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Jason E. Hicken
postdoctoral fellow
Department of Aeronautics & Astronautics,
Durand Building,
Stanford, CA, 94305
Background
Ph.D., Aerospace Engineering, University of Toronto, 2009
M.A.Sc., Mechanical Engineering, Dalhousie University, 2004
B.Math., Applied Mathematics, University of Waterloo, 2002
Research Interests
The aerospace industry faces significant challenges in the
twenty-first century, including peak oil and climate-change
mitigation. Presently, no single solution will address these
challenges: unconventional aerodynamic, propulsive, and structural
solutions will all have a role to play. However, as we explore beyond
conventional ideas, our intuition may fail to predict the subtle
trade-offs present in aircraft design. Consequently, high-fidelity
multi-disciplinary design optimization (MDO) will play a critical role
in the future of aviation.
Some general and specific research interests include
- PDE constrained optimization
- computational fluid dynamics
- Newton-Krylov methods for solving large-scale PDEs
- summation-by-parts finite-difference methods
- uncertainty quantification and design under uncertainty
Publications
Journal Articles
Hicken, J. E., Zingg, D. W.,
Superconvergent functional estimates from summation-by-parts finite-difference discretizations,
SIAM Journal on Scientific Computing, Vol. 33, No. 2, 2011, pp. 893-922.
Hicken, J. E., Zingg, D. W.,
Induced-drag minimization of nonplanar geometries based on the Euler equations,
AIAA Journal, Vol. 48, No. 11, Nov. 2010, pp. 2564-2575.
Hicken, J. E., Zingg, D. W.,
A simplified and flexible variant of GCROT for solving nonsymmetric linear systems,
SIAM Journal on Scientific Computing, Vol. 32, No. 3, 2010, pp. 1672-1694.
Hicken, J. E., Zingg, D. W.,
Aerodynamic optimization algorithm with integrated geometry parameterization and mesh movement,
AIAA Journal, Vol. 48, No. 2, Feb. 2010, pp. 400-413.
Hicken, J. E., Zingg, D. W.,
A parallel Newton-Krylov solver for the Euler equations discretized using simultaneous approximation
terms, AIAA Journal, Vol. 46, No. 11, Nov. 2008, pp. 2773-2786.
Hicken, J. E., Ham, F. E., Militzer, J., and Koksal, M.,
A shift transformation for fully conservative methods: turbulence simulation on complex,
unstructured grids, Journal of Computational Physics, Vol. 208, 2005, pp. 704-734.
Kunze, H. E., Hicken, J. E., and Vrscay, E. R.,
Inverse problems for ODEs using contraction maps and suboptimality of the `collage method',,
Inverse Problems, Vol. 20, No. 3, June 2004, pp. 977-991.
Conference Papers
Hicken, J.E., Alonso, J.J., "PDE-constrained optimization with error estimation and control," 50th AIAA Aerospace Sciences Meeting & Exhibit, Nashville, TN, January 2012, AIAA Paper 2012-151.
Hicken, J. E., Osusky, M., and Zingg, D. W., Comparison of parallel preconditioners for a
Newton-Krylov flow solver, Proceedings of the Sixth International Conference on Computational
Fluid Dynamics, St. Petersburg, Russia, July 2010.
Osusky, M., Hicken, J. E., and Zingg, D. W., A parallel Newton-Krylov-Schur flow solver for the
Navier-Stokes equations using the SBP-SAT approach, 48th Aerospace Sciences Meeting,
AIAA-2010-116, Orlando, Florida, United States, January 2010.
Hicken, J. E. and Zingg, D. W., Globalization strategies for inexact-Newton solvers,
19th AIAA Computational Fluid Dynamics Conference,
AIAA-2009-4139, San Antonio, Texas, United States, June 2009.
Huan, X., Hicken, J. E., and Zingg, D. W., Interface and boundary schemes for high-order methods,
19th AIAA Computational Fluid Dynamics Conference,
AIAA-2009-3658, San Antonio, Texas, United States, June 2009.
Hicken, J. E. and Zingg, D. W., An investigation of induced drag minimization using a parallel
Newton-Krylov algorithm, The 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference,
AIAA-2008-5807, Victoria, British Columbia, Canada, Sept. 2008.
Hicken, J. E. and Zingg, D. W., A parallel Newton-Krylov flow solver for the Euler equations on
multi-block grids, 18th AIAA Computational Fluid Dynamics Conference,
AIAA-2007-4333, Miami, Florida, United States, June 2007.
Hicken, J. E. and Zingg, D. W., Facilitating multi-block discretizations via simultaneous
approximation terms: a Newton-Krylov perspective, 15th Annual Conference of the CFD Society of Canada,
Toronto, Ontario, Canada, May 2007.
Truong, A. H., Hicken, J. E., and Zingg, D. W., A pseudo-nonlinear elasticity mesh movement
algorithm applied to mesh generation: a hands-off approach,
15th Annual Conference of the CFD Society of Canada, Toronto, Ontario, Canada, May 2007.
Hicken, J. E. and Zingg, D. W., An assessment of parallel preconditioners for a Newton-Krylov
algorithm, 12th Aerodynamics Symposium, Canadian Aeronautics and Space Institute,
Toronto, Ontario, Canada, April 2007.
Invited Presentations
Hicken, J. E. and Zingg, D. W., Algorithms to discover optimal aerodynamic shapes,
MITACS 2009 Annual Conference, Fredericton, New Brunswick, Canada, May 2009.
Hicken, J. E. and Zingg, D. W., In search of optimal aerodynamic shapes: induced drag minimization,
5th International Conference on Flow Dynamics, Sendai, Japan, Nov. 2008.
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