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Numerical Methods for Diffusion Phenomena in Building Physics

A Practical Introduction

Authors:

  • Fulfils concisely traditional numerical methods that can be applied in the field of diffusion transport phenomena
  • Presents advanced methods that are not yet applied in the field
  • Gives an overview of research conducted in the field in the last 30 years

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Table of contents (10 chapters)

  1. Front Matter

    Pages i-xviii
  2. A Brief History of Diffusion in Physics

    • Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh
    Pages 1-5
  3. Basics of Numerical Methods for Diffusion Phenomena in Building Physics

    1. Front Matter

      Pages 7-7
    2. Heat and Mass Diffusion in Porous Building Elements

      • Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh
      Pages 9-43
    3. Finite-Difference Method

      • Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh
      Pages 45-87
    4. Basics in Practical Finite-Element Method

      • Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh
      Pages 89-100
  4. Advanced Numerical Methods

    1. Front Matter

      Pages 101-101
    2. Explicit Schemes with Improved CFL Condition

      • Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh
      Pages 103-120
    3. Reduced Order Methods

      • Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh
      Pages 121-152
    4. Boundary Integral Approaches

      • Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh
      Pages 153-166
    5. Spectral Methods

      • Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh
      Pages 167-209
  5. Praxis

    1. Front Matter

      Pages 211-211
    2. Exercises and Problems

      • Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh
      Pages 213-227
    3. Conclusions

      • Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh
      Pages 229-232
  6. Back Matter

    Pages 233-245

About this book

This book is the second edition of Numerical methods for diffusion phenomena in building physics: a practical introduction originally published by PUCPRESS (2016). It intends to stimulate research in simulation of diffusion problems in building physics, by providing an overview of mathematical models and numerical techniques such as the finite difference and finite-element methods traditionally used in building simulation tools. Nonconventional methods such as reduced order models, boundary integral approaches and spectral methods are presented, which might be considered in the next generation of building-energy-simulation tools. In this reviewed edition, an innovative way to simulate energy and hydrothermal performance are presented, bringing some light on innovative approaches in the field.

Authors and Affiliations

  • Thermal Systems Laboratory (LST), Pontifical Catholic University of Paraná, Curitiba, Brazil

    Nathan Mendes

  • Université Savoie Mont Blanc, Université Grenoble Alpes, Chambéry, France

    Marx Chhay

  • CNRS, LOCIE, Université Grenoble Alpes, Chambéry, France

    Julien Berger

  • Laboratoire de Mathématiques, Université Savoie Mont Blanc, Le Bourget-du-Lac, France

    Denys Dutykh

About the authors

Nathan Mendes

Nathan Mendes got his Ph.D. in Mechanical Engineering at the Federal University of Santa Catarina, Brazil, in collaboration with the Lawrence Berkeley National Laboratory, USA, in 1997. He is currently full professor and director of graduate studies at the Pontifical Catholic University of Paraná and coordinator of the institutional project of Excellence in Stricto Sensu. He received the Young Scientist Award in 2002, and he is a member of the editorial boards of the Journal of Building Physics and the Journal of Building Performance Simulation. He has more than 80 journal papers and 180 conference papers, 5 patent requirements and software registration and acts as a reviewer of more than 11 peer-reviewed journals and as a member of International Energy Agency Annexes (41, 55, 60 and 68). He coordinated the Post-Graduation Program in Mechanical Engineering at PUCPR from 2006 to 2011, was the president of the Brazilian regional IBPSA (International Association of Building Performance Simulation Association), Brazilian representative at the IBPSA-World since 2005 and the regional director of ASBRAV (2001-2008). He works in the area of Mechanical Engineering, with emphasis on energy, heat and moisture through porous building elements, modeling and experimental analysis of heating and air conditioning systems, energy efficiency of buildings and building simulation. He has participated in national and international advisory committees for evaluation of research projects.

Denys Dutykh

Dr. Denys Dutykh initially graduated in 2004 from the Faculty of Applied Mathematics, Dnipropetrovsk National University in Ukraine. Then, he moved to continue his education at Ecole Normale Supérieure de Cachan (ENS de Cachan), France, where he obtained in 2005 the Master degree (ex-Diplôme d’Etudes Approfondies) in Numerical Methods for Models of Continuous Media (MN2MC). The next logical step was to prepare the PhD thesis. It was doneat the Centre de Mathématiques et Leurs Applications (CMLA UMR 8536) under the guidance of Prof. Frédéric Dias. The PhD thesis entitled “Mathematical modelling of tsunami waves” was defended on the 3rd of December 2007 at ENS de Cachan. In October 2008 Denys started to work as CNRS Researcher at the University Savoie Mont Blanc, where he defended his Hanilitation thesis in December 2010 on the topic of “Mathematical Modelling in the Environment”. During the period of 2012 - 2013 he was on leave from CNRS to the Univerisity College Dublin, Ireland to participate in the ERC AdG MultiWave project. Since 2014 he continues to work at the Laboratory of Mathematics (LAMA UMR 5127) again as a CNRS Researcher on a variety topics ranging from Mathematics to its applications in the real world.

 

Marx Chhay

Ph.D. in Mechanical Engineering - Université de La Rochelle (2008). Researcher at the Optimization Laboratory of Design and Environmental Engineering (LOCIE) -University Savoie Mont-Blanc, France. He has experience in Mechanical Engineering, focusing on Thermal Engineering and especially acting on the following themes: Numerical methods, Transport equations, Hydrodynamics, Geometric integration, Variational systems, and Symmetry. 

 

Julien Berger

Graduation in Civil Engineering - Ecole Nationale des Travaux Publics de le Etat (2008), master's degree in MEGA - Université de Lyon (2008) and a Ph.D. - Université de Savoie, LOCIE (2014). Post-doctoral researcher at the Mechanical Engineering Graduate Program of the Pontifical Catholic University of Paraná - PUCPR, Curitiba, Brazil. He has experience in Civil Engineering, focusing on numerical computational methods and especially acting on the following themes: Proper generalized decomposition, Heat and mass transfers in materials, Proper orthogonal decomposition,and Model reduction technique

 


Bibliographic Information

  • Book Title: Numerical Methods for Diffusion Phenomena in Building Physics

  • Book Subtitle: A Practical Introduction

  • Authors: Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh

  • DOI: https://doi.org/10.1007/978-3-030-31574-0

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-31573-3Published: 10 December 2019

  • Softcover ISBN: 978-3-030-31576-4Published: 10 January 2021

  • eBook ISBN: 978-3-030-31574-0Published: 29 November 2019

  • Edition Number: 1

  • Number of Pages: XVIII, 245

  • Number of Illustrations: 23 b/w illustrations, 53 illustrations in colour

  • Additional Information: Original edition published by © Editora Universitária Champagnat (PUCPRESS), Curitiba, Brazil in 2016. ISBN 978-85-68324-45-5

  • Topics: Thermodynamics, Building Physics, HVAC, Mechanical Engineering, Mathematical and Computational Engineering

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access