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https://github.com/nilsberglund-orleans/YouTube-simulations

Code for simulations on YouTube
https://github.com/nilsberglund-orleans/YouTube-simulations

Last synced: 21 days ago
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Code for simulations on YouTube

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README 

        
### 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 four groups of 8 files, 19 files, 5 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



The following file (beta version) provides support for creating mazes:



4. `sub_maze.c`



The files 



5. `*.ppm.gz` 



are required by `wave_sphere.c` and should be unzipped before compiling. 



### 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. *billiard_phasespace.c*: variant of `particle_billiard` for phase portraits (only works for certain shapes)

5. *global_particles.c*:    global variables and parameters

6. *sub_part_billiard.c*:   drawing/computation routines common to `particle_billiard` and `drop_billiard`

7. *sub_part_pinball.c*:    additional drawing/computation routines for `particle_pinball`

8. *sub_billiard_phasespace.c*:  additional drawing/computation routines for `billiard_phasespace`



- Create subfolders `tif_part`, `tif_drop`

- Customize constants at beginning of .c file

- Compile with `make particle_billiard`, `make_drop_billiard`, etc, or



`gcc -o particle_billiard particle_billiard.c-O3 -L/usr/X11R6/lib -ltiff -lm -lGL -lGLU -lX11 -lglut`



`gcc -o drop_billiard drop_billiard.c-O3 -L/usr/X11R6/lib -ltiff -lm -lGL -lGLU -lX11 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_sphere.c*:      wave equation on a sphere (3d and 2d render)

4. *wave_comparison.c*:  comparison of the wave equation in two different domains

5. *wave_energy.c*:      a version of `wave_billiard` plotting the energy profile of the wave

6. *mangrove.c*:         a version of `wave_billiard` with additional features to animate mangroves

7. *heat.c*:             simulation of the heat equation, with optional drawing of gradient field lines

8. *rde.c*:              simulation of reaction-diffusion equations, plots in 2d and 3d (including Schrödinger equation, 

                         Euler equation, and shallow water equation)

9. *schrodinger.c*:      simulation of the Schrodinger equation in 2d (old version)

10. *global_pdes.c*:      global variables and parameters

11. *global_3d.c*:        additional global variables for 3d version

12. *sub_wave.c*:         drawing/computation routines common to `wave_billiard`, `heat` and `schrodinger`

13. *sub_wave_comp.c*:    some modified functions needed by `wave_comparison`

14. *sub_wave_3d.c*:      additional functions for 3d version

15. *common_wave.c*:      common functions of `wave_billiard` and `wave_comparison`

16. *colors_waves.c*:     colormaps used by wave simulations

17. *sub_rde.c*:          additional routines for rde.c

18. *sub_wave_rde_3d.c*:  additional 3d drawing routines for rde.c

19. *sub_sphere.c*:       additional routines for wave_sphere.c



- Create subfolders `tif_wave`, `tif_heat`, `tif_bz`, `tif_schrod`

- Customize constants at beginning of .c file

- Compile with `make wave_billiard`, etc, or



`gcc -o wave_billiard wave_billiard.c -L/usr/X11R6/lib -ltiff -lm -lGL -lGLU -lX11 -lglut -O3 -fopenmp`



`gcc -o wave_comparison wave_comparison.c -L/usr/X11R6/lib -ltiff -lm -lGL -lGLU -lX11 -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 -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

5. *lj_movie.c*:          render movie with precomputed particle positions 

                          (requires files lj_time_series.dat and lj_final_positions.dat generated by lennardjones)



- Create subfolder `tif_ljones`

- Customize constants at beginning of .c file

- Compile with `make lennardjones` or



`gcc -o lennardjones lennardjones.c -L/usr/X11R6/lib -ltiff -lm -lGL -lGLU -lX11 -lglut -O3 -fopenmp`



- Generate movie with 



`ffmpeg -i lennardjones.%05d.tif -vcodec libx264 lennardjones.mp4`



### Percolation simulations.



1. *percolation.c*:     simulation of Bernoulli percolation 

2. *global_perc.c*:     global variables and parameters

3. *sub_perco.c*:       drawing and cluster finding routines

4. *sub_perco_3d.c*:    3D drawing routines



- Create subfolder `tif_perc`

- Customize constants at beginning of .c file

- Compile with `make percolation` or 



`gcc -o percolation percolation.c -L/usr/X11R6/lib -ltiff -lm -lGL -lGLU -lX11 -lglut -O3 -fopenmp`



- Generate movie with 



`ffmpeg -i percolation.%05d.tif -vcodec libx264 percolation.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