Institutos Universitarios

  1. Portada
  2. Programmes
  3. 2010-2011
  4. MODySIM

MODySIM

MODySIM (Modelisation and Simulation of Some Problems of Physics and Engineering)

 

1. Exploration of Mars

We are participating in the first mission to Mars with Spanish flag (scientific Director: Prof. Luis Vázquez), Meiga-(Mars Environmental Instrumentation for Ground and Atmosphere) Mars-MetNet (Meteorological Network) Precursor Mission. It is a joint mission with Russia and Finland, and will be launched in 2011. Its aim is to place a meteorological station over the surface of Mars. The program is to place in Mars 16 meteorological stations

1.1. Aims of the program

  • Scientific definition of the instruments: Magnetometer, Solar Irradiance sensor and Dust deposited sensor
  • Geodesic studies associated to the landing site
  • Modelization of the Martian Planetary Boundary layer
  • Modelization of Martian magnetic field
  • Simulations linked to the databases of Viking missions. Functional retrieval
  • Data analysis

1.2. Background and previous results

We have participated in the scientific studies concerning the ultraviolet sensors in Beagle 2 and in the development of REMS equipment of Mars Science Laboratory (MSL) mission of the NASA that will be launched in 2011.

This has generated an important set of national and international activities as well as publications that may be consulted in www.fdi.ucm.es/profesor/lvazquez. Regarding the training side of the project, five doctoral theses are in progress, one of them to be presented in a short time

1.3. Challenges

We will work on the above mentioned research topics, bearing in mind that the mission will be launched by the end of 2011.

1.4. Network

The project is running in the framework of the collaboration with the following scientific and technological centres:

  • Research Groups in Schools of Informatics, Mathematics and Physics at Universidad Complutense de Madrid.
  • Institution Nacional de Técnica Aeroespacial (INTA).
  • Finnish Meteorological Institute (FMI, Finlandia).
  • The Space Research Institute of the Russian Academy of Sciences (IKI, Rusia).
  • Universidad Carlos III de Madrid, Spain.
  • Heliophysics Science Division de NASA Goddard Space Flight Center, USA.
  • Atmospheric, Oceanic and Space Sciences Department of Michigan University, USA.
  • Instituto de estudios espaciales ISSI, Bern, Switzerland.

 

2. Fractional Calculus and Applications

The framework of the project is to carry out analytical and numerical basic studies of fractional systems. On the other hand, we consider the application of such systems to technological environments as the materials with shape memory

2.1. Aims of the program

  • To study the transition from parabolic to hyperbolic behaviour using fractional derivative.
  • To analysis the symmetries associated to fractional differential equations
  • • Numerical schemes associated to fractional differential equations.
  • Applications of fractional models in different scientific and technological contexts

2.2. Background and previous results

Previous results can be seen in the following websites: www.fdi.ucm.es/profesor/lvazquez and www.fdi.ucm.es/profesor/lvazquez/calcfrac.

Besides the publications and congresses, two doctoral thesis have been presented and a third one is in progress.

2.3. Challenges

  • To develop general numeric schemes to approximate fractional differential equations.
  • Applications of fractional models.

2.4. Network

We collaborate with research groups in the following Spanish Universities:

  • Universidad de La Laguna.
  • Universidad Carlos III de Madrid.
  • Universidad de Extremadura.
  • Universidad de Castilla-La Mancha.

 

3. High Pressure Processes and Food Engineering

The framework of the project is to develop mathematical models able to simulate high pressure processes. Mainly in the Food Engineering sector, where a new emerging technology, based on hydrostatic high pressure, is being used in order to prolong food shelf life, preserving organoleptic (flavour, colour, etc...) and nutritional properties.

3.1. Aims of the program

  • Modelling the effects of temperature and Hydrostatic High pressure on microorganisms and enzymes.
  • Solving related inverse problems.
  • Numerical simulation.
  • Optimization and control of processes.

3.2. Background and previous results

Previous results can be seen in the website of the MOMAT Research Group: http://www.mat.ucm.es/momat

Besides the publications and congresses, a doctoral thesis (by Juan-Antonio Infante) has been presented (in December, 2009) and a second one (by Nadia Smith) is in progress.

3.3. Challenges

We will work on the above mentioned research topics, in contact with industrial companies and other research groups in order to:

  • Develop models to solve problems from real life applications
  • Develop numerical schemes to approximate the models
  • Perform optimization of the industrial processes involved in the problems

3.4. Network

The project is running in the framework of:

  • Spanish National project MTM2008-04621/MTM. Principal Investigator: Angel Manuel Ramos del Olmo.
  • I+D Network between Research Groups (Comunidad de Madrid) “Química a alta presión (QUIMAPRES)” S2009/PPQ-1551. Principal Investigator: Valentín García Baonza. Principal Investigator of MOMAT Group: Ángel Manuel Ramos del Olmo.
  • Research Group MOMAT: "Modelos Matemáticos en Ciencia y Tecnología: Desarrollo, Análisis, Simulación Numérica y Control” in School of Mathematics at Universidad Complutense de Madrid. Principal Investigators: Jesús Ildefonso Díaz Díaz and Ángel Manuel Ramos del Olmo.

The collaboration is with the following scientific, technological centres and companies:

  • Research Group "Altas presiones: Determinación de parámetros espectroscópicos y termodinámicos” in School of Chemistry at Universidad Complutense de Madrid. Principal Investigator: Valentín García Baonza.
  • Institute of Refrigeration (CSIC). Principal Investigator: Pedro Dimas Sanz Martínez.
  • Institution Nacional de Técnica Aeroespacial (INTA). Principal Investigator: Olga Prieto Ballesteros
  • Institute of Material Science of Madrid (CSIC). Principal Investigator: Javier Sánchez Benítez.
  • Research Group "Simluación de Sistemas poliméricos complejos y proteínas” in School of Chemistry at Universidad Complutense de Madrid. Principal Investigator: Antonio Rey Gayo
  • Esteban Espuña, S.A. Principal Investigators: Pere Masoliver Terradas and Mónica Gassiot
  • NC Hyperbaric

 

4. Mathematical modeling in Animal Health

The framework of the project is to develop models able to simulate the evolution of epidemics in Farm animals. For instance we consider the case of Classical Swine Fever Virus (CSFV).

4.1. Aims of the program

  • Modelling the evolution of epidemics in Farm animals.
  • Solving related inverse problems.
  • Numerical simulation.
  • Validation of the model with real data from Government sources.
  • Optimization and control of processes.
  • Development of software for decision making tasks in Government agencies.

4.2. Background and previous results

Previous results can be seen in the website of the MOMAT Research Group: http://www.mat.ucm.es/momat

Besides the publications and congresses, a doctoral thesis (by Beatriz Martínez-López) has been presented (in December, 2009).

4.3. Challenges

We will work on the above mentioned research topics, in contact with the Spanish Ministry of Agriculture, Fishing and Food (MAPA) and other research groups in order to:

  • Develop models to solve problems from real life applications.
  • Develop numerical schemes to approximate the models.
  • Develop a software tool for decision making tasks in Government agencies.
  • Perform optimization analysis of the control decisions to be taken by Government agencies.

4.4. Network

The project is running in the framework of:

  • Spanish National project MTM2008-04621/MTM. Principal Investigator: Angel Manuel Ramos del Olmo.
  • Research Group MOMAT: "Modelos Matemáticos en Ciencia y Tecnología: Desarrollo, Análisis, Simulación Numérica y Control” in School of Mathematics at Universidad Complutense de Madrid. Principal Investigators: Jesús Ildefonso Díaz Díaz and Ángel Manuel Ramos del Olmo.

The collaboration is with the following scientific and Government agencies:

  • Research Group in the Animal Health Department in School of Chemistry at Universidad Complutense de Madrid. Principal Investigator: José Manuel Sánchez-Vizcaíno.
  • Spanish Ministry of Agriculture, Fishing and Food (MAPA). Principal Investigator: Lucio Carbajo Goñi (General Subdirector of Animal Health)

 

5. Partial Differential Equations in Science and Technology

5.1. Research topics

  • Models on Natural Resources (Climatology, Glaciology and Geodesy)
    • Coupling between climate (models of energy balance with a deep ocean) and the dynamics of polar icecaps (in Glaciology).
    • Socio-economic aspects of environmental management.
    • Gravity determination (Problem of Backus) in Geodesy.
    • Non-deterministic climate models (volcanoes).
    • Formation of river basins.
    • Plant community patches as localized solutions of a reaction-diffusion system desertification process in southern Spain: a World Coordination Center for the study of desertification is established in Almeria).
  • Problems arising in Elasticity
    • Structures like thin shells and homogenization (Torroja roof of the Hipódromo de la Zarzuela).
    • Singular perturbation problems leading to complexification phenomena arising in certain types of thin elastic shells (unusual solution to the limit problem: it is outside the area of distributions).
    • Coulomb dry friction and their properties.
    • Best column (according Euler).
    • Deformation of the Earth strata by the gravity and magma actions (appearing in Geodynamics).
    • Viscoelastic materials with memory.
  • Free boundary PDEs systems (Fluid Mechanics, Combustion, Control, etc.)
    • Locating free boundaries by energy methods for systems of equations (fluid mechanics, combustion, certain types of non-linear Schrödinger equations, etc.) and higher order equations.
    • Delayed diffusion models (extinction in finite time phenomenon).
  • Singular quasilinear problems and multivalued problems (image processing, lubrication, etc.)
    • Diffusion models under very low regularity assumptions on solutions.
    • Application to Medical Imaging applications (medical MRI patterns,...).
    • Mathematical analysis of the total variation based denoising problem: total variation flows (fast algorithms to solve the variational formulation).
    • Variational methods in Image Processing: application to ill-posed problems (the Perona-Malik equation).
    • Singular terms in reaction-diffusion systems (2-d space charge electron problem or in theThomas-Fermi equation).
    • Models with a not controllable linearized control system and Computational aspects of interfaces (edges of conductors or metal sheets for shielding,…).

5.2. Network and main funding

Partial Differential Equations in Science and Technology, Ref. MTM2008-06208, DGISGP

Research institutions:

  • Universidad Complutense de Madrid (Applied Mathematics and Astronomy and Geodesy)
  • Universidad Politécnica de Madrid (ETS Arquitectura)
  • Universidad Autónoma de Madrid (Mathematics)
  • Universidad Rey Juan Carlos (Applied Mathematics, Medical Images Institute)

Initial Training Networks of the European Commission (Grant Agreement Number 238702), SEVENTH FRAMEWORK PROGRAMME, PEOPLE Work Programme 2008 ”, from January 1, 2010 to December 31, 2013. http://www.mat.ucm.es/~FIRST/

Involved institutions:

  • Universidad Complutense de Madrid (Applied Mathematics and Astronomy and Geodesy)
  • Friedrich-Alexander-Universität Erlangen-Nürnberg
  • Université de Paris-Sud XI
  • Sapienza Università di Rome
  • Technische Universiteit Eindhoven
  • Technion - Israel Institute of Technology
  • University of Bath
  • University of Zurich
  • Guigues Environnement
  • Siemens AG
  • Comenius University
  • University of Athens
  • Université Catholique de Louvain
  • Université de Tours