Numerical Methods for Diffusion Phenomena in Building Physics

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 done at 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  

Basics of numerical methods for diffusion phenomena in building 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.