Abstract
Effective projection-grid method on adaptive grid for solution of stationary 2-D incompressible Navier-Stokes equations is presented. The method implies obtaining the solution in the form of piecewise polynomial functions on arbitrary regular grid with triangular cells. The grids are adapted to the singularities of the solution as well to the domain geometry. The suggested method assumes the appearance of cells with arbitrarily small angles which does not significantly affect the accuracy of the approximated solution. Some numerical results are presented and discussed.
Preview
Unable to display preview. Download preview PDF.
References
A.G. Sleptsov: Russian J. Numer. Anal. Mathem. Modeling, 8 501 (1993)
Yu. I. Shokin, A.G. Sleptsov: Russian J. Numer. Anal. Mathem. Modelling, 10 449 (1995)
A.G. Sleptsov, Yu.I. Shokin: Adaptive Projection-Grid method for Elliptic Problems, J. Comput. Mathem. and Mathem. Phys. (in appear).
J.T. Oden, L. Demkowicz: Comput. Math. Appl. Mech. and Engng, 91 11 (1991)
G. Strang, G.J. Fix: An Analysis of the Finite Element Method, Prentice-Hall, Ink, Englewood Cliffs, NJ, (1973)
P. Ciarlet: The Finite Element Method for Elliptic Problems, Studies in Mathematics and Its Applications, 4, North-Holland Publishing Company, Amsterdam, New-York, Oxford (1978)
A.G. Sleptsov: Russian J. Theor. and Applied Mech. 1 74 (1991)
A.G. Sleptsov: Russian J. Thear. and Applied Mech. 1 213 (1991)
V.B. Karamyshev, V.M. Kovenya, A.G. Sleptsov and S.G. Cherny: Variational Method of Accelerating Linear Iterations, Computers and Fluids (in appear)
Y. Saad: Mathematics of Computation 37 105 (1981)
V.B. Karamyshev, V.M. Kovenya, S.G. Cherny: 14-th ICNMFD, Bangalore, India (1994)
V. Karamyshev, V.M. Kovenya, A.G. Sleptsov, S. Cherny: Sixth International Symposium on CFD, Nevada, USA (1995)
I.P. Mysovskikh: Interpolation Qubature Formulas, Moscow: Nauka (1979)
B.-N. Jiang, G.F. Carey: J. Numeric. Meth. Engng 24 569 (1987)
V.B. Karamyshev, V.M. Kovenya, A.G. Sleptsov: ECCOMAS'96, Paris, France (1996)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1997 Springer-Verlag
About this paper
Cite this paper
Karamyshev, V., Kovenya, V., Sleptsov, A. (1997). Adaptive projection-grid methods and their application. In: Kutler, P., Flores, J., Chattot, JJ. (eds) Fifteenth International Conference on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 490. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107153
Download citation
DOI: https://doi.org/10.1007/BFb0107153
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-63054-8
Online ISBN: 978-3-540-69120-4
eBook Packages: Springer Book Archive