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    Advections with Significantly Reduced Dissipation and Diffusion

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    06-17.pdf (3.044Mb)
    Date
    2006
    Author
    Kim, Byungmoon
    Liu, Yingjie
    Llamas, Ignacio
    Rossignac, Jaroslaw R.
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    Abstract
    Back and Forth Error Compensation and Correction (BFECC) can be applied to reduce dissipation and diffusion in advection steps, such as velocity, smoke density, and image advections. It can be implemented trivially as a small modification of the first-order upwind or semi-Lagrangian integration of advection equations. It provides second-order accuracy in both space and time and reduces volume loss significantly. We demonstrate its benefits on the simulation of smoke, bubbles, and interaction between water, a solid, and air.
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    http://hdl.handle.net/1853/13136
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