Conservative interpolation for the boundary integral solution of the Navier-Stokes equations

Computational Mechanics

Volumn 26, Issue 6, 2000, Pages 507-513

  Florez, W F ^a   Power, H ^b   Chejne, F ^c  

^a Southampton SO40 7AA   (Colombia)

^b UNIVERSITY OF NOTTINGHAM   (United Kingdom)

^c NONE

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL FLUID DYNAMICS; INTEGRAL EQUATIONS; INTERPOLATION; MATHEMATICAL TRANSFORMATIONS; NAVIER STOKES EQUATIONS; NONLINEAR EQUATIONS; REYNOLDS NUMBER; VARIATIONAL TECHNIQUES;

DUAL RECIPROCITY METHOD; MULTI DOMAIN TECHNIQUE;

BOUNDARY ELEMENT METHOD;

EID: 0034481879     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004660000187     Document Type: Article

References (13)

1. Brebbia CA, Telles JC, Wrobel LC (1984) Boundary element techniques. Springer-Verlag, New York
2. Cheng AH, Grille S, Lafe O (1993) Dual reciprocity boundary element based on complete set global shape functions. BEM XV, Southampton
3. Dennis JE, Schnabel R (1972) Numerical methods for uncostrained optimization and non-linear equations. PrenticeHall, New Jersey
4. Duchon J (1976) Constructive theory of functions in several variables. Springer Verlag, Berlin
5. Ghia U, Ghia KN, Shin (1982) High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid. J. Comput. Phys. 48: 387-411
6. Goldberg MA, Chen CS (1997) Discrete projection methods for integral equations. Computational Mechanics Publications, Southampton
7. Kansa EJ, Carlson RE (1995) Radial basis functions: A class of grip-free, scattered data approximations. Comput. Fluid Dyn. J. 3/4: 479-496
8. Ladyzhenskaya UA (1963) The mathematical theory of viscous incompressible flow. Gordon and Breach, New York
9. Partridge PW, Brebbia CA, Wrobel LC (1992) The dual reciprocity boundary element method. Computational Mechanics Publications, Southampton & Elsevier, New York
10. Partridge PW, Sensale B (1997) Hybrid approximation functions in the dual reciprocity boundary element method. Comm. Num. Meth. Eng. 13: 83-94
11. Popov V, Power H (1999) The DRM-MD integral equation method: an efficient approach for the numerical solution of domain dominant problems. Int. J. Numer. Meth. Eng. 44: 327-353
12. Power H, Partridge PW (1994) The use of Stokes fundamental solution for the boundary only formulation of the three-dimensional Navier-Stokes equations for moderate reynolds numbers. Int. J. Num. Meth. Fluids 37: 1825-1840
13. Telles JC (1987) A self-adaptive coordinate transformation for efficient numerical evaluation of general boundary element integrals. Int. J. Num. Meth. Eng. 24: 959-973