Dynamical
Systems and Fluid Mechanics

Blended learning

My
research interests are in dynamical systems and fluid mechanics. I am particularly interested in
applications of these two fields to Rayleigh-Bénard convection problems and to biomechanical
problems.

Rayleigh-Bénard convection shows essential features typical of many nonlinear processes such as the dynamics of oceans or the behavior of chemical reaction–diffusion systems. It has also been widely adopted as a “canonical system” for the theoretical and experimental investigation of phenomena like chaotic dynamics and transition to turbulence. The use of dynamical systems tools can offer a clear insight in the dynamics of high–dimensional physically realizable systems.

Simulations of biomechanical systems are becoming key tools in medical diagnosis. These simulations involve mathematical models and methods from both fluid and solid mechanics. Most of the involved mathematical models are based on non-linear differential equations, yielding, thus, dynamical systems.

Rayleigh-Bénard convection shows essential features typical of many nonlinear processes such as the dynamics of oceans or the behavior of chemical reaction–diffusion systems. It has also been widely adopted as a “canonical system” for the theoretical and experimental investigation of phenomena like chaotic dynamics and transition to turbulence. The use of dynamical systems tools can offer a clear insight in the dynamics of high–dimensional physically realizable systems.

Simulations of biomechanical systems are becoming key tools in medical diagnosis. These simulations involve mathematical models and methods from both fluid and solid mechanics. Most of the involved mathematical models are based on non-linear differential equations, yielding, thus, dynamical systems.

Blended learning

Internet
and communication technologies are revolutionizing the world and
changing the current society. The world of education can not keep away
from these changes since they also affect the way young people
learn. My research interests are in the enhancement
of teaching,
learning and assessment by means of the use
of technology in blended learning courses.

- G. Fortuny, J. Herrero, D. Puigjaner, C. Olivé, F. Marimon, J. Garcia-Bennett,D. Rodríguez, Effect of anticoagulant treatment in deep vein thrombosis: A patient-specific computational fluid dynamics study, Journal of Biomechanics, (48), 2047-53 (2015).
- C.T. Gonzalez-Hidalgo, J. Herrero, D.Puigjaner, Analysis of Mass Transfer in a Corotating Disks Catalytic Reactor , AICHE Journal, (61), 1015-1031 (2015).
- J.M. Mateo-Sanz, C. Olivé, D. Puigjaner Two New Moodle Modules for the Enhancement of a Problem-Based Learning Approach, International Journal of Engineering education, (29), 891-903 (2013).
- T. Toumanidou, J. Noailly, D. Puigjaner, G. Fortuny A continuum model for the whole muscle, Journal of Biomechanics, (45), S484 (2012).
- C.T. Gonzalez-Hidalgo, J. Herrero, D.Puigjaner, Mixing intensification by natural convection with application to a chemical reactor design , Chemical Engineering Journal, (200-202), 506-520 (2012).
- D. Puigjaner, J. Herrero, C. Simó, F. Giralt, From steady solutions to chaotic flows in a Rayleigh-Bénard problem at moderate Rayleigh numbers, Physica D, 240 (11), 920-934 (2011).
- J.M. Mateo-Sanz, A. Solanas, D. Puigjaner, C. Olivé, Refining statistical problems: a hybrid problem-based learning methodology to improve students' motivation, International Journal of Engineering education, (26), 667-680 (2010).
- C. Simó, D. Puigjaner, J. Herrero, F. Giralt, Dynamics of particle trajectories in a Rayleigh-Bénard problem, Communications in Nonlinear Science and Numerical Simulations, 15, 25-39 (2010).
- J. Herrero, D. Puigjaner, C. Simó, F. Giralt, Mixing by Thermal Convection in a Biochemical Reactor, Proceedings of the 2nd WSEAS International Conference on Finite Differences, Finite Volumes and Boundary Elements. 45-50 ISBN 978969474089-5 (2009).
- D. Puigjaner, J. Herrero, C. Simó, F. Giralt, Bifurcation analysis of steady Rayleigh-Bénard convection in a cubical cavity with conducting sidewalls, Journal of Fluid Mechanics, 598, 393-427 (2008).
- D. Puigjaner, J. Herrero, F. Giralt, C. Simó, Bifurcation analysis of multiple steady flow patterns for Rayleigh-Bénard convection in a cubical cavity at Pr=130, Physical Review E, 73 (4), 046304 (2006)
- D. Puigjaner, J. Herrero, F. Giralt, C. Simó, Stability analysis of the flow in a cubical cavity heated from below, Physics of Fluids, 16, 3639-3655 (2004).

- D. Puigjaner, J. Herrero, C. Simó, Bifurcation Analysis and Transition to Chaos in a Large Scale Convection Problem . Fourth International Symposium on Bifurcations and Instabilities in Fluid Dynamics (BIFD-2011) Barcelona, Spain, July (2011).
- D. Puigjaner, J. Herrero, C. Simó, F. Giralt, Lagrangian transport and chaos in the natural convection problem inside a cube. Joint SIAM/RSME-SCM-SEMA Meeting Emerging Topics in Dynamical Systems and Partial Differential Equations DSPDEs'10. Barcelona, Spain, June (2010). Invited talk.
- D. Puigjaner, J. Herrero, C. Simó, F. Giralt, Existence of chaotic dynamics in Rayleigh-Bénard at moderate Rayleigh numbers. The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications. Dresden, Germany, May (2010). Invited talk.
- J. Herrero,
D. Puigjaner, F. Giralt, C.
Simó, Mixing
by Thermal Convection in a Biochemical Reactor.
WSEAS International Conference on Finite Differences, Finite Volumes
and Boundary Elements. Tbilisi, Georgia, June (2009).

- D.
Puigjaner,
J. Herrero, F. Giralt, C. Simó,
Dynamics of particle trajectories in a Rayleigh-Bénard problem.
Workshop on stability and instability in mechanical systems:
applications and numerical tools. Barcelona, Spain, December
(2008).

- D. Puigjaner, J. Herrero, C. Simó, F. Giralt, Characterization of the Mixing Properties of Natural Convection Flows In a Cubical Cavity Heated from below. AIChE International Annual Meeting, Philadelphia, USA, November (2008).
- D. Puigjaner, J. Herrero, C. Simó, F. Giralt. Estudio de la dinámica de los flujos de partículas en un problema de convección natural en el interior de un cubo. Nolineal 2008. Barcelona, Spain, June (2008).
- D. Puigjaner, J. Herrero, C. Simó, F. Giralt, Bifurcations and flow transitions of steady natural convective flow patterns in a cubical cavity with perfectly conducting lateral walls. Chaos, Complexity and Transport: Theory and Applications, Marseille, France, June (2007).
- D. Puigjaner, J. Herrero, C. Simó, F. Giralt, Effect of Prandtl Number on the Dynamics and Stability of Natural Convective Flows inside a Cubical Cavity. AIChE International Annual Meeting, San Francisco, USA, November (2006).
- D. Puigjaner, J. Herrero, F. Giralt, C. Simó, Flow bifurcations in a cubical cavity heated from below at Pr=130. 58th Annual Meeting of the Divisio of Fluid Dynamics, Chicago, USA, November (2005).
- D. Puigjaner, M. Al-Shannang, J. Herrero, F. Giralt, J.A.C. Humphrey, C. Simó, How first principles can help in the design of new or conventional stirred reactors. Mixing enhancement by secondary strucutres. Jordan International Chemical Engineering Conference, Amman, Jordan, (2005).
- M. Al-Shannang, D. Puigjaner, J. Herrero, F. Giralt, J.A.C. Humphrey, C. Simó, Mixing enhancement by secondary structures in shear or buoyancy driven confined flows. 7th World Congresss of Chemical Engineering, Glasgow, (2005).
- D. Puigjaner, C. Simó, F. Giralt, Study of bifurcations and stability in Rayleigh-Bénard convection. Proceedings of Europhysics Conference on Computational Physics, Aachen, Germany, September (2001).