TY  - BOOK
AU  - Bottoni,Maurizio
ED  - SpringerLink (Online service)
TI  - Physical Modeling and Computational Techniques for Thermal and Fluid-dynamics: Practical Numerical Mathematics 
T2  - Mechanical Engineering Series,
SN  - 9783030797171
AV  - TA357.5.D37 
PY  - 2022///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Fluid mechanics
KW  - Thermodynamics
KW  - Heat engineering
KW  - Heat transfer
KW  - Mass transfer
KW  - Mechanics, Applied
KW  - Engineering mathematics
KW  - Engineering—Data processing
KW  - Mechanical engineering
KW  - Engineering Fluid Dynamics
KW  - Engineering Thermodynamics, Heat and Mass Transfer
KW  - Engineering Mechanics
KW  - Mathematical and Computational Engineering Applications
KW  - Mechanical Engineering
KW  - Computational fluid dynamics
N1  - 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
N2  - 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
UR  - https://doi.org/10.1007/978-3-030-79717-1
ER  -