{"product_id":"finite-element-methods-for-flow-problems-isbn-9780471496663","title":"Finite Element Methods for Flow Problems","description":"In recent years there have been significant developments in the development of stable and accurate finite element procedures for the numerical approximation of a wide range of fluid mechanics problems. Taking an engineering rather than a mathematical bias, this valuable reference resource details the fundamentals of stabilised finite element methods for the analysis of steady and time-dependent fluid dynamics problems. Organised into six chapters, this text combines theoretical aspects and practical applications and offers coverage of the latest research in several areas of computational fluid dynamics.\u003cbr\u003e * Coverage includes new and advanced topics unavailable elsewhere in book form\u003cbr\u003e * Collection in one volume of the widely dispersed literature reporting recent progress in this field\u003cbr\u003e * Addresses the key problems and offers modern, practical solutions\u003cbr\u003e Due to the balance between the concise explanation of the theory and the detailed description of modern practical applications, this text is suitable for a wide audience including academics, research centres and government agencies in aerospace, automotive and environmental engineering.Die Finite-Elemente-Methode, eines der wichtigsten in der Technik verwendeten numerischen Näherungsverfahren, wird hier gründlich und gut verständlich, aber ohne ein Zuviel an mathematischem Formalismus abgehandelt. Insbesondere geht es um die Anwendung der Methode auf Strömungsprobleme. Alle wesentlichen aktuellen Forschungsergebnisse wurden in den Band aufgenommen; viele davon sind bisher nur verstreut in der Originalliteratur zu finden. Preface.\u003cbr\u003e \u003cbr\u003e 1. Introduction and preliminaries.\u003cbr\u003e \u003cbr\u003e Finite elements in fluid dynamics.\u003cbr\u003e \u003cbr\u003e Subjects covered.\u003cbr\u003e \u003cbr\u003e Kinematical descriptions of the flow field.\u003cbr\u003e \u003cbr\u003e The basic conservation equations.\u003cbr\u003e \u003cbr\u003e Basic ingredients of the finite element method.\u003cbr\u003e \u003cbr\u003e 2. Steady transport problems.\u003cbr\u003e \u003cbr\u003e Problem statement.\u003cbr\u003e \u003cbr\u003e Galerkin approximation.\u003cbr\u003e \u003cbr\u003e Early Petrov-Galerkin methods.\u003cbr\u003e \u003cbr\u003e Stabilization techniques.\u003cbr\u003e \u003cbr\u003e Other stabilization techniques and new trends.\u003cbr\u003e \u003cbr\u003e Applications and solved exercises.\u003cbr\u003e \u003cbr\u003e 3. Unsteady convective transport.\u003cbr\u003e \u003cbr\u003e Introduction.\u003cbr\u003e \u003cbr\u003e Problem statement.\u003cbr\u003e \u003cbr\u003e The methods of characteristics.\u003cbr\u003e \u003cbr\u003e Classical time and space discretization techniques.\u003cbr\u003e \u003cbr\u003e Stability and accuracy analysis.\u003cbr\u003e \u003cbr\u003e Taylor-Galerkin Methods.\u003cbr\u003e \u003cbr\u003e An introduction to monotonicity-preserving schemes.\u003cbr\u003e \u003cbr\u003e Least-squares-based spatial discretization.\u003cbr\u003e \u003cbr\u003e The discontinuous Galerkin method.\u003cbr\u003e \u003cbr\u003e Space-time formulations.\u003cbr\u003e \u003cbr\u003e Applications and solved exercises.\u003cbr\u003e \u003cbr\u003e 4. Compressible Flow Problems.\u003cbr\u003e \u003cbr\u003e Introduction.\u003cbr\u003e \u003cbr\u003e Nonlinear hyperbolic equations.\u003cbr\u003e \u003cbr\u003e The Euler equations.\u003cbr\u003e \u003cbr\u003e Spatial discretization techniques.\u003cbr\u003e \u003cbr\u003e Numerical treatment of shocks.\u003cbr\u003e \u003cbr\u003e Nearly incompressible flows.\u003cbr\u003e \u003cbr\u003e Fluid-structure interaction.\u003cbr\u003e \u003cbr\u003e Solved exercises.\u003cbr\u003e \u003cbr\u003e 5. Unsteady convection-diffusion problems.\u003cbr\u003e \u003cbr\u003e Introduction.\u003cbr\u003e \u003cbr\u003e Problem statement.\u003cbr\u003e \u003cbr\u003e Time discretization procedures.\u003cbr\u003e \u003cbr\u003e Spatial discretization procedures.\u003cbr\u003e \u003cbr\u003e Stabilized space-time formulations.\u003cbr\u003e \u003cbr\u003e Solved exercises.\u003cbr\u003e \u003cbr\u003e 6. Viscous incompressible flows.\u003cbr\u003e \u003cbr\u003e Introduction\u003cbr\u003e \u003cbr\u003e Basic concepts.\u003cbr\u003e \u003cbr\u003e Main issues in incompressible flow problems.\u003cbr\u003e \u003cbr\u003e Trial solutions and weighting functions.\u003cbr\u003e \u003cbr\u003e Stationary Stokes problem.\u003cbr\u003e \u003cbr\u003e Steady Navier-Stokes problem.\u003cbr\u003e \u003cbr\u003e Unsteady Navier-Stokes equations.\u003cbr\u003e \u003cbr\u003e Applications and Solved Exercices.\u003cbr\u003e \u003cbr\u003e References.\u003cbr\u003e \u003cbr\u003e Index. “…essential reading for graduate students and researchers in engineering and applied sciences..” (CAB Abstracts)  \u003cp\u003e\u003cstrong\u003eJean Donea\u003c\/strong\u003e is the author of \u003cem\u003eFinite Element Methods for Flow Problems\u003c\/em\u003e, published by Wiley. \u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAntonio Huerta\u003c\/strong\u003e is the author of \u003cem\u003eFinite Element Methods for Flow Problems\u003c\/em\u003e, published by Wiley.  Taking an engineering, rather than a mathematical, approach, Finite Element Methods for Flow Problems presents the fundamentals of stabilized finite element methods of the Petrov-Galerkin type developed as an alternative to the standard Galerkin method for the analysis of steady and time-dependent problems. The material presented here epitomizes the forefront of current research in several areas of computational fluid dynamics and combines theoretical aspects and practical applications.\u003cbr\u003e \u003cbr\u003e Coverage includes:\u003cbr\u003e * Steady and transient convection-diffusion problems.\u003cbr\u003e * Stabilization techniques designed to produce stable and accurate results in convection-dominated situations.\u003cbr\u003e * The presentation and detailed analysis of high-order accurate time-stepping schemes for tracing the response of truly transient problems.\u003cbr\u003e * Special methods for purely convective transport governed by linear equations\u003cbr\u003e * Modelling of non-linear problems governed by the Euler equations of gas dynamics and the Navier-Stokes equations for viscous incompressible flows.\u003cbr\u003e * Spatial discretization by means of the arbitrary Lagrangian-Eulerian description with application to fluid-structure systems.\u003cbr\u003e * Worked examples.\u003cbr\u003e \u003cbr\u003e The book provides essential reading for graduate students and researchers in engineering and applied sciences in the finite element field. The book will also be of interest to professionals working in aerospace, automotive, civil, environmental and offshore engineering, and safety technology.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989214642405,"sku":"NP9780471496663","price":200.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780471496663.jpg?v=1761783235","url":"https:\/\/k12savings.com\/products\/finite-element-methods-for-flow-problems-isbn-9780471496663","provider":"K12savings","version":"1.0","type":"link"}