Computational Methods for 3D Flows and for 2D Contour Dynamics

“A 3D Spectral Anelastic Hydrodynamic Code for Shearing, Stratified Flows”, Joseph A. Barranco, Philip S. Marcus, Journal of Computational Physics, vol. 219, pp. 21-55, May 2006, doi: 10.1016/j.jcp.2006.03.015. — PDF

“An Application of Matrix Perturbation Theory to the Stability of Trailing Wake Vortices”, Joseph A. Barranco, Philip S. Marcus, APS Division of Fluid Dynamics Meeting Abstracts, November 1998. — Image

“A Spectral Method for Unbounded Domains”, T. Matsushima, P. S. Marcus, The Journal of Computational Physics, vol. 10, pp. 321-345, June 1997, doi: 10.1006/jcph.1997.5804. — PDF

“A Spectral Method for Polar Coordinates”, T. Matsushima, P. S. Marcus, The Journal of Computational Physics, vol. 120, pp. 365-374, March 1995, doi: 10.1006/jcph.1995.1171. — PDF

“Spectrally Accurate Contour Dynamics”, R. D. Van Buskirk, P. S. Marcus, The Journal of Computational Physics, vol. 115, pp. 302-318, December 1994, doi: 10.1006/jcph.1994.1198. — PDF

“Fast and Accurate Treatment of Coordinate Singularities in Spectral Methods”, S. Bouaoudia, P. S. Marcus, The Journal of Computational Physics, vol. 96, pp. 217-223, 1991, doi: 10.1016/0021-9991(91)90272-M. — PDF

“Description and Philosophy of Spectral Methods”, Philip S. Marcus, featured in Astrophysical Radiation Hydrodynamics with ed. Karl-Heiz A. Winkler, Michael L. Norman, volume 188 of Nato ASI Series, pages 359-386, published by Springer Netherlands, 1986, print ISBN: 978-94-010-8612-7, article DOI: 10.1007/978-94-009-4754-2_10. — PDF

“Numerical Modeling of Subgrid-Scale Flow in Turbulence, Rotation, and Convection”, Philip S. Marcus, featured in Astrophysical Radiation Hydrodynamics with ed. Karl-Heiz A. Winkler, Michael L. Norman, volume 188 of Nato ASI Series, pages 387-414., published by Springer Netherlands, 1986, print ISBN: 978-94-010-8612-7, article DOI: 10.1007/978-94-009-4754-2_11. — PDF

“Numerical Simulation of Quasi-geostrophic Flow Using Vortex and Spectral Methods”, Philip S. Marcus, 1986 in Numerical Analysis, (Proceedings of Conference of June 1985 – Dundee Scotland), ed. D.F. Griffiths and G.A. Watson, Longman Scientific and Technical Press, pp. 125–139.

“Effects of Truncation in modal representations of thermal convection”, Philip S. Marcus, The Journal of Fluid Mechanics, vol. 103, pp. 241-255, 1981, doi: 10.1017/S0022112081001328. — PDF