High-order-accurate discretization stencil for an elliptic equation

International Journal for Numerical Methods in Fluids

Volumn 23, Issue 4, 1996, Pages 367-377

  Arad, M ^a   Yakhot, A ^a   Ben Dor, G ^a  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

Author keywords

Discretization; Duct flow; High order accuracy

Indexed keywords

ALGEBRA; BOUNDARY CONDITIONS; COMPUTATIONAL FLUID DYNAMICS; DIFFERENTIAL EQUATIONS; DUCTS; ELASTICITY; LAMINAR FLOW; LAPLACE TRANSFORMS; MATHEMATICAL OPERATORS; NONLINEAR EQUATIONS; SET THEORY; TORSIONAL STRESS;

DIRICHLET AND NEUMANN BOUNDARY CONDITIONS; DISCRETIZATION; DUCT FLOW; ELLIPTIC EQUATION; TRUNCATION ERROR; TWO DIMENSIONAL LAPLACIAN OPERATOR;

NUMERICAL METHODS;

EID: 0030212782     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0363(19960830)23:4<367::AID-FLD426>3.0.CO;2-G     Document Type: Article

References (6)

1. D. A. Anderson, J. C. Tannehill and R. H. Pletcher, Computational Fluid Mechanics and Heat Transfer, Hemisphere, Washington, D.C., 1984.
2. M. Arad, R. Segev and G. Ben-Dor, 'Improved finite difference method for equilibrium problems based on differentiation of the partial differential equations and the boundary conditions', Int. j. numer methods eng., 38, 1831-1853 (1995).
3. F. M. White, Viscous Fluid Flow, McGraw-Hill, New York, 1974.
4. I. S. Sokolnikoff, Mathematical Theory of Elasticity, McGraw-Hill, New York, 1946.
5. C. A. J. Fletcher, Computational Techniques for Fluid Dynamics, Vol. 1, Springer, New York, 1988.
6. J. A. Shercliff, 'Steady motion of conducting fluids in pipes under transverse magnetic fields', Proc. Camb. Philos. Soc., 49, 136-144 (1953).