The forces on a downstream body from an incoming wake


Whenever a flow moves past multiple bluff bodies, the wake of any upstream body affects the fluid forces on any downstream body. For two tandem cylinder in a flow, the downstream cylinder shows sustained vibrations beyond the small range of vibration of a single cylinder. In this work, we develop general models of the physics of this behavior and experimentally verify the models for a unique configuration.

Mathematical structure of gliding animal flight and passively descent


A model for gliding flight based solely on a typical lift force, drag force, and gravity provides a very interesting system of equations that govern behavior. In this project, we find evidence of a lower-dimensional, attracting curve in the space of possible motions, which we refer to as the terminal velocity manifold. We introduce several methods for detecting this curve and conceptualize gliding flight and fluttering descent in terms of the terminal velocity manifold.

Nave, G.K., & Ross, S.D. (2018) “Global phase space structures in a model of passive descent.” Under review. Preprint available on arxiv:1804.05099

Rapid approximation of attracting and repelling regions of a flow


In any system which can be represented as a system of Ordinary Differential Equations (ODEs), there may be underlying, lower-dimensional structures which govern the system’s behavior, providing the skeleton of the flow. These attracting and repelling curves may be challenging and computationally expensive to compute. We introduce a new technique for approximating such curves based on the instantaneous repulsion or attraction of each trajectory.

All publications

Peer-reviewed journal articles

Nave, G.K., & Ross, S.D. Global phase space structures in a model of passive descent. In preparation.

Nave, G.K., & Stremler, M.A. Wake stiffness as a nonlinear spring. In preparation.

Nave, G.K., & Ross, S.D. Trajectory-free calculation of calculation of attracting and repelling manifolds. In prepration. Preprint available on arXiv:1705.07949

Chang, B., Nave, G., & Jung, S. (2012). Drop formation from a wettable nozzle. Communications in Nonlinear Science and Numerical Simulation, 17(5), 2045-2051. doi:10.1016/j.cnsns.2011.08.023

Peer-reviewed conference papers

Nave, G. K., & Hermundstad, A. L., & Stewart, M., & Waters, M. R., & Garner, E., & Seyam, M., & Corkins, C. R., & DePauw, K. P. (2017, June), Global Perspectives: Graduate Students’ Experiences with Global Higher Education. Paper presented at 2017 ASEE Annual Conference & Exposition, Columbus, Ohio.

Conference presentations

Nave, G.K., Yeaton, I.J., & Ross, S.D. (2017) Phase space structures in velocity space for falling and gliding bodies. Oral presentation at the SIAM Conference on Applications of Dynamical Systems in Snowbird, Utah.

Nave, G., Stremler, M., & Ross, S. (2016). Wake stiffness and its application: tethered cylinders and flying snakes. Oral presentation at the 24th International Congress on Theoretical and Applied Mechanics in Montreal, Canada.

Nave, G. & Stremler, M. (2015). Regimes of flow induced vibration for tandem, tethered cylinders. Oral presentation at the 68th Annual Meeting of the American Physical Society Division of Fluid Dynamics in Boston, MA.

Nave, G., Michael, T., Vlachos, P., & Stremler, M. (2014). Flow induced oscillations of tandem, tethered cylinders in a channel flow. Oral presentation at the 67th Annual Meeting of the American Physical Society Division of Fluid Dynamics in San Fransisco, CA.