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| | Project C3: Phase transitions in thermoelasticity and compressible fluids | | | |
This project deals with dynamic phase transition problems arising in shape
memory alloys developing microstructure, in compressible fluids undergoing
gas-liquid-transitions, or during the formation of neutron stars in astrophysics.
The mathematical sharp-interface model for all these phenomena are systems
of hyperbolic-elliptic conservation laws. A locally adaptive finite volume method (FVM)
to solve the conservation laws in 2D/3D will be developed. The novel approach is to
evolve the phase boundary by a level set (LS) technique. The code will be
validated on test problems, embedded into a parallel environment, and
applied to specific problems. The method will be analyzed with respect
to stability and convergence.
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Project leaders |
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Prof. Dr. Dietmar Kröner
Institut für Angewandte Mathematik
Albert-Ludwigs-Universität
Hermann-Herder-Str. 10
D-79104 Freiburg im Breisgau
Tel. +49 761 203-5637
Fax +49 761 203-5632
dietmar@mathematik.uni-freiburg.de
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Dr. Christian Rohde
Universität Stuttgart
Institut für Angewandte Analysis und
Numerische Simulation
Pfaffenwaldring 57
D-70569 Stuttgart
Tel./Fax +49 711 685-5524/-5599
Christian.Rohde mathematik.uni-stuttgart.de
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