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020 _a9783030797171
024 7 _a10.1007/978-3-030-79717-1
_2doi
040 _aTR-AnTOB
_beng
_erda
_cTR-AnTOB
041 _aeng
050 4 _aTA357.5.D37
072 7 _aTGMF
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTGMF
_2thema
090 _aTA357.5.D37EBK
100 1 _aBottoni, Maurizio.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aPhysical Modeling and Computational Techniques for Thermal and Fluid-dynamics
_h[electronic resource] :
_bPractical Numerical Mathematics /
_cby Maurizio Bottoni.
250 _a1st ed. 2022.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2022.
300 _a1 online resource
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMechanical Engineering Series,
_x2192-063X
505 0 _aOrdinary 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.
520 _aThis 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.
650 0 _aFluid mechanics.
650 0 _aThermodynamics.
650 0 _aHeat engineering.
650 0 _aHeat transfer.
650 0 _aMass transfer.
650 0 _aMechanics, Applied.
650 0 _aEngineering mathematics.
650 0 _aEngineering—Data processing.
650 0 _aMechanical engineering.
650 1 4 _aEngineering Fluid Dynamics.
650 2 4 _aEngineering Thermodynamics, Heat and Mass Transfer.
650 2 4 _aEngineering Mechanics.
650 2 4 _aMathematical and Computational Engineering Applications.
650 2 4 _aMechanical Engineering.
653 0 _aComputational fluid dynamics
710 2 _aSpringerLink (Online service)
830 0 _aMechanical Engineering Series,
_x2192-063X
856 4 0 _uhttps://doi.org/10.1007/978-3-030-79717-1
_3Springer eBooks
_zOnline access link to the resource
942 _2lcc
_cEBK