UPM Applied Mathematics Department

UPM Applied Mathematics Department

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Universidad Politécnica de Madrid (UPM) is the oldest and largest Spanish technical University, with more than 4.000 faculty members, around 48.000 undergraduate students and 6.000 postgraduates in 21 Schools of study. UPM’s Schools cover most of engineering disciplines, including Aeronautical. UPM, as a top quality academic establishment, has a strong commitment to R&D and Innovation. It boasts over 200 Research Units and several Research Institutes and Technological Centres.
The Applied Mathematics Department, within the School of Aeronautics, has over 15 years experience in computational fluid dynamics. Current investigations are concerned with the development of accurate as well as efficient numerical procedures for the solution of Navier Stokes equations.


The UPM applied mathematics and fluid mechanics group is the coordinator of the project. UPM will recruit the fellows and will develop actively the training, research and dissemination.

Key Competences and Facilities

The expertise of the group of UPM is relevant to the current project in research the lines involved: computational geometry and mesh management, stability analysis and new methods and tools. The group has also a strong experience in training and supervising Master and PhD fellows. The group has access to its own computing clusters (128 and 484 processors, respectively), UPM-own computing facilities (Magerit, Blue Gene/P, featuring 4096 and over 10000 processors, respectively).

Key Persons

Scientits in charge:

Dr. Adel Abbas, Former Head of the Aerodynamic Research and Technology. Company expert in aerodynamic and multidisciplinary simulation methods. Chairman of EADS research group for flight physics. Currently Honorary Professor at UPM.

Prof. Mariola Gómez, Professor in Applied Mathematics, School of Aeronautics, UPM. PhD in aeronautical engineer. More than 20 years of experience in different fields of fluid mechanics
and computational geometry, mesh generation and interpolation tools. During the last years her research has been focused on algorithms for manipulation of complex 3D meshes.

Prof. Marta Cordero, Professor in Applied Mathematics, School of Aeronautics, UPM. PhD in physics. More than 20 years of experience in different fields of computational fluid dynamics, interpolation methods for elastomechanical and aerodynamic data transfer problems or mesh movement algorithms.

Prof. Javier de Vicente, Associate Professor in Applied Mathematics, School of Aeronautics, UPM. PhD by the Polytechnic University of Madrid. Expert in numerical simulation and computational fluid dynamics. More than 15 years of experience in the development of high order methods and their application to stability analysis of complex flows.

Dr. Leo Gonzalez, Research Professor of Fluid Mechanics. Teaching and research in Fluid Mechanics, Computer science, Numerical methods in Engineering. More than 15 years of experience and more than 30 publications in CFD and stability analysis. Currently WorkPackage leader of ANADE project.

Prof. Eusebio Valero, Professor in Applied Mathematics, School of Aeronautics, UPM. PhD in aeronautical engineer. More than 20 years of experience in different fields of fluid mechanics and more than 50 publications in international journals and proceedings. Expertise in numerical methods, stability analysis and algorithms.

Examples of their publications are:

M. Cordero-Gracia, P. Ripollés, E. Valero and M. Gómez, A volume spline interpolation tool for elastomechanical and aerodynamic data tranfer problems. IASTED International
Conference on Applied Simulation and Modellling, 2004. Proceedings pp. 265-269, ISSN: 1021-8181

M. Cordero-Gracia, M. Gómez and E. Valero, Mesh Motion Based on RBF Interpolation. International Conference on Modelling and Simulation, 2010. Proceedings; ISBN 978-80-01-04574-9

M. Cordero-Gracia, M. Gómez, J. Ponsin and E. Valero. An interpolation tool for aerodynamic mesh deformation problems based on octree decomposition. Aerospace Science and Technology (2011), doi: 10.1016/j.ast.2011.06.002

J. de Vicente, E. Valero, V. Theofilis. Numerical considerations in spectral multidomain methods for biglobal instability analysis of open cavity configurations.Progress in Industrial Mathematics at ECMI 2006. Springer. 2007. ISBN: 9783540719915

D. Rodríguez, , J. A. Ekaterinaris, E. Valero, V. Theofilis, On receptivity and modal linear
instability of laminar separation bubbles at all speeds. Seventh IUTAM Symposium on Laminar-Turbulent Transition, Sweden, 2009.

J. de Vicente, D. Rodriguez, V. Theofilis, E. Valero, Stability analysis in spanwise-periodic double-sided lid-driven cavity flows with complex cross-sectional profiles. Computers & Fluids, October 2010.

Previous training programs and research

Throughout the years, the Applied Mathematics Department has been actively involved in many national and international research projects: REMFI, CAFEDA, PCTRANS, ACEPCOR. The school of aeronautics from the UPM and the members involve in this project has a strong experience in international training programs. During the last two years, the School has hosted the EuMAS – European Masters Course in Aeronautics and Space Technology (http://www.aerospacemasters.org/), financed by the European Commission.


Universidad Politecnica de Madrid Imperial College London Katholieke Universiteit Leuven University of Cambridge Office National d'Etudes et de Recherches Aerospatiales Deutsches Zentrum für Luft– und Raumfahrt Von Karman Institute Numerical Mechanics Applications Airbus Operations KTH