Skip to main content

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 49))

Abstract

The participants of the Symposium on Computational Methods for Unbounded Domains formed four working groups of nine members each to work in parallel on benchmark problems. Each group presented its benchmark candidates to the assembly of participants, which initiated a process of consolidation

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.

References

  1. Burnett, D.S., and Soroka, W.W., 1972, “Tables of Rectangular Piston Radiation Impedance Functions, with Application to Sound Transmission Loss through Deep Apertures”, J. Acoust. Soc. Am., Vol. 51, pp. 1618–1623.

    Article  Google Scholar 

  2. Junger, M.C., and Feit, D., 1986, Sound, Structures, and Their Interaction,2nd ed., MIT Press.

    Google Scholar 

  3. Morse, P.M., and Ingard, K.U., 1968, Theoretical Acoustics,McGraw-Hill. 1.4 Pierce, A.D., Acoustics,1989, Acoustical Society of America.

    Google Scholar 

  4. Blaschak, J.G., Kriegsmann, G.A. and Taflove, A., 1989, “A Study of Wave Interactions with Hanged Waveguides and Cavities Using the On-Surface Radiation Condition”, Wave Motion, Vol. 11, pp. 65–76.

    Article  Google Scholar 

  5. Howard, A.Q., 1972, “On the Mathematical Theory of Electromagnetic Radiation from Flanged Waveguides”, J. Math. Phys., Vol. 13, pp. 482–490.

    Article  Google Scholar 

  6. Johnk, C.T.A., 1988, Engineering Electromagnetic Fields and Waves,Wiley.

    Google Scholar 

  7. Kinsler, et al., 1982, Fundamentals of Acoustics,3rd ed., Wiley.

    Google Scholar 

  8. Morse, P.M., and Feshbach, H., 1953, Methods of Theoretical Physics,McGraw-Hill.

    Google Scholar 

  9. Shirai, H., and Felsen, L.B., 1987, “Rays, Modes and Beams for Plane Wave Coupling into a Large Open-Ended Circular Waveguide”, Wave Motion, Vol. 9, pp. 461–482.

    Article  Google Scholar 

  10. Buchner, 1993, “An Evaluation and Extension of the Shallow Draft Diffraction Theory”, Proc. 3rd Offshore and Polar Eng’ Conf., Singapore, pp. 6–11.

    Google Scholar 

  11. Gaul, L. 1977, “Dynamic Interaction of a Foundation with a Viscoelastic Halfspace”, Ing.-Archiv, Vol. 46, pp. 401–422.

    Article  MATH  Google Scholar 

  12. Gazetas, G., 1983, “Analysis of Machine Foundation Vibration: State of the Art”, Soil Dyn. and Earthquake Eng’g, Vol. 2, pp. 2–42

    Article  Google Scholar 

  13. Halpern, M.R., and Christiane, P., 1986, “Steady-State Harmonic Response of a Rigid Plate Bearing on a Liquid-Saturated Poroelastic Halfspace”, Earthquake Eng’g and Struc. Dyn., Vol. 14, pp. 439–454.

    Article  Google Scholar 

  14. Halpern, M.R., and Christian, P., 1986, “Response of a Poroelastic Half-Space to Steady-State Harmonic Surface Tractions”, Int. J. Num. und Anal. Meth. in Geomech., Vol. 10, pp. 609–632.

    Article  MATH  Google Scholar 

  15. Ilan, A., and Weight, J.P., 1990, “The Propagation of Short Pulses of Ultrasound from a Circular Source Coupled to an Isotropic Solid”, J. Acoust. Soc. Am., Vol. 88, pp. 11421151.

    Google Scholar 

  16. Kotik, J., and Mangulis, V., 1962, “On the Kramers-Dronig Relations for Ship Motions”, Int. Shipbuilding Progress, Vol. 9, pp. 361–368.

    Google Scholar 

  17. Luco, J.E., and Westmann, R.A., 1971, “Dynamic Response of Circular Footings, J. Eng’g Mech. Div., ASCE, Vol. 97, pp. 1381–1305.

    Google Scholar 

  18. McIver, P., 1994, “Low-Frequency Asymptotics of Hydrodynamic Forces on Fixed and Floating Structures”, Rahman, M., ed, Ocean Waves Engineering, Computational Mechanics Publications.

    Google Scholar 

  19. Newman, J.N., 1985, “Transient Axisymmetric Motion of a Floating Cylinder”, J. Fl. Mech., Vol. 157, pp. 17–33.

    Article  MATH  Google Scholar 

  20. Newman, J.N., 1992 (7th printing), Marine Hydrodynamics,MIT Press.

    Google Scholar 

  21. Norwood, F.R., 1969, “Exact Transient Response of an Elastic Half Space Loaded over a Rectangular Region of its Surface”, J. Appl. Mech., Vol. 36, pp. 516–522.

    Article  MATH  Google Scholar 

  22. Pak, R.Y.S., and Gobert, A.T., 1991, “Forced Vertical Vibration of Rigid Discs with Arbitrary Embedment”, J. Eng’g Mech. Div., ASCE, Vol. 117, pp. 2527–2548.

    Google Scholar 

  23. Wolf, J.P., 1985, Dynamic Soil-Structure Interaction,Prentice-Hall.

    Google Scholar 

  24. Bowman, J.J., Senior, T.B.A. and Uslenghi, P.L.E., Eds., 1970, Electromagnetic and Acoustic Scattering by Simple Shapes,North-Holland.

    Google Scholar 

  25. Geers, T.L., and Zhang, P.Z., 1988, “Doubly Asymptotic Approximations for Electromagnetic Scattering Problems”, pp. 357–369, Tanaka, M., and Cruse, T.A., Boundary Element Methods in Applied Mechanics, Pergamon Press.

    Google Scholar 

  26. Geers, T.L., 1998, “Singly and Doubly Asymptotic Approximations”, in this volume.

    Google Scholar 

  27. Ruck, G.T., et al,1970, Radar Cross Section Handbook,Plenum Press.

    Google Scholar 

  28. Stone, W.R., ed., 1990, Radar Cross Sections of Complex Objects,IEEE Press.

    Google Scholar 

  29. Stratton, J.A., 1941, Electromagnetic Theory,McGraw-Hill.

    Google Scholar 

  30. Van Bladel, J., 1964, Electromagnetic Fields,McGraw-Hill.

    Google Scholar 

  31. Pao, Y.-H., and Mow, C.-C., 1972, Diffraction of Elastic Waves and Dynamic Stress Concentrations, Rand Corp.

    Google Scholar 

  32. Budreck, D.E., and Achenbach, J.D., 1988, “Scattering from Three-Dimensional Planar Cracks by the Boundary Integral Equation Method, J. Appl. Mech.,Vol. 55, pp. 405411.

    Google Scholar 

  33. Martynenko, S.V., 1987, “Scattering of a Longitudinal Wave in Normal Incidence on a Penny-Shaped Cavity in an Elastic Body”, Soy. Phys.–Acoustics, Vol. 33, pp. 90–93.

    Google Scholar 

  34. Hardin, J.C., Ristorcelli, J.R., and Tam, C.K.W., Eds, 1995, ICASE/LaRC Workshop on Benchmark Problems in Computational Aeroacoustics, NASA CP 3300.

    Google Scholar 

  35. Hu, F.Q., 1996, “On Absorbing Boundary Conditions for Linearized Euler Equations by a Perfectly Matched Layer”, J. Comp. Phys., Vol. 129, pp. 201–219.

    Article  MATH  Google Scholar 

  36. Hagstrom, T., and Goodrich, J., 1988, “Experiments with Approximate Radiation Boundary Conditions for Computatioanl Aeroacoustics”, to appear in Appl. Num. Math.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Geers, T.L. (1998). Benchmark Problems. 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_1

Download citation

  • DOI: https://doi.org/10.1007/978-94-015-9095-2_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5106-6

  • Online ISBN: 978-94-015-9095-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics