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Fluid Simulation
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Computational Fluid Dynamics
Particle-based hydrodynamics
Voxel-based hydrodynamics
Mesh-based hydrodynamics
Computational Fluid Dynamics
• simulate the advection/motion of water
• Necessary:
– starting condition (water levels/distribution)
– starting momentum

• Conservation of Momentum:

m1u1  m2u2  m1v1  m2u2
Particle-based hydrodynamics
• approximation: water consists of particles
• initial momentum associated to some
particles
• compute particle interaction (momentum
transfer) on contact with neighbourhood
• conservation of momentum as driving force
• good method to compute contact with objects
(different materials)
Particle-based hydrodynamics

Real-time fluid simulation with adaptive SPH, Yan, H. et al.,
CASA 2009, Volume 20, Issue 2-3, pp. 417-426, June 2009
Voxel-based hydrodynamics
• water levels represented in volume image
• momentum given in vector image
• conservation of momentum via finite
difference
• memory-heavy representation
• easy to speed up on current hardware
architectures
• for real-world examples infeasible
Voxel-based hydrodynamics

GPU Gems 3 "Real-Time Simulation and Rendering of 3D Fluids"
Mesh-based hydrodynamics
• water is stored as 3D mesh with mass and
momentum attributes
• conservation of mass and momentum via FEA
• drawbacks:
– accurate volume mesh generation necessary
– slow runtime

• advantage: highly accurate (depending on the
mesh)
Mesh-based hydrodynamics

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