[BANANA] Linear Algebra/Optimization Seminar, Wed Nov 28

Michael A. Saunders saunders at stanford.edu
Mon Nov 26 00:01:10 PST 2007


   Linear Algebra and Optimization Seminar
   Stanford University
   http://icme.stanford.edu/seminars/seminar.php?seminar_id=2&current=true

   4:15pm Wed Nov 28, 2007
   Rm 326 Wallenberg Hall (Bldg 160)

   Flows at all Mach numbers and sequences of linear systems

   Philipp Birken, Universitat Kassel
   birken at mathematik.uni-kassel.de
   http://www.mathematik.uni-kassel.de/~birken/

One problem for finite volume solvers for compressible flow is
the computation of flows at low Mach numbers.  The reasons are
mainly that modern shock-capturing methods were developed for
high Mach numbers and that the flow equations become increasingly
stiff as the Mach number approaches the singular limit M=0.

In practice, the Mach number and the compressibility properties
of the flow may vary significantly, as will be demonstrated on
problems from steel forging and tunnel fires, making the
development of methods that can deal with all Mach numbers
desirable.  Because of the stiffness, implicit time integration
methods are employed, which eventually leads to systems of
linear equations. Here, an updating technique for block ILU
preconditioners will be presented.


Next week:
David Ciaurri, Optimizations in the Oil Industry
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