Contact Information
Phone:(808) 956-6579
Fax: +1 (808) 956-2373
Email: marcelok@hawaii.edu
Research Website

Research Interests

Computational Fluid Dynamics, Aeroacoustics and Aeroelasticity, Non-Linear Dynamical Systems

Sample Projects

Principal Investigator (PI)
Fractional Calculus and Special Functions, Project No. 38124/MAT/2001, Fundação para a Ciência e Tecnologia, 2002-2005.

Droplet Mechanics at Intermediate Reynolds Numbers: Effects of Internal Flow and Blowing Velocity on the Accelerated Motion of a Spray Droplet, Project No. 36271/99, Fundação para a Ciência e Tecnologia, 2001-2004.

Associate Investigator (Co-PI)
Investigation of Supersonic Flow Phenomena, European Comission, BRITE/EURAM project, 1990-1991. IST representative at the meetings of Paris and Brussels.

ECARP - European Computation Aerodynamics Research Programme, European Comission, TOP UP, contract No. Aero CT 0031, 1995-1996. IST representative at the meetings of Madrid and Oxford.

ETMA - Efficient Turbulent Models for Aeronautics, European Comission, BRITE/EURAM/2076/2032, 1995-1996. IST representative at the meetings of Patras and Manchester .

Improvements and Updates of the COPPEF Code - Part 2, TNO Prins Maurits Laboratory, P.O., The Netherlands, 1997-1998.

ENABLE – Environmental Noise Associated with Turbulent Boundary Layer Excitation, European Comission, GRDI-1999-10487, 2001-2003. IST representative at the meeting of Athens.

Selected Publications

Computational Fluid Dynamics

• M.H. Kobayashi and J.M.C. Pereira (2005) “A Computational Stream Function Method for Incompressible Viscous Flows” International Journal of Numerical Methods in Engineering (62), pp. 1950-1981.
• J.M.C. Pereira, M.H. Kobayashi and J.C.F. Pereira (2001) “A fourth order accurate finite volume compact scheme for the incompressible Navier-Stokes equations”, Journal of Computational Physics (167), pp.217-243.
• M.H. Kobayashi (1999) “On a class of Padé finite volume methods”, Journal of Computational Physics (156), pp. 137-180.
• M.H. Kobayashi, J.M.C. Pereira and J.C.F. Pereira (1999) “A conservative finite-volume second-order-accurate projection method on hybrid unstructured grids”, Journal of Computational Physics (150), pp. 40-75.

Fluid Mechanics

• M. H. Kobayashi and C.F.M. Coimbra (2005) “On the stability of the Maxey-Riley equation in non-uniform linear flows” Physics of Fluids in press.
• E. A. Lim, C.F.M. Coimbra and M.H. Kobayashi (2005) “Dynamics of Suspended Particles in Eccentrically Rotating Flows”  Journal of Fluid Mechanics, (535), pp. 101-110.
• C.F.M. Coimbra and M.H. Kobayashi (2002) “On the viscous motion of a small particle in a rotating cylinder”, Journal of Fluid Mechanics (469), pp. 257-286.
• L.M.B.C. Campos and M.H. Kobayashi (2000) “On the reflection and transmission of sound in a thick shear layer”, Journal of Fluid Mechanics (424), pp. 303-326.

Dynamical Systems

• *G. Terra and M.H. Kobayashi (2004) “On the Variational Mechanics with Non-linear Constraints”, Journal de Mathématiques Pures et Appliquées (85), pp. 629-671.
• G. Terra and M.H. Kobayashi  (2004) “On classical mechanical systems with non-linear constraints”, Journal of Geometry and Physics (49), pp. 385-417.
• M.H. Kobayashi and W.M. Oliva (2003) “On the Birkhoff approach to classical mechanics”, Resenhas IME/USP (6) 1, pp. 1-71.
• H.M.A. Castro, M.H. Kobayashi and W.M. Oliva (2001) “Partially hyperbolic S-geodesic flows”, Journal of Differential Equations (169), pp. 142-168.

* “Top 25 Hotest Articles” printed in the Journal de Mathématiques Pures et Appliquées in 2004 .

Courses Offered

Applied Mechanics II, IST Spring 2002 & 2003.
Flight Stability, IST Spring 2002 & 2003.
ME492-Computational Fluid Dynamics, University of Hawai’i at Manoa, Fall 2002.
ME403 – Advanced Mathematics for Engineering, University of Hawai’i at Manoa, Fall 2003.
ME322 – Fluid Mechanics, University of Hawai’i at Manoa, Fall 2003, Fall 2004.

ME 489 - Thermofluids Design, Fall 2005.

ME 678 - Advanced Dynamics, Fall 2005.

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