Title: A shock capturing method for inert and reactive multi-material flows

Speaker: Jeffrey W. Banks, Ph.D Candidate, Rennselaer Polytechnic Institute

Date/Time: Wednesday, February 15, 2006, 9:30 – 10:30 am

Location: Building 980, Room 95 (Sandia NM)

Brief Abstract: We consider the solution of the multi-material Euler equations using a shock capturing scheme.  The method relies at its core on a high resolution Godunov type scheme which has been suitably extended to operate with general equations of state.  Discretization of the conservative equations is performed on a series of logically rectangular overlapping grids which can be used to represent complicated domains.  Adaptive mesh refinement (AMR) is introduced in this context and the method is extended to make use of this facility.

Difficulties arising from the captured material interface are addressed by the addition of a numerical source to the energy equation.  The effects of this source are investigated numerically and the scheme is shown to behave favorably.  To this end a number of test cases are developed and analytic solutions for these problems are presented.  A selection of simulations is then presented to demonstrate the capabilities of the method.

CSRI POC: John N. Shadid, (505) 845-7876