Abstract
The paper presents the development and investigation of an adaptive-smoothing (AS) procedure in conjunction with a full multigrid (FMG) — full approximation storage (FAS) method. The latter has been developed by the authors [1] for solving the incompressible Navier-Stokes equations, in conjunction with the artificial-compressibility method and a characteristic-based discretisation scheme, and forms here the basis for investigating the AS approach. The principle of adaptive-smoothing is to exploit the non-uniform convergence behaviour of the numerical solution during the iterations in order to reduce the size of the computational domain and, thus, reduce the total computing time. The results show that significant acceleration of the multigrid flow computations can be achieved by using adaptive-smoothing.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Drikakis, D., Iliev, O.P., Vassileva, D.P.: A nonlinear multigrid method for the three-dimensional incompressible Navier-Stokes equations. J. Comput. Phys. 146 (1998) 310–321
Brandt, A.: A multilevel adaptive solutions of boundary value problems. Math. Comput. 31 (1977) 333–390
Rüde, U.: Fully adaptive multigrid methods. SIAM J. Numer. Anal 30 (1993) 230–248
Drikakis, D., Tsangaris, S.: Local solution acceleration method for the Euler and Navier-Stokes equations. AIAA J. 30 (1992) 340–348
Southwell, R.: Relaxation methods in engineering science - a treatise in approximate computation. Oxford University Press (1940)
Drikakis, D.: A parallel multiblock characteristic-based method for three-dimensional incompressible flows. Advances in Eng. Software 26 (1996) 111–119
Jameson, A.: Solution of the Euler Equations for 2-D Transonic Flow by a Multigrid Method. Appl. Math. and Comput. 13 (1983) 327–356
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Drikakis, D., Iliev, O., Vassileva, D. (2000). An Adaptive-Smoothing Multigrid Method for the Navier-Stokes Equations. In: Dick, E., Riemslagh, K., Vierendeels, J. (eds) Multigrid Methods VI. Lecture Notes in Computational Science and Engineering, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58312-4_12
Download citation
DOI: https://doi.org/10.1007/978-3-642-58312-4_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-67157-2
Online ISBN: 978-3-642-58312-4
eBook Packages: Springer Book Archive