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  A Controllable, Fast and Stable Basis for Vortex Based Smoke Simulation

Alexis Angelidis, Karan Singh

We introduce a method for the animation of elastic and incompressible material. Our model is composed of two main parts: a motion equation for the vorticity at the interface of two continua, and an approximated Biot-Savart law to recover the velocity field. We apply this model to the animation of muscles for character animation, which relates our method to physically-based deformers. Our technique requires the artist to place and size the muscles' geometry, and can produce a quick visualization of the dynamics with no heavy precomputation. We use an easy to implement explicit Euler solver, fast and stable for arbitrary long time steps.

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