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SUMMARY:A conservative level-set based method for multi-components problem
 s on fixed grids - Ben Obadia (Cranfield University)
DTSTART:20120203T110000Z
DTEND:20120203T123000Z
UID:TALK36673@talks.cam.ac.uk
CONTACT:Dr Nikolaos Nikiforakis
DESCRIPTION:A three-dimensional Eulerian method is presented for the simul
 ation of multi-components flows\, from shock impacts between compressible 
 fluids to fluid-structure interaction\, with elastic-plastic deformations.
  The main purpose of that numerical method is to cope with the issues usua
 lly encountered during such interactions:\n\n- keeping a sharp interface e
 ven when large deformations occur during impacts problems\;\n\n- nonlinear
  wave-propagation in the different media\;\n\n- accurate modeling of the c
 onstitutive properties of the solid medium under strong shock\, and calcul
 ation of its elasto-plastic behavior in an Eulerian frame.\n\nThe interfac
 e tracking between materials relies on the use of level-set functions. A n
 ew conservative technique has been developed\, where cut-cells at the inte
 rface are identified and treated specifically. As such cells might have ex
 tremely small volume fractions\, the CFL condition required for stability 
 might become extremely small as well\, driving the simulation to a potenti
 ally infinitely long computational time. To overcome this problem\, a mass
 \, momentum\, and energy redistribution among the neighboring cells is use
 d\, ensuring simultaneously conservation. This approach had been previousl
 y investigated and implemented in 2D\, and is here extended to 3D.\n\nEach
  phase\, except at the neighbourhood of the interface\, is treated indepen
 dently with traditional shock-capturing schemes. High-order accuracy is ac
 hieved by incorporating the weighted-essentially non-oscillatory (WENO) me
 thod\, and Runge-Kutta time integration. For solid/fluid problems\, a dedi
 cated Riemann solver has also been developed to comply to the interface tr
 eatment.\n\nThis whole numerical scheme is demonstrated using 1D\, 2D and 
 3D calculations. This includes initial values problems for 1D testcases\, 
 whilst the 2D and 3D problems come essentially from previous numerical stu
 dies\, whether for strong fluid/fluid and fluid/solid interaction.
LOCATION:Seminar Room B\, Rutherford Building\, Cavendish Laboratory
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