__OpenGL simulation of the 3D geometry of a system
of crystal growth__

written by Arye Meir

This project is an openGl - Mesa visualization of a demo for computing the temperature field ,during the solidification of a crystal from the melt .

It is basically a tool for the visualization of the domain on which we do our computations; by this we apply tools for the better understanding of the geometry constraints we apply during the evaluations of the radiative terms in the heat equations;

The program gives some tools for rendering the object like applying clipping plains to cut the object at different plains ,so you can see what a point in the inner crucible sees, applying a point light source to the object ,to get the feeling of what the shadow-temperature field looks like , if we have a point source of radiation-light, rotating the object to see it from different angles and plotting the temperature field as contours on the inner crucible, to show the results of the computations.

**The
project set of tools- **to
compile and run the project you should have some files : the openGL-Mesa
source file is *visualproj.c* it needs an input file *input.inp*
: the temperature field points on the inner crucible , you have also the
executable *visualproj* that runs on linux pc's platforms . if you
are interested in the temperature field computations program , you need
the file *st53.f* which is the source code and two input files *fembspi.res
*and
*femb7.inp* the first one is the initial guess ,the second one is
the set of parameters; you can get the executable for linux platforms
*st53*
,but you need the input files to run it.

Compiling
the programs- for the openGL source you need to get the Makefile
then just type *make visualproj *the makefile assumes you have the
Mesa and glut libraries in */usr/lib* ,if not ,you should change the
libs directory in the make file ,for other platforms you need to know some
parameters of the system like: the C compiler, the flags and the location
of the Xlibs and the openGL libs (I hope to give an executable for win32
),for running just type ./*visualproj .*

For compiling
the computational source you need to have a fortran compiler ,then just
type *f77 -O2 st53.f -o st53 ,*then running it by *./st53 *there
is a part in the source where you can choose to solve the equations for
the radiation fluxes (see the documentation file) with a set of lapack
commands ,if you choose to do so ,compile with
*f77 -O2 st53.f -o st53
-llapack *this procedures do not depend on the platform you are using.

using
the visualproj program - type ./*visualproj* to run the program
, you should see the object , then click on the mouse's right button to
get the menu every choice is made just like making choices in windows,
if you choose to rotate the object it is done by moving the mouse (like
a flight simulator )

Documentation - to get the documentation for the program just follow the link documentation.html there you can get full documentation for the openGL source and a minimal one for the computational source.

Some Theory - You can find the theoretical and mathematical aspects of the problem in Theoretical Analysis.html

Some examples - these are some examples made by me with the visual program using the input file given here.

A plain example of the model

Temperature
contours on the inner crucible

A diagonal light from a point source

Getting the programs

Need
more help: if you want
to contact me
cearye@tx.technion.ac.il