Modelling, Simulation, Optimization, and Control Project

The MSOCasi project, funded by the Agencia Estatal de Investigación, focuses on mathematical modeling, numerical simulation, optimization, and control with applications in science and industry. The project addresses critical challenges in various fields, contributing to industrial competitiveness and scientific advancement.

The project aims to:

  • Mathematically model problems in three main areas: Energy, Multiphysics industrial processes, and Biomedicine.
  • Analyze these mathematical models.
  • Propose innovative numerical methods to efficiently solve the models.
  • Analyze the proposed numerical methods.
  • Address optimization and control problems related to the simulated phenomena.
  • Validate the methodology through real-world applications.

Research areas within the project include:

I. Energy

  • Microgrids with renewable production and storage.
    • Wind and solar resource evaluation.
    • Development of a battery-based energy storage system digital twin.
    • Optimization of renewable microgrid electricity trading.
  • Integrated natural gas and electric power networks and systems.
    • Modelling and optimization of coupled gas-electricity networks.
    • Implementation and validation of methods.
    • Genetic algorithm for solver options improvement.

II. Industrial Multiphysics Processes

  • Electrical machines.
    • Accelerated transient electromagnetic simulation methodologies.
  • Electrically assisted forming process and magnetic levitation.
    • Novel methodologies for thermo-magneto-mechanical models.
    • Control problems in thermoelectrical models.
    • Mathematical analysis of magnetic levitation.
    • Coupled electromagnetic-elastodynamic model analysis.
  • Processes in energy generation.
    • Semi-implicit Arbitrary-Eulerian-Lagrangian (ALE) finite volume/finite element (FV/FE) schemes.
    • Extension to RANS turbulent models.
    • Numerical methods for species transport, chemical reactions, and more.
    • Hybrid methodology for magnetohydrodynamics equations.
    • Thermodynamically compatible schemes (HTC).
  • Surface wave incompressible fluids.
    • Strategies for accurate, stable, and linear schemes in free-surface problems.
  • Wave propagation in unbounded domains.
    • Convergence proof for BEM-FEM coupling for the transient wave equation.
    •  Reformulation of symmetric linear hyperbolic Friedrichs systems in terms of integral equations.
    • BEM-FEM coupling for symmetric linear hyperbolic Friedrichs systems.

III. Biomedical Problems

  • Blood flow.
    • ALE methodologies for linear and nonlinear-elasticity.
    • Fluid-structure interaction solver for the cardiovascular system.
  • Light and charged particle propagation in biological tissues and biomathematical models oriented to cancer treatment..
    • New numerical methods for kinetic equations.
    • Properties of solutions to kinetic equations.
    • Biomathematical models for cancer treatment.

Project details

Reference: PID2021-122625OB-I00

Acronym: MSOCasi

Period: 01/09/2022 - 31/08/2026

Principal Investigators:
J. Rodríguez
P. Salgado

Research Team:
M. Benítez (Universidade da Coruña)
A. Bermúdez
S. Busto
J.L. Ferrín
D. Gómez
O. López
R. Muñoz-Sola
F. Pena
J. Rodríguez
L. Saavedra (Universidad Politécnica de Madrid)
P. Salgado
M.L. Seoane
E. Vázquez-Cendón

Funding: Agencia Estatal de Investigación