112 lines
5.1 KiB
Markdown
112 lines
5.1 KiB
Markdown
### Tool to create videos of particles or waves in different 2D domains.
|
|
|
|
Created by **Nils Berglund** and optimized by **Marco Mancini**
|
|
|
|
C code for videos on YouTube Channel https://www.youtube.com/c/NilsBerglund
|
|
|
|
Parameter values used in specific simulations will be gradually added to file `Parameters.md`, `Parameters_June21.md` and so on.
|
|
|
|
There are three groups of 6 files, 17 files and 4 files.
|
|
In addition the following files handling color schemes have been included:
|
|
|
|
1. `hsluv.c`and `hsluv.h` from https://github.com/adammaj1/hsluv-color-gradient
|
|
2. `turbo_colormap.c` from https://gist.github.com/mikhailov-work/6a308c20e494d9e0ccc29036b28faa7a
|
|
3. `colormaps.c` containing look-up tables from https://github.com/yuki-koyama/tinycolormap
|
|
|
|
### Simulations of classical particles in billiards.
|
|
|
|
1. *particle_billiard.c*: simulation of a collection of non-interacting particles in a billiard
|
|
2. *drop_billiard.c*: simulation of an expanding front of particles
|
|
3. *particle_pinball.c*: variant of `particle_billiard` with some extra statistics plots
|
|
4. *global_particles.c*: global variables and parameters
|
|
5. *sub_part_billiard.c*: drawing/computation routines common to `particle_billiard` and `drop_billiard`
|
|
6. *sub_part_pinball.c*: additional drawing/computation routines for `particle_pinball`
|
|
|
|
|
|
- Create subfolders `tif_part`, `tif_drop`
|
|
- Customize constants at beginning of .c file
|
|
- Compile with
|
|
|
|
`gcc -o particle_billiard particle_billiard.c-O3 -L/usr/X11R6/lib -ltiff -lm -lGL -lGLU -lX11 -lXmu -lglut`
|
|
|
|
`gcc -o drop_billiard drop_billiard.c-O3 -L/usr/X11R6/lib -ltiff -lm -lGL -lGLU -lX11 -lXmu -lglut`
|
|
|
|
- Many laptops claim to have 4 cores, but two of those are virtual. OMP acceleration may be more effective after executing
|
|
|
|
`export OMP_NUM_THREADS=2`
|
|
|
|
in the shell before running the program
|
|
|
|
- Generate movie with
|
|
|
|
`ffmpeg -i part.%05d.tif -vcodec libx264 part.mp4`
|
|
|
|
### Simulations of wave equation and reaction-diffusion equations, including the Schrodinger equation.
|
|
|
|
1. *wave_billiard.c*: simulation of the (linear) wave equation
|
|
2. *wave_3d.c*: 3d rendering of wave equation
|
|
3. *wave_comparison.c*: comparison of the wave equation in two different domains
|
|
4. *wave_energy.c*: a version of `wave_billiard` plotting the energy profile of the wave
|
|
5. *mangrove.c*: a version of `wave_billiard` with additional features to animate mangroves
|
|
6. *heat.c*: simulation of the heat equation, with optional drawing of gradient field lines
|
|
7. *rde.c*: simulation of reaction-diffusion equations, plots in 2D and 3D (including Schrödinger equation)
|
|
8. *schrodinger.c*: simulation of the Schrodinger equation in 2D (old version)
|
|
9. *global_pdes.c*: global variables and parameters
|
|
10. *global_3d.c*: additional global variables for 3d version
|
|
11. *sub_wave.c*: drawing/computation routines common to `wave_billiard`, `heat` and `schrodinger`
|
|
12. *sub_wave_comp.c*: some modified functions needed by `wave_comparison`
|
|
13. *sub_wave_3d.c*: additional functions for 3d version
|
|
14. *common_wave.c*: common functions of `wave_billiard` and `wave_comparison`
|
|
15. *colors_waves.c*: colormaps used by wave simulations
|
|
16. *sub_rde.c*: additional routines for rde.c
|
|
17. *sub_wave_rde_3d.c*: additional 3d drawing routines for rde.c
|
|
|
|
- Create subfolders `tif_wave`, `tif_heat`, `tif_schrod`
|
|
- Customize constants at beginning of .c file
|
|
- Compile with
|
|
|
|
`gcc -o wave_billiard wave_billiard.c -L/usr/X11R6/lib -ltiff -lm -lGL -lGLU -lX11 -lXmu -lglut -O3 -fopenmp`
|
|
|
|
`gcc -o wave_comparison wave_comparison.c -L/usr/X11R6/lib -ltiff -lm -lGL -lGLU -lX11 -lXmu -lglut -O3 -fopenmp`
|
|
|
|
`gcc -o heat heat.c -L/usr/X11R6/lib -ltiff -lm -lGL -lGLU -lX11 -lXmu -lglut -O3 -fopenmp`
|
|
|
|
`gcc -o schrodinger schrodinger.c -L/usr/X11R6/lib -ltiff -lm -lGL -lGLU -lX11 -lXmu -lglut -O3 -fopenmp`
|
|
|
|
- Many laptops claim to have 4 cores, but two of those are virtual. OMP acceleration may be more effective after executing
|
|
|
|
`export OMP_NUM_THREADS=2`
|
|
|
|
in the shell before running the program
|
|
|
|
- Generate movie with
|
|
|
|
`ffmpeg -i wave.%05d.tif -vcodec libx264 wave.mp4`
|
|
|
|
### Molecular dynamics simulations.
|
|
|
|
1. *lennardjones.c*: simulation of molecular dynamics
|
|
2. *global_ljones.c*: global variables and parameters
|
|
3. *sub_lj.c*: drawing and initialization routines
|
|
4. *sub_hashgrid.c*: hashgrid manipulation routines
|
|
|
|
- Create subfolder `tif_ljones`
|
|
- Customize constants at beginning of .c file
|
|
- Compile with
|
|
|
|
`gcc -o lennardjones lennardjones.c -L/usr/X11R6/lib -ltiff -lm -lGL -lGLU -lX11 -lXmu -lglut -O3 -fopenmp`
|
|
|
|
- Generate movie with
|
|
|
|
`ffmpeg -i lennardjones.%05d.tif -vcodec libx264 lennardjones.mp4`
|
|
|
|
#### Some references ####
|
|
|
|
- Discretizing the wave equation: https://hplgit.github.io/fdm-book/doc/pub/wave/pdf/wave-4print.pdf
|
|
- Absorbing boundary conditions: https://hal.archives-ouvertes.fr/hal-01374183
|
|
- Cloaking device: https://www.sciencedirect.com/science/article/pii/S0165212514001759
|
|
- Poisson disc sampling: https://bl.ocks.org/mbostock/dbb02448b0f93e4c82c3
|
|
- Thermostat algorithm: https://doi.org/10.1007/s10955-009-9734-0
|
|
or http://www.maths.warwick.ac.uk/~theil/HL12-3-2009.pdf
|
|
|