Skip to main content

Time Domain Electromagnetic Scattering Simulations on Unstructured Grids

  • Chapter
High-Performance Computing
  • 456 Accesses

Abstract

An efficient solution procedure, simulating the interaction between plane electromagnetic waves and electrically large obstacles, is presented. The solution of Maxwell’s curl equations is sought in the time domain by explicit timestepping. The spatial domain is discretised into a mesh of linear tetrahedral elements. To enhance the efficiency of the resulting computational procedure, an edge based representation of the mesh is employed. The Maxwell equations are spatially discretised using a Galerkin method, with stabilisation achieved by the adoption of a Lax-Wendroff numerical flux function. Approaches enabling the accurate modelling of electromagnetic scattering effects over a wide frequency range are investigated, highlighting the significance of the treatment of the mass matrix within the formulation presented. The development of a parallel environment, incorporating parallel mesh generation and parallel solution procedures is also discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. I. Harari, K. Grosh, T.J.R. Hughes, M. Malhotra, P.M. Pinksky, J.R. Stewart and L.L. Thompson, Recent developments in finite element methods for structural acoustics, Archiv. Comput. Methods Eng. 3:131–309 (1996).

    Article  Google Scholar 

  2. K. Morgan, O. Hassan and J. Peraire, A time domain unstructured approach to the simulation of electromagnetic scattering in piecewise homogeneous media, Comput. Methods Appl. Mech. Eng. 134:17–34 (1996).

    Article  Google Scholar 

  3. K. Morgan, P.J. Brookes, O. Hassan, N.P. Weatherill, Parallel processing for the simulation of problems involving scattering of electromagnetic waves, Comput. Methods Appl. Mech. Eng. 152:157–74 (1998).

    Article  Google Scholar 

  4. N.P. Weatherill and O. Hassan, Efficient 3D Delaunay triangulation with automatic point creation and imposed boundary constraints, Int. J. Numer. Methods Engrg. 37:2005–39 (1994).

    Article  Google Scholar 

  5. H. Simon, Partitioning of unstructured problems for parallel processing, Comput. Syst. Engrg. 2:135–48 (1991).

    Article  Google Scholar 

  6. N. Verhoeven, N.P. Weatherill and K. Morgan, Dynamic load balancing in a 2D parallel Delaunay mesh generator, in: Parallel Computational Fluid Dynamics: Implementations and Results Using Parallel Computers, Elsevier Science, Amsterdam (1996).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer Science+Business Media New York

About this chapter

Cite this chapter

Brookes, P.J., Hassan, O., Morgan, K., Said, R., Weatherill, N.P. (1999). Time Domain Electromagnetic Scattering Simulations on Unstructured Grids. In: Allan, R.J., Guest, M.F., Simpson, A.D., Henty, D.S., Nicole, D.A. (eds) High-Performance Computing. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4873-7_46

Download citation

  • DOI: https://doi.org/10.1007/978-1-4615-4873-7_46

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7211-0

  • Online ISBN: 978-1-4615-4873-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics