“Galilean Invariance for Fluid Simulation” by Shah, Pighin, Cohen and Lee

  • ©Maurya Shah, Frederic (Fred) Pighin, Jonathan (Jon) David Cohen, and Penne Lee

  • ©Maurya Shah, Frederic (Fred) Pighin, Jonathan (Jon) David Cohen, and Penne Lee

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Title:

    Galilean Invariance for Fluid Simulation

Session/Category Title:   Fluids and Level Sets


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Abstract:


    These partial differential equations are solved on a grid of voxels. This grid is a discrete representation of three-space. Unfortunately fluid simulations are notoriously difficult to predict. In particular slight variations in the initial conditions can have dramatic impact in turbulent flows. This makes the problem of deciding a grid size for the simulation extremely difficult. With open boundaries, the fluid quickly dissipates when it hits the boundaries of the simulation domain (as in figure 1 (a)). To prevent this, large simulation domains have to be used to keep the fluid away from the boundaries of the simulation. In this work, we describe a novel technique for implementing an adaptive grid for fluid simulation. The technique is largely based on the principle of Galilean Invariance.

References:


    Stam, J. 1999. Stable fluids. In Proceedings of SIGGRAPH 99, 181–188.


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