Modeling and Numerical Analysis of Energy and Environment

Dear Colleagues,

Mathematical modelling and numerical simulation are fundamental tools in the description of a wide variety of physical and technical phenomena. The capability of mathematical models to represent real situations and therefore, to make predictions on the behaviour of these systems makes their use essential when dealing with real-world applications.

This Special Issue mainly focuses on new research related to the mathematical modelling of energy and environmental processes and its numerical analysis. Some applications of interest may include the mathematical modelling of heat transfer in architecture so as to get efficient heating and cooling in buildings. Moreover, in the context of both energy and the environment, research on mathematical models for the study of non-conventional energy sources, such as solar energy (both photovoltaic and thermosolar), wind turbines or mathematical modelling for biomass formation can be relevant. In addition, Magnetohydrodynamics modelling for fusion plasmas and its influence on nuclear fusion may represent relevant research for this Special Issue. Other applications to be considered are based on shallow water models in the context of environmental hydrodynamics, with applications to different hydrodynamic situations which may include, for instance, dam breaks involving shock propagation and wet-dry fonts. In addition, environmental flows based on multi-phase flow model and flow in porous media can be part of this Special Issue.

A very relevant feature of this Special Issue is the numerical resolution of the mathematical models under study, based on a wide variety of numerical schemes such as finite volumes, finite elements, finite differences or Discontinuous Galerkin, to name a few. Relevant research may include new and very efficient numerical methods which represent a step forward in the numerical resolution of mathematical models in the context of energy and environment applications.

Rigorous analytical theory of the mathematical models under study is also very relevant for this Special Issue.

To sum up, this Special Issue intends to gather new research on mathematical models mainly focused on energy and environmental applications. Particular emphasis will be placed on the numerical resolution of the models, using very efficient numerical schemes, and also on a rigorous theoretical analysis of the models under study.

Prof. Dr. Arturo Hidalgo
Guest Editor

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