Subject: Phase separation of the components of a binary fluid (AC)
Instructions/advices:
The main paper to start with for the possible algorithms leading to a practical scheme for solving the Cahn-Hilliard equation is Lee_CMS2014.pdf
Jamet.pdf gives details about the physics of phase separation for a binary fluid and the derivation of the Cahn-Hilliard equation you will solve numerically.
DJ.Eyre_1998.pdf is useful if you are interested in the way to perform an operator splitting that will stabilize some of the schemes you may write naively.
TCGPhysica1995.pdf will possibly give you some ideas of diagnostics that you can implement, once your solver will be running, to characterize the patterns obtained in phase separation.
To compile the LaTeX report in document/ just run the command pdflatex report.tex from the document/ directory after getting all correct dependencies.
Specifically, you can install texlive-latex-extra from the texlive distribution to get the basic packages.
Then, to get Polytechnique's styling and graphical packages you need to also install the polytechnique package of the group typographix.
It isn't enough anymore for the newer versions of report.tex to compile it using just packages readily available on latex distributions like texlive.
You need to be able to use Polytechnique's styling packages.
Install them system-wide or decompress the package's files on the document/ folder.
Remember, for the pdflatex command the order of the options matters.
If you want to set an output directory, the -output-directory option should come before the name of the .tex file to be compiled.
This way you can compile the report directly from the root directory of the project into document/.
pdflatex -output-directory document document/report.tex
-halt-on-error is also a good option to avoid unnecessary error prompts.