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This textbook is written for senior undergraduate and graduate students as well as engineers who will develop or use code in the simulation of fluid flows or other physical phenomena. The objective of the book is to give the reader the basis for understanding the way numerical schemes achieve accurate and stable simulations of physical phenomena. It is based on the finite-difference method and simple enough problems that allow also the analytic solutions to be worked out. ODEs as well as hyperbolic, parabolic and elliptic types are treated. The reader also will find a chapter on the techniques of linearization of nonlinear problems. The final chapter applies the material to the equations of gas dynamics. The book builds on simple model equations and, pedagogically, on a host of problems given together with their solutions.
Fluid dynamics --- Fluides, Dynamique des --- Data processing. --- Mathematical models. --- Informatique --- Modèles mathématiques --- Basic Sciences. Physics --- Fluid Mechanics --- Fluid Mechanics. --- Computational fluid dynamics. --- Modèles mathématiques --- Applied mathematics. --- Engineering mathematics. --- Continuum physics. --- Mechanics. --- Fluids. --- Mathematical physics. --- Mathematical and Computational Engineering. --- Applications of Mathematics. --- Classical and Continuum Physics. --- Classical Mechanics. --- Fluid- and Aerodynamics. --- Theoretical, Mathematical and Computational Physics. --- Physical mathematics --- Physics --- Hydraulics --- Mechanics --- Hydrostatics --- Permeability --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Classical field theory --- Continuum physics --- Continuum mechanics --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics
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This book covers classical and modern aerodynamics, theories and related numerical methods, for senior and first-year graduate engineering students, including: -The classical potential (incompressible) flow theories for low speed aerodynamics of thin airfoils and high and low aspect ratio wings. - The linearized theories for compressible subsonic and supersonic aerodynamics. - The nonlinear transonic small disturbance potential flow theory, including supercritical wing sections, the extended transonic area rule with lift effect, transonic lifting line and swept or oblique wings to minimize wave drag. Unsteady flow is also briefly discussed. Numerical simulations based on relaxation mixed-finite difference methods are presented and explained. - Boundary layer theory for all Mach number regimes and viscous/inviscid interaction procedures used in practical aerodynamics calculations. There are also four chapters covering special topics, including wind turbines and propellers, airplane design, flow analogies and hypersonic (rotational) flows. A unique feature of the book is its ten self-tests and their solutions as well as an appendix on special techniques of functions of complex variables, method of characteristics, and conservation laws and shock waves. The book is the culmination of two courses taught every year by the two authors for the last two decades to seniors and first-year graduate students of aerospace engineering at UC Davis.
Physics. --- Fluid- and Aerodynamics. --- Engineering Fluid Dynamics. --- Numerical and Computational Physics. --- Continuum Mechanics and Mechanics of Materials. --- Appl.Mathematics/Computational Methods of Engineering. --- Engineering mathematics. --- Materials. --- Hydraulic engineering. --- Physique --- Mathématiques de l'ingénieur --- Matériaux --- Technologie hydraulique --- Engineering & Applied Sciences --- Applied Mathematics --- Applied Physics --- Fluids. --- Applied mathematics. --- Continuum mechanics. --- Fluid mechanics. --- Mechanics. --- Mechanics, Applied. --- Numerical and Computational Physics, Simulation. --- Solid Mechanics. --- Mathematical and Computational Engineering. --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Engineering, Hydraulic --- Engineering --- Fluid mechanics --- Hydraulics --- Shore protection --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Engineering analysis --- Mathematical analysis --- Mathematics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Hydromechanics --- Continuum mechanics --- Mechanics --- Hydrostatics --- Permeability --- Aerodynamics.
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This book covers classical and modern aerodynamics, theories and related numerical methods, for senior and first-year graduate engineering students, including: -The classical potential (incompressible) flow theories for low speed aerodynamics of thin airfoils and high and low aspect ratio wings. - The linearized theories for compressible subsonic and supersonic aerodynamics. - The nonlinear transonic small disturbance potential flow theory, including supercritical wing sections, the extended transonic area rule with lift effect, transonic lifting line and swept or oblique wings to minimize wave drag. Unsteady flow is also briefly discussed. Numerical simulations based on relaxation mixed-finite difference methods are presented and explained. - Boundary layer theory for all Mach number regimes and viscous/inviscid interaction procedures used in practical aerodynamics calculations. There are also four chapters covering special topics, including wind turbines and propellers, airplane design, flow analogies and hypersonic (rotational) flows. A unique feature of the book is its ten self-tests and their solutions as well as an appendix on special techniques of functions of complex variables, method of characteristics, and conservation laws and shock waves. The book is the culmination of two courses taught every year by the two authors for the last two decades to seniors and first-year graduate students of aerospace engineering at UC Davis.
Mathematics --- Classical mechanics. Field theory --- Fluid mechanics --- Solid state physics --- Physics --- Gases handling. Fluids handling --- Applied physical engineering --- Engineering sciences. Technology --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- vloeistofstroming --- ICT (informatie- en communicatietechnieken) --- aerodynamica --- toegepaste wiskunde --- toegepaste mechanica --- economie --- simulaties --- wiskunde --- ingenieurswetenschappen --- fysica --- mechanica --- vloeistoffen
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This book consists of 20 review articles dedicated to Prof. Philip Roe on the occasion of his 60th birthday and in appreciation of his original contributions to computational fluid dynamics. The articles, written by leading researchers in the field, cover many topics, including theory and applications, algorithm developments and modern computational techniques for industry.
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This book covers a wide area of topics, from fundamental theories to industrial applications. It serves as a useful reference for everyone interested in computational modeling of partial differential equations pertinent primarily to aeronautical applications. The reader will find three survey articles on the present state of the art in numerical simulation of the transition to turbulence, in design optimization of aircraft configurations, and in turbulence modeling. These are followed by carefully selected and refereed articles on algorithms and their applications, on design methods, on grid adaption techniques, on direct numerical simulations, and on parallel computing, and much more.
Differential equations, Partial --- Fluid dynamics --- Navier-Stokes equations --- Numerical solutions --- Congresses. --- Industrial applications --- Fluids. --- Physics. --- Thermodynamics. --- Mechanics. --- Mechanics, Applied. --- Physical chemistry. --- Fluid- and Aerodynamics. --- Mathematical Methods in Physics. --- Numerical and Computational Physics, Simulation. --- Theoretical and Applied Mechanics. --- Physical Chemistry. --- Chemistry, Theoretical --- Physical chemistry --- Theoretical chemistry --- Chemistry --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Chemistry, Physical and theoretical --- Mechanics --- Heat --- Heat-engines --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Hydraulics --- Hydrostatics --- Permeability --- Éléments finis, Méthode des --- Finite element method --- Éléments finis, Méthode des. --- Analyse numérique --- Optimisation mathématique --- Finite element method. --- Analyse numérique --- Optimisation mathématique --- Fluides, Dynamique des
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Partial differential equations --- Numerical analysis --- Mathematical physics --- Computer. Automation --- differentiaalvergelijkingen --- informatica --- wiskunde --- algoritmen --- fysica --- numerieke analyse
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