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Abstrakty
A symmetric Galerkin boundary element formulation is given for the first time for two-dimensional, steady and incompressible flow. The formulation requires the derivation of certain integral representations (whose importance extends beyond the present application) for velocity gradient and pressure at the flow boundary; these turn out to be coupled at angular points of the contour profile.
Czasopismo
Rocznik
Tom
Strony
363--385
Opis fizyczny
Bibliogr. 21 poz.
Twórcy
autor
- Dipartimento di Architettura, Università di Ferrara, Via Quartieri 8–44100 Ferrara, Italia
autor
- Dipartimento di Ingegneria Meccanica e Strutturale, Università di Trento, Via Mesiano 77–38050 Trento, Italia
autor
- Dipartimento di Ingegneria Meccanica e Strutturale, Università di Trento, Via Mesiano 77–38050 Trento, Italia
Bibliografia
- 1. D. Bigoni, and D. Capuani, Green’s function for incremental nonlinear elasticity: shear bands and boundary integral formulation, J. Mech. Phys. Solids, 50, 471–500, 2002.
- 2. M. Bonnet, Boundary integral equation methods for solids and fluids, Wiley, 1995.
- 3. M. Bonnet, G. Maier, and Polizzotto, Symmetric Galerkin boundary element methods, Appl. Mech. Rev., 51, 669–704, 1998.
- 4. R. Courant, and D. Hilbert, Methods of Mathematical Physics. Vol. II. J. Wiley and Sons, New York 1962.
- 5. A. Frangi, and G. Novati, Symmetric BE method in two-dimensional elasticity: evaluation of double integrals for curved elements, Comput. Mech., 19, 58–68, 1996.
- 6. M. Guiggiani, Hypersingular boundary integral equations have an additional free term, Comp. Mech., 16, 245–248.
- 7. J.J.L. Higdon, Stokes flow in arbitrary two-dimensional domains: shear flow over ridges and cavities, J. Fluid Mech., 159, 195–226, 1995.
- 8. O.A. Ladyzhenskaya, The mathematical theory of viscous incompressible flow, Gordon and Breach, New York 1963.
- 9. H. Lamb, Hydrodynamics. 6-th ed., Cambridge University Press, 1932.
- 10. N. Liron and E. Barta, Motion of a rigid particle in Stokes flow: a new second-kind boundary-integral equation formulation, J. Fluid Mech., 238, 579–598, 1992.
- 11. V. Mantič and F. Paris, Symmetry properties of the kernels of the hypersingular integral and the corresponding regularized integral in the 2D Somigliana stress identity for isotropic materials, Eng. Anal. Boundary Elements, 20, 163–168, 1997.
- 12. P. Pakdel and S. Kim, Traction singularities on sharp corners and edges in Stokes flow, Chem. Eng. Comm., 148–150, 257–269, 1996.
- 13. T. Panzeca, F. Cucco and S. Terravecchia, Symmetric boundary element method versus finite element method, Comp. Meth. Appl. Mech. Eng., 191, 3347–3367, 2002.
- 14. Pozrikidis, C., Boundary integral and singularity methods for linearized viscous flow, Cambridge University Press, 1992.
- 15. C. Pozrikidis, Stokes flow in the presence of interfaces in boundary element applications in fluid mechanics, H. Power [Ed.], Computational Mechanics Publications, Southampton 1995.
- 16. C. Pozrikidis, Introduction to theoretical and computational fluid dynamics, Oxford University Press, New York 1997.
- 17. C. Pozrikidis, Numerical studies of singularity formation at free surfaces and fluid interfaces in two-dimensional Stokes flow, J. Fluid Mech., 331, 145–167, 1997.
- 18. C. Pozrikidis, Numerical studies of cusp formation at fluid interfaces in Stokes flow, J. Fluid Mech., 357, 29–57, 1998.
- 19. C. Pozrikidis, Expansion of a compressible gas bubble in Stokes flow, J. Fluid Mech., 442, 171–189, 2001.
- 20. J.C. Wu and M.M. Wahbah, Numerical solution of viscous flow equations using integral representations, Lecture Notes in Physics, 59, 448–453, Springer-Verlag, New York 1976.
- 21. G.K. Youngren and A. Acrivos, Stokes flow past a particle of arbitrary shape: a numerical method of solution, J. Fluid Mech., 69, II, 377–403, 1975.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT4-0006-0086