References and Credit

[1] A. H. Barnett. Boundary integral equations for bvps, and their high-order nystr ̈omquadratures: a tutorial, 2004.

[2] David Linan Li. The green’s function of the navier-stokes equations for gas dynamicsin3.Commun. Math. Phys. 257, 251, May 2005.

[3] Gary Marple, Alex Barnett, Adrianna Gillman, and Shravan Veerapaneni. A fast algo-rithm for simulating multiphase flows through periodic geometries of arbitrary shape,2015.

[4] E. M. Purcell. Life at low reynolds number.American Journal of Physics, 45(1):3–11,1977.

[5] Divakar Viswanath and Ian Tobasco. Navier–stokes solver using green’s functions i:Channel flow and plane couette flow.Journal of Computational Physics, 251:414–431,Oct 2013

Acknowledgement

We would like to thank Professor Guo, Hai Zhu, and Kashvi Srivastava for guiding and supporting us through this research. We would also like to thank Samuel M Hansen and Prof Timothy Ryan for all the help with the website.