Research Interests
Computational Fluid Dynamics, Aeroacoustics and Aeroelasticity,
NonLinear Dynamical Systems
Sample Projects
Principal Investigator (PI)
Fractional Calculus and Special Functions, Project
No. 38124/MAT/2001, Fundação para a Ciência
e Tecnologia, 20022005.
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, 20012004.
Associate Investigator (CoPI)
Investigation of Supersonic Flow Phenomena, European Comission,
BRITE/EURAM project, 19901991. IST representative at the meetings
of Paris and Brussels.
ECARP  European Computation Aerodynamics Research Programme, European
Comission, TOP UP, contract No. Aero CT 0031, 19951996. IST representative
at the meetings of Madrid and Oxford.
ETMA  Efficient Turbulent Models for Aeronautics, European Comission,
BRITE/EURAM/2076/2032, 19951996. 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, 19971998.
ENABLE – Environmental Noise Associated with Turbulent Boundary
Layer Excitation, European Comission, GRDI199910487, 20012003.
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. 19501981.
 J.M.C. Pereira, M.H. Kobayashi and J.C.F. Pereira (2001) “A fourth order accurate finite volume compact scheme for the incompressible NavierStokes equations”, Journal of Computational Physics (167), pp.217243.
 M.H. Kobayashi (1999) “On a class of Padé finite volume methods”, Journal of Computational Physics (156), pp. 137180.
 M.H. Kobayashi, J.M.C. Pereira and J.C.F. Pereira (1999) “A conservative finitevolume secondorderaccurate projection method on hybrid unstructured grids”, Journal of Computational Physics (150), pp. 4075.
Fluid Mechanics
 M. H. Kobayashi and C.F.M. Coimbra (2005) “On the stability of the MaxeyRiley equation in nonuniform 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. 101110.
 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. 257286.
 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. 303326.
Dynamical Systems
 *G. Terra and M.H. Kobayashi (2004) “On the Variational Mechanics with Nonlinear Constraints”, Journal de Mathématiques Pures et Appliquées (85), pp. 629671.
 G. Terra and M.H. Kobayashi (2004) “On classical mechanical systems with nonlinear constraints”, Journal of Geometry and Physics (49), pp. 385417.
 M.H. Kobayashi and W.M. Oliva (2003) “On the Birkhoff approach to classical mechanics”, Resenhas IME/USP (6) 1, pp. 171.
 H.M.A. Castro, M.H. Kobayashi and W.M. Oliva (2001) “Partially hyperbolic Sgeodesic flows”, Journal of Differential Equations (169), pp. 142168.
* “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.
ME492Computational 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. 
