Advections with Significantly Reduced Dissipation and Diffusion

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Date
2006Author
Kim, Byungmoon
Liu, Yingjie
Llamas, Ignacio
Rossignac, Jaroslaw R.
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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.