Shear localisation with 2D Viscous Froth and its relation to the Continuum Model 17 Model and on the value of the HB exponent. In addition, the dependence of the magnitude of the stress overshoot Δ on µ$_{2}$ ( A ) will be investigated as it is critical to our understanding of its role as a mechanism for shear local- isation. It will be of interest to observe what happens to the location of the shear-band for samples with higher µ$_{2}$ ( A ), in light of the results published in [33]. We also intend to compare our VF simulations with simulations using the Soft Disk Model [24]. The author would like to acknowledge IRCSET Embark for funding this project. IITAC, the HEA, the National Development Plan and the Trinity Centre for High Per- formance Computing are acknowledged for the use of the computing facilities at TCD. S.J. Cox, Aberystwyth is thanked for his useful input and correspondence in rela- tion to this work. This publication has emerged from re- search conducted with the financial support of the Euro- pean Space Agency (MAP AO-99-108:C14914/02/NL/SH and AO-99-075:C14308/00/NL/SH). This material is based upon works supported by the Science Foundation Ire- land under Grant No. (08/RFP/MTR1083 and STTF 08). We would also like to thank the anonymous referees whose input helped greatly in improving the quality of this manuscript. 8 Acknowledgements 1. Barber C, Dobkin D, Huhdanpaa H (1996) The quickhull algorithm for convex hulls. ACM Trans- actions on Mathematical Software 22(4):469–483 2. Bolton F, Weaire D (1990) Rigidity loss translation in a disordered 2d-froth. Physical Review Letters 65(27):3449–3451 3. Bragg L, Nye J (1947) A dynamical model of a crys- tal structure. Proceedings of the Royal Society of London, Series A 190(1023):474–481 4. Brakke KA (1996) The surface evolver and the sta- bility of liquid surfaces. Philosophical Transactions of the Royal Society of London, Series A 354:2143– 2157 5. Bretherton F (1961) The motion of long bubbles in tubes. Journal of Fluid Mechanics 10:16 6. Clancy R, Janiaud E, Weaire D, Hutzler S (2006) The response of 2d foams to continuous applied shear in a couette rheometer. The European Phys- ical Journal E: Soft Matter and Biological Physics 21(2):123–132 7. Cox S (2005) A viscous froth model for dry foams in the surface evolver. Colloids and Surfaces A: Physic- ochemical and Engineering Aspects 263(1-3):81 – 89 8. Debreg´eas G, Tabuteau H, di Meglio J (2001) Deformation and flow of a two-dimensional foam under continuous shear. Physical Review Letters 87(17):178 305 References