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YouTube-simulations/README.md
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2024-06-01 19:13:57 +02:00

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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.cand 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:

  1. sub_maze.c

The files

  1. *.ppm.gz

are required by wave_sphere.c and rde.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