goals[edit]

• to be as simple as possible to allow simulation in browser (javascript)
• water masses should be simulated, relief, in future other substances: rocks, electrofields will be simulated similarly

Societies simulation[edit]

server should give[edit]

• relief polylines by aw:isolines
• simulated water level polylines
• Geojson to be displayed in aw:Category:Georender

we may say that wikipedia:Geoid is simulated

grids variants[edit]

• HEALPix

let's start with with k=7(Npix=196608) or 8(Npix=786432 and is heavy for GPU) that corresponds to 1 or 2 of aw:zoom levels and later with

k=8 (Npix=786432) that corresponds to 2, 1024x1024 pixels
k=9 (Npix=3145728) that corresponds to 3 and to Earth2014#5 arc-min
k=11 (Npix=50milion) that corresponds to 5 and to Earth2014#1 arc-min

cells are fixed[edit]

water is moved not coordinates, however after Earch axis shift coordinates may be shifted too + the whole world ocean is covered easily

•  !HEALPix#grid cells
• squares or rectangles like in aw:Isolines#QuadTree

cells may be moved[edit]

obsolete

like in aw:SPH techniques

• spheres

- complex calculations of depths, not needed during coastlines calculations

• cylinders or cones with top in the Earth center

+ swirls may be modeled

physics[edit]

requirements:[edit]

• for simplicity compressibility, temperature, salinity are ignored
• from conservation laws only Conservation of rest mass is guaranteed, wikipedia:Conservation of linear momentum, wikipedia:Conservation of angular momentum are restricted
  • we may use wikipedia:Conservation of energy law with concepts like potential and kinetic energy but it will be harder to achieve accuracy
• world (water and solid) is presented by basins of different sizes; basins cannot penetrate each other

  every basin has coordinates and mass

• collisions should be detected
• fundamental interactions between basins should be simulated as gravitational and electromagnetic

  aw:gravity is calculated from basins to the Earth center

  centrifugal force from Earth rotation axis is calculated

• for optimization there is Basins grouping that forms "Areas" (group of basin that has closed contour)
• accuracy and precision should be controlled

  accuracy of centrifugal force depends on basin size

• solid forms crystals but water cannot form crystals

1 version[edit]

• Earth is the single solid and the single crystal
• gravitational interaction is simulated but not electromagnetic
• water velocity (friction and viscosity) is ignored

algorithm[edit]

contouring

done[edit]

• start

1. loop through all relief, form basins
2. check forces at basins borders - must be 0

• Meridional approximation

mean relief data

• axis change influences

1. on geoidNormal
2. calculate how water should be reassigned between basins
3. reassign water
4. not done: calculate some contour and go to 2.

• export-import

1. initial conditions: geiod, relief accuracy
2. algorithms run
3. resulted basins grouped by K

• eddy visualization

basin has properties

direction 
volume in/out shown by start thickness 
volumeOnDirection shown by length