Timothy Williams

Job Position: 
Post-doc
 
Department: 
Mohn-Sverdrup Center for Global Ocean Studies and Operational Oceanography
 
Group: 
Modelling and Data Assimilation Group
 
E-mail: 
 
Phone: 
+47 465 48 931
 
Personal Home Page: 
Mendeley profile (with pdf files for some publications)
 
Field of Research: 
mathematics
 

Main Research Area

Ocean Modelling, Data Assimilation and Forecasting
Timothy Williams Staff Picture

My main expertise is in applied mathematics, modelling water wave propagation in the presence of floating bodies (like ice sheets, for example). I have other interests in elasticity, wave propagation in random media, and mathematical techniques such as the Wiener-Hopf and residue calculus techniques. I am currently working on including the interactions between waves and sea ice in the MIZ (marginal ice zone) in a nested configuration of HYCOM (HYbrid Coordinate Ocean Model, nested inside an outer TOPAZ model) that has been set up in the Fram Strait.

Peer Review Publications and Books

16 total publications.

Submitted

  1. Williams, TD, Parnell, WJ . Submitted . Effective antiplane properties of an orthotropic solid weakend by a periodic distribution of cracks . Q. J. Mech. Appl. Math.
  2. Williams, TD, Bennetts, LG, Squire, VA, Dumont, D, Bertino, L . Submitted . Wave-ice interactions in the marginal ice zone. Part 1: Theoretical foundations . Ocean Modelling
  3. Williams, TD, Bennetts, LG, Squire, VA, Dumont, D, Bertino, L . Submitted . Wave-ice interactions in the marginal ice zone. Part 2: Numerical implementation and sensitivity studies along 1D transects of the ocean surface . Ocean Modelling

In Press

  1. Smith, MJA, Porter, R, Williams, TD . In Press . The effect on bending waves by defects in pinned elastic plates. . J. Sound Vib.

2012

  1. Williams, TD, Meylan, MH . 2012 . The Wiener-Hopf and residue calculus solutions for a submerged semi-infinite elastic plate . 81-106 . J. Eng. Maths. . 75

2010

  1. Williams, TD, Squire, VA . 2010 . On the estimation of sea-ice thickness using wave observations . 2–3 . 215–233 . Dynamics of Atmospheres and Oceans . 49
  2. Bennetts, LG, Williams, TD . 2010 . Wave scattering by ice floes and polynyas of arbitrary shape . 5-35 . J. Fluid Mech. . 662

2009

  1. Williams, TD, Porter, R . 2009 . The effect of submergence on the scattering by the interface between two semi-infinite sheets . 777–793 . Journal of Fluids and Structures . 25

2008

  1. Williams, TD, Squire, VA . 2008 . Wave propagation across sea-ice thickness changes . 1–2 . 1–11 . Ocean Modelling . 21
  2. Williams, TD, Squire, VA . 2008 . The effect of submergence on wave scattering across a transition between two floating flexible plates . 3 . 361–379 . Wave Motion . 45

2007

  1. Williams, TD, Squire, VA . 2007 . Wave scattering at the sea-ice/ice-shelf transition with other applications . 4 . 938–959 . SIAM J. Appl. Math. . 67
  2. Vaughan, GL, Williams, TD, Squire, VA . 2007 . Perfect transmission and asymptotic solutions for reflection of ice-coupled waves by inhomogeneities . 371–384 . Wave Motion . 44

2006

  1. Williams, TD, Squire, VA . 2006 . Scattering of flexural-gravity waves at the boundaries between three floating sheets with applications . 113-140 . J. Fluid Mech. . 569

2004

  1. Williams, TD, Squire, VA . 2004 . Oblique Scattering of Plane Flexural-Gravity Waves by Heterogeneities in Sea-Ice . 3469–3497 . Proc. R. Soc. Lon. A . 460
  2. Williams, TD, Squire, VA . 2004 . The scattering of flexural-gravity waves by an ice field . 3 . 161–168 . International Journal of offshore and Polar Engineering . 14

2002

  1. Williams, TD, Squire, VA . 2002 . Wave propagation across an oblique crack in an ice sheet . 157–162 . Intl. J. Offshore Polar Engng. . 12

Other Publications and Works

Submitted

  1. Williams, TD, Bennetts, LG, Squire, VA, Dumont, D . Submitted . Preliminary results from a two-dimensional model of wave-ice interactions in the Fram Strait . Offshore Technology Conference . Arctic Technology Conference

2004

  1. Williams, TD . 2004 . Scattering of oblique ice-coupled waves by a pressure ridge . 227–234 . St Petersburg . IAHR Symposium on Ice . 1

2001

  1. Font, J, Gaspar, P, Guymer, TH, Johannessen, JA, van der Kolff, G, le Provost, C, Ratier, A, Williams, TD, Flemming, NC . 2001 . Operational Ocean Observations from Space . ? . EuroGOOS Publication No. 16