Master thesis project for students at KTH
http://www.nada.kth.se/~jaun/Projects.html
NADA, Royal Institute of Technology, Stockholm, Sweden
Galerkin Wavelet Method for global waves in 1 dimension
In a plasma where two types of waves propagate with the same phase velocity,
a linear coupling occurs through which energy can be transfered from one wave
branch to another.
This so-called mode-conversion phenomenon has been known for decades
in basic plasma science and plays a major role in the heating and current
generation with waves.
The shear complexity of the problem, however, made it impossible to solve
in anything but the simplest 1D configurations. Only recently, with the
advent of powerful computers and sophisticated mathematical methods, has
it become possible to tackle the 2D geometry of a tokamak using either a
global or a
ray-tracing approach.
Aiming at major improvement of efficiency in the former, this project
consists in formulating a Galerkin discretisation using both finite
elements and wavelets to solve increasingly sophisticated time in- /
dependent model wave equations in 1D.
Special care will be devoted to the boundary conditions, the convergence
and the cost for computing overlap integrals and solving the linear system
iteratively.
This is an ambitious project in numerical analysis for a student who is
willing to explore a new territory that could have a major impact in
computational plasma physics.
For further information, contact
André JAUN
and consult
http://www.nada.kth.se/~jaun.