This book presents the developments of the finite volume method applied to fluid flows, starting from the foundations of the method and reaching the latest approaches using unstructured grids. It helps students learn progressively, creating a strong background on CFD. The text is divided into two parts. The first one is about the basic concepts of the finite volume method, while the second one presents the formulation of the finite volume method for any kind of domain discretization. In the first part of the text, for the sake of simplicity, the developments are done using the Cartesian coordinate system, without prejudice to the complete understanding. The second part extends this knowledge to curvilinear and unstructured grids. As such, the book contains material for introductory courses on CFD for under and graduate students, as well as for more advanced students and researchers.

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Clovis R. Maliska is a Full Professor in the Department of Mechanical Engineering at the Federal University of Santa Catarina (UFSC), Brazil. He received his PhD in Mechanical Engineering from the University of Waterloo, Canada, under the supervision of Professor George D. Raithby. He teaches fluid mechanics, heat transfer and computational fluid dynamics at the graduate level in mechanical engineering at UFSC. In 1995, he launched a pioneering book in Brazil on Computational Fluid Dynamics, with the second edition, published in 2004, which is used as a textbook in both under and graduate engineering programs. Professor Maliska is a member of the National Academy of Engineering (ANE), Chair 71, and has also received the citation (medal) of the National Order of Scientific Merit from the Ministry of Science and Technology.