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arXiv · 1509.02894

A General, Mass-Preserving Navier-Stokes Projection Method

David Salac
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Abstract

The conservation of mass is common issue with multiphase fluid simulations. In this work a novel projection method is presented which conserves mass both locally and globally. The fluid pressure is augmented with a time-varying component which accounts for any global mass change. The resulting system of equations is solved using an efficient Schur-complement method. Using the proposed method four numerical examples are performed: the evolution of a static bubble, the rise of a bubble, the breakup of a thin fluid thread, and the extension of a droplet in shear flow. The method is capable of conserving the mass even in situations with morphological changes such as droplet breakup.

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David Salac. 2015-09-09. A General, Mass-Preserving Navier-Stokes Projection Method. https://doi.org/10.1016/j.cpc.2016.03.012

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