Procedural models for free surface water
- Often based on Shallow water equation
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- neglect depth velocity component
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- ex. Trochoid/Gerstner models
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- Particles following circular trajectories, waves propagates
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- \({\bf x}-{\bf x}_0 = \sum_i a_i {\bf k}_i/\|{\bf k}_i\| \;\sin({\bf k}_i\cdot {\bf x}_0-\omega_i\,t+\phi_i)\)
- \(z-z_0 = \sum_i a_i \cos({\bf k}_i\cdot {\bf x}_0-\omega_i\,t+\phi_i)\)
- \(\omega_i^2=g\,k_i\) - dispersion
- Used for procedural ocean modeling
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- (+) Simple and scalable
- (-) Interaction with other objects
