two model problems, a Poisson equation and a wave front propagation problem, allow a comparison with known analytical solutions and other numerical results obtained with finite differences or with the classical Galerkin method. The third problem consists of the numerical solution of the equations describing a one-dimensional sodium vapor flow, obtained using a variant of the BLOW-3A computer program developed for this purpose. Shape functions of second degree are used throughout the analysis. The results show the applicability of the OC technique to two-phase flow problems.
- Research Organization:
- Kernforschungszentrum Karlsruhe, Institut fur Reaktorentwicklung Postfach 3640, D-7500 Karlsruhe, Germany, F.R.
- OSTI ID:
- 5990154
- Journal Information:
- Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 82:1; ISSN NSENA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
420400* -- Engineering-- Heat Transfer & Fluid Flow
ALKALI METALS
ANALYTICAL SOLUTION
COMPUTER CALCULATIONS
DIFFERENTIAL EQUATIONS
ELEMENTS
EQUATIONS
FINITE DIFFERENCE METHOD
FLUID FLOW
GALERKIN-PETROV METHOD
GAS FLOW
ITERATIVE METHODS
METALS
NUMERICAL SOLUTION
ORTHOGONAL TRANSFORMATIONS
PARTIAL DIFFERENTIAL EQUATIONS
POISSON EQUATION
SHAPE
SODIUM
TRANSFORMATIONS
TWO-PHASE FLOW
WAVE PROPAGATION