Physical Modeling and Computational Techniques for Thermal and Fluid-Dynamics: Practical Numerical Mathematics

ISBN-13: 9783030797164 / Angielski / Twarda / 2021 / 568 str.

Maurizio Bottoni

Spis treści

Ordinary differential equations.- Partial differential equations and the method of characteristics.- Methods of orthogonal collocations (OC).- Numerical methods for the solution of the convection-diffusion equation and QUICK algorithm.- Numerical solution of large linear systems.- Numerical solution of Poisson equation.- Derivation and numerical solutions of Poisson-like equations.- Numerical treatment of the transport equations of turbulence.- Formulae Synopsis.- Acronyms.- Nomenclature .- References.- Index.- Historical notes.

O autorze

Maurizio Bottoni was born in 1941 in Ferrara, Italy. After humanistic studies in Ferrara and basic courses in mathematics and physics at the Ferrara University, he studied nuclear engineering at the University of Bologna where he obtained  a Ph.D in December 1965, with a thesis in neutron physics, which was awarded the RIGHI price of the Bologna University. For about 25 years Dr. Bottoni worked at the former Nuclear Research Centre of Karlsruhe (actually Karlsruhe Institute of Technology), Germany, and at the Argonne National Laboratory of Chicago, Illinois, on fast nuclear reactor safety analysis.  

After the demise of the fast reactor projects, both in Germany and in USA, years followed as visiting professor at the Tokyo Institute of Technology (1996 - 1997) and at the TsinghuaUniversity in Beijing (1999 - 2002). 

 

The experience gained with the research work in fast breeder reactor theory was collected in a series of monographs presented for the first time in 1994 at the Chinese Institute of Atomic Energy (CIAE) in Beijing. These preliminary teaching courses were extended and reorganized as a full course of about fifty teaching hours and formed the bulk of the teaching material for the lectures given over years at the Tsinghua University. 

 

Excerpts of these courses were adopted between 2003 and 2006 for lectures held on numerical methods in atmospheric physics and molecular dynamics at the Physic Department of the University of Ferrara, Italy. 

 

At present the author is consultant at the Meteorological and Environmental Earth Observation (MEEO) Company in Ferrara and is involved with numerical simulations of space physics in the upper atmosphere with the computational methods of molecular dynamics. 

               

Blurb

This book on computational techniques for thermal and fluid-dynamic problems arose from seminars given by the author at the Institute of Nuclear Energy Technology of Tsinghua University in Beijing, China. The book is composed of eight chapters-- some  of which are characterized by a scholastic approach, others are devoted to numerical solution of ordinary differential equations of first order, and of partial differential equations of first and second order, respectively. In Chapter IV, basic concepts of consistency, stability and convergence of discretization algorithms are covered in some detail. Other parts of the book follow a less conventional approach, mainly informed by the author’s experience in teaching and development of computer programs. Among these is Chapter III, where the residual method of Orthogonal Collocations is presented in several variants, ranging from the classical Galerkin method to Point and Domain Collocations, applied to numerical solution of partial differential equations of first order. In most cases solutions of fluid dynamic problems are led through the discretization process, to the numerical solutions of large linear systems. Intended to impart a basic understanding of numerical techniques that would enable readers to deal with problems of Computational Fluid Dynamics at research level, the book is ideal as a reference for graduate students, researchers, and practitioners.

• Explains the Quadratic Upstream Interpolation for Convective Kinematics method and applies it to an algorithm for two-phase flow problems; 
• Presents the Successive Over Relaxation theory from its rigorous theoretical viewpoint, and includes several numerical examples given in the annexed computer programs;
• Thoroughly reviews several methods for solving a model Poisson equation;
• Illustrates in detail the pressure method for obtaining a Poisson-like equation for pressure in a fluid domain; 
• Features a full chapter dedicated to turbulence theories, detailing the numerical treatment of several transport equations, including scalar fluxes, variance of temperature fluctuations, Reynolds stresses, and dissipation of turbulent kinetic energy.