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Numerical Methods for Diffusion Phenomena in Building Physics

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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.

Author(s): Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh
Publisher: Springer
Year: 2019

Language: English
Pages: 253
City: Switzerland AG

Front Matter ....Pages i-xviii
A Brief History of Diffusion in Physics (Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh)....Pages 1-5
Front Matter ....Pages 7-7
Heat and Mass Diffusion in Porous Building Elements (Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh)....Pages 9-43
Finite-Difference Method (Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh)....Pages 45-87
Basics in Practical Finite-Element Method (Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh)....Pages 89-100
Front Matter ....Pages 101-101
Explicit Schemes with Improved CFL Condition (Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh)....Pages 103-120
Reduced Order Methods (Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh)....Pages 121-152
Boundary Integral Approaches (Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh)....Pages 153-166
Spectral Methods (Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh)....Pages 167-209
Front Matter ....Pages 211-211
Exercises and Problems (Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh)....Pages 213-227
Conclusions (Nathan Mendes, Marx Chhay, Julien Berger, Denys Dutykh)....Pages 229-232
Back Matter ....Pages 233-245