1. Mathematical modelling and computer animation
Animation of chocolate flow on complex surface
Martin Madaras

2. Intro
Fountain model
Real flow
Flow simulation
Fluid mesh
Rendering

3. Fountain model 3D Studio Max
Low-res for simulation, High-res for rendering

4. Real flow
Next Limit, authors of renderer Maxwell (using metropolis light transport algorithm for global illuminance computation), more correct than other renderers
Disadvantages : Very long rendering time, preview can be made at the moment, but is very noisy
XFlow and RealFlow, RealFlow is used in entertainment industry, XFlow in science and technology
RealFlow is standalone app, for simulation only (fluid, gas, rigid bodies)
Rendering must be made in other programs 3DS Max, Blender,...

5. Fluid mesh

6. Flow simulation 1
World in program RealFlow is simuluted with Deamons, which affect behavior of material (gravitation, noisefield, vortex…)
There are also Kill Deamons, which can delete particles when they satisfy some conditions (particles are out of camera frustrum, velocity is too high, particle has no neighbours in some range)
Geometry can be imported, all faces should be triangles (for better computation)
Chocolate has high viscosity and surface tension, these parameters affect time of computation (number of particles had to be lowered)
CPU : 4core q6600, time necessary for simulation of 1100 frames was 11 hours

7. Flow simulation 2
2 phases of simulation. In first is simulation made on particles (number based on emiter settings)
In second, mesh is created over particles ( Blob Meshes)
Afterwards, mesh can be exported for every frame and imported into another program via plugin. Mesh behaves as normal object
Flow simulation computation is very expensive

8. Import via next limit plugin

9. Lighting and camera Camera path is ellipsoid spiral spline
Rendered with VRay render, Indirect illumination calcualtion
Lighting made via HDRI map of interior

11. Rendering and postprocessing
Fountain model was surrouned by cylinder panoramatic photo of chocolate shop. Panoramatic photo was blured for better look
Frames joined in open source software Virtual dub and exported into avi, coded with H.264 divx codec

12. Images