MagnetoBLI said:
I understand that, in general, not many analytical fluid dynamics solutions exist.
Usually only in ideal cases. In most cases, fluid behavior is non-linear, e.g., turbulent flow, and particularly heated and/or high velocity flows, and particularly if there is fluid-structure interaction.
quote]Does this mean novel numerical solutions are being developed to understand these more complex flows? Does scientific discovery exist in fluid dynamics or is it mostly new techniques of modelling known phenomena? [/QUOTE] Yes. CFD. Scientific discovery exists in fluids as well as in techniques for simulating flow.
here are four major areas for plasma physics:
1. Stellar interiors and atmosphere (photosphere, chromosphere and corona, and transition zones)
2. Stellar exteriors - outside the corona
3. Terrestrial plasmas for fusion
4. Low temperature plasmas or weakly ionized gases for manufacturing and other applications.
Some basics:
Alan Hood's text on fundamentals of plasma physics
http://www-solar.mcs.st-and.ac.uk/~alan/MT3601/Fundamentals/Fundamentals.html
Richard Fitzpatrick's notes
https://www.physicsforums.com/showthread.php?t=22090
http://farside.ph.utexas.edu/papers/papers.html
http://farside.ph.utexas.edu/teaching/plasma/plasma.html
http://farside.ph.utexas.edu/teaching.html - Physics courses
There is a lot of research in Computational Plasma Physics
http://wiki.cpp.alecthomas.com/wiki/Main_Page
Computational Plasma Physics: With Applications To Fusion And Astrophysics (Frontiers in Physics)
Toshi Tajima
https://www.amazon.com/dp/0813342112/?tag=pfamazon01-20
http://www.theorie.physik.uni-muenchen.de/lsruhl/index.html
https://math.nyu.edu/faculty/garabedi/index.html
Computational Models of Magnetic Fusion - HOW THE DEMO FUSION REACTOR
SHOULD LOOK IF ITER FAILS
https://math.nyu.edu/faculty/garabedi/magnetic_fusion.pdf
Computational Plasma Physics Group - Princeton - PPPL
http://w3.pppl.gov/cppg/
http://www-maths.mcs.st-andrews.ac.uk/pg/applied/plasma.shtml
The DOE ACTS (Advanced CompuTational Software) Collection
http://acts.nersc.gov/
Handbook of Plasma Processing Technology: Fundamentals, Etching, Deposition, and Surface Interactions
http://books.google.com/books/about/Handbook_of_Plasma_Processing_Technology.html?id=bBjpoLsyycMC
http://www.knovel.com/web/portal/browse/display?_EXT_KNOVEL_DISPLAY_bookid=522
Plasma Processing Technology Lab - U of Wisconsin
http://pptl.engr.wisc.edu/research.html
Fusion Doctoral Training Network - University of York, Heslington, York, Yorkshire, UK
http://www.york.ac.uk/physics/postgraduate/fusion-dtn/introduction/
Universities of Durham, Liverpool, Manchester, Oxford and York, in collaboration with the Culham Centre for Fusion Energy (CCFE) and the Central Laser Facility, and with funding support from the EPSRC.
http://www.york.ac.uk/physics/ypi/
http://www.yorkpress.co.uk/news/business/news/9955360.Official_opening_for_York_Plasma_Institute/
University of Manchester
http://www.manchester.ac.uk/research/neil.salmon/research
http://www.physics.manchester.ac.uk/research/
A basic overview of fusion
http://www.jodrellbank.manchester.ac.uk/~bm/Teaching/en_sources/Lecture_notes/Lecture8_fusion_notes.pdf
Looks like a nice place to study Astro and Particle physics.
University of Innsbruck, Institute for Astro- and Particle Physics
http://www.uibk.ac.at/astro/
http://www.uibk.ac.at/dk-cim/projects/kimeswenger/index.html.en
at ESA - http://www.esa.int/gsp/ACT/opportunities/RF/ACT-2010-Research%20Fellow%20in%20Plasma%20Physics%20and%20Advanced%20Propulsion.pdf
These are just a sampling of opportunities out there.