10 Result(s)
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Chapter
Conclusions
In the first part of this book, we presented a practical introduction on diffusion phenomena in building physics and traditional numerical methods for solving their governing partial differential equations.
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Chapter
A Brief History of Diffusion in Physics
Since the main focus of the Ph.D. school is set on the diffusion processes (molecular diffusion, heat and moisture conduction through the walls, etc.), it is desirable to explain how this research started and ...
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Chapter
Exercises and Problems
The first two parts of this book provided some theoretical background for solving diffusion in building and presented traditional (finite differences and finite elements) and nontraditional numerical metho...
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Chapter
Heat and Mass Diffusion in Porous Building Elements
In the field of building physics, diffusion phenomena started to be extensively modeled in the 70s (because of the oil crisis) to develop building-performance-simulation programs for the adoption of rational p...
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Chapter
Basics in Practical Finite-Element Method
This chapter is devoted to a practical presentation of the finite-element method (FEM) . The focus is on the construction of numerical schemes rather than on the numerical properties that this approach benefit...
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Chapter
Reduced Order Methods
In building physics, as mentioned in Chaps. 2 and 3, numerical models used to predict heat and moisture transfer involve different characteristic time and lengths. Simulation of building behavior is general...
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Chapter
Spectral Methods
chapter is organized as follows. First, we present some theoretical bases behind spectral discretizations in Sect. 8.1. An application to a problem stemming from the building physics is given in Sect. 8.3. Final...
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Chapter
Finite-Difference Method
This chapter is entirely devoted to numerical methods, kee** in mind that the main application is on diffusion processes in building physics. However, the presentation is oriented to the practical constructi...
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Chapter
Explicit Schemes with Improved CFL Condition
Above in Chap. 3 the basic finite differences approaches were presented. In particular, it was shown that explicit discretizations are subject to some additional constraints if one wants to have a stable numer...
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Chapter
Boundary Integral Approaches
In many engineering problems, including building modeling, the relevant information lies at the surface of a domain. In addition, only a few point-wise evaluations may be needed. Thus, classical numerical appr...
