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

Relevant Research:

T. Matsushima, Philip S. Marcus (1997) A Spectral Method for Unbounded Domains, Journal of Computational Physics 137(2), p. 321-345, pdf, doi:10.1006/jcph.1997.5804

T. Matsushima, Philip S. Marcus (1995) A Spectral Method for Polar Coordinates, Journal of Computational Physics 120(2), p. 365-374, pdf, doi:10.1006/jcph.1995.1171

R. D. van Buskirk, Philip S. Marcus (1994) Spectrally Accurate Contour Dynamics, Journal of Computational Physics 115(2), p. 302-318, pdf, doi:10.1006/jcph.1994.1198

S. Bouaoudia, Philip S. Marcus (1991) Fast and accurate spectral treatment of coordinate singularities, Journal of Computational Physics 96(1), p. 217-223, pdf, doi:10.1016/0021-9991(91)90272-M

Philip S. Marcus (1986) Description and Philosophy of Spectral Methods, Astrophysical Radiation Hydrodynamics, Karl-Heiz A Winkler, Michael L Norman (ed.), p. 359-386, pdf, doi:10.1007/978-94-009-4754-2_10

Philip S. Marcus (1986) Numerical simulation of quasi-geostrophic flow using vortex and spectral methods, Numerical Analysis, eds. D. Griffiths and G. Watson, Pitman Research Note in Mathematics Series 140, p. 125-139

Philip S. Marcus (1986) Numerical Modeling of Subgrid-Scale Flow in Turbulence, Rotation, and Convection, Astrophysical Radiation Hydrodynamics, Karl-Heiz A Winkler, Michael L Norman (ed.), p. 387-414, pdf, doi:10.1007/978-94-009-4754-2_11

Philip S. Marcus (1981) Effects of truncation in modal representations of thermal convection, Journal of Fluid Mechanics 103, p. 241, pdf, doi:10.1017/S0022112081001328

Abstracts

Joseph A. Barranco, Philip S. Marcus (1998) An Application of Matrix Perturbation Theory to the Stability of Trailing Wake Vortices, APS Division of Fluid Dynamics Meeting Abstracts, p. AE-06, url