Applications of TVD Algorithms in 2D and 3D

Edisson Sávio, born in 1969, february, 25, in Recife, Pernambuco. He is a Mechanical Engineering undergraduated by UFPE in 1992, in PE, Brazil; Mester degree in Thermal Engineering by UFPE in 1995, in PE, Brazil; Doctor degree in Aeronautical Engineering by ITA in 2002, in SP, Brazil; Post-Doctor degree in Aeronautical Engineering by ITA in 2009.

This book was written to students and engineers that like the Computational Fluid Dynamics (CFD) area; in other words, that like of programming algorithms to the resolution of physical problems. Some familiarity with code programming is required. However, through the computation courses teaching at the Universities the engineering student and common areas will have the capacity of programming the codes presented in this book and much more of his/her interest. The applications of this book aim aeronautical and aerospace problems. This book presents the TVD methods, based on Harten's ideas, of Yee, Warming and Harten (1982), of Harten (1983), of Yee, Warming and Harten (1985), of Yee and Kutler (1985), of Yee (1987) and of Hughson and Beran (1991), and the second order TVD schemes, obtained by MUSCL approach, of Roe (1981), of Steger and Warming (1981), of Van Leer (1982), of Frink, Parikh and Pirzadeh (1991), of Liou and Steffen Jr. (1993) and of Radespiel and Kroll (1995), applied to the class of problems aforementioned. Good results are obtained. A finite volume formulation and structured and unstructured spatial discretizations are employed. Turbulence is taken into account.