SCATTERING OF SOUND:

Scattering of an incident plane wave u^I(x) = exp(ikx.d) with wavenumber k=100.531
propogating in the x-direction d= [1 0 0]  by a peanut shaped  sound soft obstacle  
of   size    sixteen times     the  wavelength.
 
The scattered field is denoted by u^S and the total field is u = u^I+u^S



The obstacle obstacle with plane
 
     The peanut shaped obstacle                                yz-plane (x=0) sliced through the obstacle  

Near Field Real Near Field Intensity

    Near Field (real(u))  on a yz-plane                                Near Field Intensity (|u|) on a yz-plane



            
 Complete details of the method, analysis and implemenation
(and other high-frequency, acoustically large 3-D obstacle scattering)
can be found in a recent paper by M. Ganesh and I.G. Graham

M. Ganesh and I.G. Graham,
 A  high-order  algorithm for obstacle scattering in three dimensions
 (J. Comp. Phys.,198, 2004, 211-242)          
 

TUMOUR GROWTH:
   

Simulation of out-growth of invading cancer cells  from regions of a tumour surface
  

 For complete details of the method, analysis and implemenation, see

M. Chaplain, M. Ganesh and I.Graham

Spatio-temporal pattern formation on spherical
  surfaces: numerical simulation and application to
   solid tumour growth  (with M. Chaplain and I.Graham).

        J.Math. Biology., 42 (2001), 387-423.