Professor David Porter Professor of Applied Mathematics (Personal Professorship) Telephone: +44 (0)118 9318998 Secretary: +44 (0)118 9318996 Fax: +44 (0)118 9313423 email: D.Porter@reading.ac.uk

Research Interests

Fluid Mechanics

• Wave phenomena, especially water waves and their scattering and trapping by topography and obstacles.

• Nonlinear atmospheric flows over orography.

Applied Analysis

• The development of structural and approximation methods for integral equations.

• Upscaling methods.

Recent & Current PhD students

Joel Goodwin 1994 - 97 - numerical calculation of wave diffraction

Nick Biggs 1995 - 98 - embedding methods in wave diffraction

Jez Hoyle 1996 - 99 - water wave scattering

Mark Wakefield 1999 - - upscaling in oil recovery methods

Links to people with similar research interests

• Pete Chamberlain and David Stirling at Reading University.
  

• Nick Biggs at Keele University.
  

• David Evans and Richard Porter at Bristol University
  

• Phil McIver, Maureen McIver and Chris Linton at Loughborough University
  

• Paul Martin at the Colorado School of Mines.
  

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  Recent & Forthcoming Publications

  
  

  Chamberlain, P.G. & Porter, D. Approximations to wave trapping by topography. J. Fluid Mech. 325, 357-376, 1996.

  
  

  Staziker, D.J., Porter, D. & Stirling, D.S.G. The scattering of surface waves by local bed elevations. Applied Ocean Research 18, 283-291, 1996.

  
  

  Broad, A. S., Porter, D. & Sewell, M. J. New shallows flows over an obstacle. Q. Jl.Mech. appl. Math. 50, 625-653, 1997.

  
  

  Porter, D. & Chamberlain, P.G. Linear wave scattering by two-dimensional topography. In Gravity Waves in Water of Finite Depth, Ed. J.N.Hunt, Computational Mechanics, 13 - 53, 1997.

  
  

  Chamberlain, P.G. & Porter, D. Scattering and near-trapping of water waves by axisymmetric topography. J. Fluid Mech. 388, 335-354, 1999.

  
  

  Chamberlain, P.G. & Porter, D. On the solution of the dispersion relation for water waves. Applied Ocean Research 21, 161-166, 1999.

  
  

  Porter, R. & Porter, D. Wave scattering by a step of arbitrary profile. J. Fluid Mech. 411, 131-164, 2000.

  
  

  Biggs, N.R.T, Porter, D. & Stirling, D.S.G. Wave diffraction through a perforated breakwater. Q. Jl. Mech. appl. Math. 53, 375-391, 2000.

  
  

  Porter, D. & Stirling, D.G.S. Integral equations of Sturm-Liouville type. Integr. equ. oper. theory 38, 51-65, 2000.

  
  

  Porter, R. & Porter, D. Interaction of water waves with three-dimensional periodic topography. J. Fluid Mech. 434, 301-335, 2001.

   

  Biggs, N.R.T. & Porter, D. Wave diffraction through a perforated barrier of non-zero thickness. Q. Jl. Mech. appl. Math. 54, 523-547, 2001.

   

  Biggs, N.R.T. & Porter, D. Wave scattering by a perforated duct. (To be published in Q. Jl. Mech. appl. Math.)

   

   

  and on the way…

   

  Porter, R. & Porter, D.  Scattered and free waves over periodic beds. 

   

  Biggs, N.R.T. & Porter, D.  Integral equation systems with weighted difference kernels.

   

  
  

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