Mendes N., Chhay M., Berger J., Dutykh D. Numerical Methods for Diffusion Phenomena in Building Physics: A Practical Introduction

Springer, 2019. — 253 p. – ISBN: 978-3-030-31573-3юThis 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.A Brief History of Diffusion in Physics
Heat and Mass Diffusion in Porous Building Elements
Finite-Difference Method
Basics in Practical Finite-Element Method
Explicit Schemes with Improved CFL Condition
Reduced Order Methods
Boundary Integral Approaches
Spectral Methods
Exercises and Problems
Conclusions