Numerical schemes for scale-invariant PDEs that preserve scaling symmetry in time
10:00am - 11:00am /
Tuesday 29th September 2015
Type: Seminar /
Category: Department
- 01517944001
- Mrs J. Seed
- Suitable for: staff and students
- Admission: free
- Book now
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Professor Michael Baines (University of Reading - former Director of ICFD) will be the speaker. Abstract of talk:
Self-similar scaling solutions of scale-invariant nonlinear partial differential equations play an important role in understanding the behaviour of physical phenomena. Such solutions possess time-invariant integrals (conservation of mass), as do their $L_2$ projections.
Conversely, conservation of mass In time implies that self-similar solutions are evolved exactly
(symmetry preservation). A moving mesh numerical scheme is described which aims to reproduce scaling symmetry in the
event that the initial data coincides with a self-similar solution.
Self-similar scaling solutions of scale-invariant nonlinear partial differential equations play an important role in understanding the behaviour of physical phenomena. Such solutions possess time-invariant integrals (conservation of mass), as do their $L_2$ projections.
Conversely, conservation of mass In time implies that self-similar solutions are evolved exactly
(symmetry preservation). A moving mesh numerical scheme is described which aims to reproduce scaling symmetry in the
event that the initial data coincides with a self-similar solution.