Modeling and Numerical Analysis of Energy and Environment 2022

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".

Deadline for manuscript submissions: closed (31 December 2022) | Viewed by 3025

Special Issue Editors


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Guest Editor
Departmento de Ingeniería Geológica y Minera, E.T.S.I. de Minas y Energía, Universidad Politécnica de Madrid, Ríos Rosas, 21, 28003 Madrid, Spain
Interests: numerical simulation; finite volume methods; environmental applications; computational fluid dynamics
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Guest Editor
Departamento de Matemática Aplicada, ETS de Arquitectura, Center for Computational Simulation, Universidad Politécnica de Madrid, Av. Juan de Herrera, 28040 Madrid, Spain
Interests: applied mathematics

Special Issue Information

Dear Colleagues,

Energy and the environment are both important topics nowadays in order to sustainably develop our world. In particular, climate change is a major concern, for which advances in energy efficiency play a fundamental role. In order to represent and predict the behavior of these systems, mathematical modeling and numerical simulation of the models are useful tools.

This Special Issue focuses on mathematical modeling and numerical simulation of the energy and environmental systems linked to different applications, such as renewable energy (onshore and offshore wind energy, thermosolar and photovoltaic energy, biomass, etc.); nuclear fusion; and the study of plasma, shallow water models, water, air or soil pollution, multiphase flows or energy balance models relevant in architecture. The mathematical models involved in those applications include heat and mass transfer problems, Navier–Stokes models, magneto-hydrodynamic (MHD) equations, Euler equations for gas dynamics, shallow water models or advection–reaction–diffusion equations, to name a few. With the aim of solving mathematical models, numerical schemes based on finite volume methods, finite element methods, finite difference techniques and the discontinuous Galerkin approach are of interest for this Special Issue.

Prof. Dr. Arturo Hidalgo
Prof. Dr. Lourdes Tello
Guest Editors

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Keywords

  • mathematical modelling in energy and the environment
  • efficient numerical schemes
  • heat transfer in industry and buildings
  • aerodynamics
  • fluid dynamics
  • shallow water models, dam-break
  • multiphase flows, flow in porous media

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Published Papers (1 paper)

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Research

16 pages, 1559 KiB  
Article
Optimal Orientation of Solar Panels for Multi-Apartment Buildings
by Sungha Yoon, Jintae Park, Chaeyoung Lee, Sangkwon Kim, Yongho Choi, Soobin Kwak, Hyundong Kim and Junseok Kim
Mathematics 2023, 11(4), 938; https://doi.org/10.3390/math11040938 - 12 Feb 2023
Cited by 3 | Viewed by 2547
Abstract
In this paper, we present a mathematical algorithm for the optimal orientation of solar panels for multi-apartment buildings. Currently, photovoltaic power generation has increasingly become an effective method. It has the advantage of not causing environmental pollution; however, it has the disadvantage of [...] Read more.
In this paper, we present a mathematical algorithm for the optimal orientation of solar panels for multi-apartment buildings. Currently, photovoltaic power generation has increasingly become an effective method. It has the advantage of not causing environmental pollution; however, it has the disadvantage of relatively low power generation efficiency. To increase the power efficiency of the panel, one can consider a rotation. However, if there is a limitation to the rotation angle of the solar panel, especially in multi-apartment buildings, it is desirable to install the panel at the optimal angle under given constraints. Therefore, we present a simple and practical method to evaluate the optimal installation angle of the panel. Using the proposed method, it is easy to find an optimal installation angle to achieve the best power generation efficiency based on the latitude and azimuth angles. To demonstrate the effectiveness of the proposed algorithm, several numerical simulation results are provided. Full article
(This article belongs to the Special Issue Modeling and Numerical Analysis of Energy and Environment 2022)
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