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Research
Physically-Based Simulation
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Target Driven Liquid Animation

1. Abstract

We propose a novel method of controlling a multi-phase fluid so that it flows into a target shape in a natural way. To preserve the sharp detail of the target shape, we represent it as an implicit function and construct the level-set of that function. Previous approaches add the target-driven control force as an external term, which then becomes attenuated during the velocity projection step, making the convergence process unstable and causing sharp detail to be lost from the target shape. But we calculate the force on the fluid from the pressure discontinuity at the interface between phases, and integrate the control force into the projection step so as to preserve its effect. The control force is calculated using an enhanced version of the ghost fluid method, which guarantees that the fluid flows from the source shape and converges into the target shape, while achieving a more natural animation then other approaches. Our control force is merged during the projection step avoiding the need for a post-optimization process to eliminate divergence at the liquid interface. This makes our method easy to implement using existing fluid engines, and it incurs little computational overhead. Experimental results show the accuracy and robustness of this technique.
2. Our Goal

Controlling a liquid animation by adding forces at the interface between two immiscible fluids

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3. Main Ideas

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The discontinuous pressure differences and the new Ghost value.


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The shape feedback force on the liquid interface.


4. Advantages

(a) Because we are adding the control force at the projection step, the force is accurately preserved.
(b) The fluid simulation is still divergence-free and robust, despite the control force, and no optimization is required.
(c) Additional natural forces such as gravity and buoyancy can be added to the environment as external forces. Control and external forces are added independently at different stages.
(d) The control force can easily be added within an existing fluid simulation pipeline.
5. Results

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Liquids making the word 'Flower' flow into the target image, which is an oriental painting (top right).

5. Related Publications

[1] Seung-Ho Shin and Chang-Hun Kim, "Target-driven liquid animation with interfacial discontinuities," Computer Animation and Virtual Worlds (CASA 2007), Volume 18, Number 4-5, pp. 447-453, 2007.

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