Abstract
We review our experiences with absorbing layer boundary conditions in fluid flow. The absorbing layer is constructed by splitting the temporal derivative and applying independent damping in each split equation. This methodology follows the basic principle outlined by Berenger for the solution of Maxwell’s equations and is known as the Perfectly Matched Layer (PML) boundary condition. We consider several physical problems and numerical algorithms. The results indicate that the PML boundary condition efficiently minimize reflections and are suitable for aeroacoustic computations.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Reference
Atkins, H. L., 1997, “Continued Development of the Discontinuous Galerkin Method for Computational Aeroacoustic Applications”, AIAA paper 97–1581.
Atkins, H. L. and Shu, Chi-Wang, 1996, “Quadrature Free Implementation of the Discontinuous Galerkin Methods for Hyperbolic Equations”, AIAA paper 96–1683.
Berenger, J-P, 1994, “A Perfectly Matched Layer for the Absorption of Electro-magnetic Waves”, JCP, 114, pp 185–200.
Colonius, T., Lele, S. K. and Moin, P., 1993, “Boundary Conditions for Direct Computation of Aerodynamic Sound Generation”, AIAA J., 31, pp 1574–1582.
Erlebacher, G., Hussaini, M. Y. and Shu, C., 1997, “Interaction of a Shock with a Longitudinal Vortex”, ICASE report 96–31, to appear in JFM.
Givoli, D., 1991, “Non-reflecting Boundary Conditions”, JCP, 94, pp 1–29.
Gottlieb, D. and Turkel, E., 1976, “Dissipative Two-Four Methods for Time Dependent Problems”, Math. Comp, Vol 30, pp 703–723.
Hayder, M. E. and Turkel, E., 1995, “Nonreflecting Boundary Conditions for Jet Flow Computations”, AIAA Journal, 33, No. 12, pp 2264–2270.
Hayder, M. E., Hu, F. Q. and Hussaini, M. Y., 1996, “Towards Perfectly Absorbing Boundary Layer as a Non-Reflecting boundary”, Presented in the 15th ICNMFD, Monterey, CA.
Hayder, M. E., Hu, F. Q. and Hussaini, M. Y., 1997, “Towards Perfectly Absorbing Boundary Conditions for Euler Equations”, ICASE report 97–25, AIAA paper 97–2075.
Hu, F. Q., 1996a, “On Absorbing Boundary Conditions for Linearized Euler Equations by a Perfectly Matched Layer”, JCP, 129, pp 201–219.
Hu, F. Q., 1996b, “On Perfectly Matched Layer As An Absorbing Boundary Condition”, AIAA paper 96–1664.
Hu, F. Q., Hussaini, M. Y. and Manthey, J. L., 1996, “Low-Dissipation and Low-Dispersion Runge-Kutta Schemes for Computational Acoustics” JCP, 124, pp 177–191.
Streett, C. L. and Macaraeg, M. G., 1989, “Spectral multi-domain for large scale fluid dynamics simulations”, Int. J. of Applied Num. Math., 6, pp 123–139.
Ta’asan, S. and Nark, D. M., 1995, “An Absorbing Buffer Zone Technique for Acoustic Wave Propagation”, AIAA paper 95–0164.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Hayder, M.E., Atkins, H.L. (1998). Experience with PML Boundary Conditions in Fluid-Flow Computations. In: Geers, T.L. (eds) IUTAM Symposium on Computational Methods for Unbounded Domains. Fluid Mechanics and Its Applications, vol 49. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9095-2_22
Download citation
DOI: https://doi.org/10.1007/978-94-015-9095-2_22
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-5106-6
Online ISBN: 978-94-015-9095-2
eBook Packages: Springer Book Archive