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Finite Element Methods in Incompressible, Adiabatic, and Compressible Flows: From Fundamental Concepts to Applications: 19 (Mathematics for Industry) - Hardcover

 
9784431554493: Finite Element Methods in Incompressible, Adiabatic, and Compressible Flows: From Fundamental Concepts to Applications: 19 (Mathematics for Industry)

Inhaltsangabe

THIS BOOK FOCUSES ON THE FINITE ELEMENT METHOD IN FLUID FLOWS. IT IS TARGETED AT RESEARCHERS, FROM THOSE JUST STARTING OUT UP TO PRACTITIONERS WITH SOME EXPERIENCE. PART I IS DEVOTED TO THE BEGINNERS WHO ARE ALREADY FAMILIAR WITH ELEMENTARY CALCULUS. PRECISE CONCEPTS OF THE FINITE ELEMENT METHOD REMITTED IN THE FIELD OF ANALYSIS OF FLUID FLOW ARE STATED, STARTING WITH SPRING STRUCTURES, WHICH ARE MOST SUITABLE TO SHOW THE CONCEPTS OF SUPERPOSITION/ASSEMBLING. PIPELINE SYSTEM AND POTENTIAL FLOW SECTIONS SHOW THE LINEAR PROBLEM. THE ADVECTION–DIFFUSION SECTION PRESENTS THE TIME-DEPENDENT PROBLEM; MIXED INTERPOLATION IS EXPLAINED USING CREEPING FLOWS, AND ELEMENTARY COMPUTER PROGRAMS BY FORTRAN ARE INCLUDED. PART II PROVIDES INFORMATION ON RECENT COMPUTATIONAL METHODS AND THEIR APPLICATIONS TO PRACTICAL PROBLEMS. THEORIES OF STREAMLINE-UPWIND/PETROV–GALERKIN (SUPG) FORMULATION, CHARACTERISTIC FORMULATION, AND ARBITRARY LAGRANGIAN–EULERIAN (ALE) FORMULATION AND OTHERS ARE PRESENTED WITH PRACTICAL RESULTS SOLVED BY THOSE METHODS.

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This book focuses on the finite element method in fluid flows. It is targeted at researchers, from those just starting out up to practitioners with some experience. Part I is devoted to the beginners who are already familiar with elementary calculus. Precise concepts of the finite element method remitted in the field of analysis of fluid flow are stated, starting with spring structures, which are most suitable to show the concepts of superposition/assembling. Pipeline system and potential flow sections show the linear problem. The advection–diffusion section presents the time-dependent problem; mixed interpolation is explained using creeping flows, and elementary computer programs by FORTRAN are included. Part II provides information on recent computational methods and their applications to practical problems. Theories of Streamline-Upwind/Petrov–Galerkin (SUPG) formulation, characteristic formulation, and Arbitrary Lagrangian–Eulerian (ALE) formulation and others are presented with practical results solved by those methods.

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  • VerlagSpringer
  • Erscheinungsdatum2016
  • ISBN 10 4431554491
  • ISBN 13 9784431554493
  • EinbandTapa dura
  • SpracheEnglisch
  • Auflage1
  • Anzahl der Seiten392

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9784431566571: Finite Element Methods in Incompressible, Adiabatic, and Compressible Flows: From Fundamental Concepts to Applications: 19 (Mathematics for Industry)

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ISBN 10:  4431566570 ISBN 13:  9784431566571
Verlag: Springer, 2018
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Kawahara, Mutsuto
Verlag: Springer, 2016
ISBN 10: 4431554491 ISBN 13: 9784431554493
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ISBN 10: 4431554491 ISBN 13: 9784431554493
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book focuses on the finite element method influid flows. It is targeted at researchers, from those just starting out up topractitioners with some experience. Part I is devoted to the beginners who arealready familiar with elementary calculus. Precise concepts of the finiteelement method remitted in the field of analysis of fluid flow are stated,starting with spring structures, which are most suitable to show the conceptsof superposition/assembling. Pipeline system and potential flow sections showthe linear problem. The advection-diffusion section presents the time-dependentproblem; mixed interpolation is explained using creeping flows, and elementarycomputer programs by FORTRAN are included. Part II provides information on recentcomputational methods and their applications to practical problems. Theories ofStreamline-Upwind/Petrov-Galerkin (SUPG) formulation, characteristicformulation, and Arbitrary Lagrangian-Eulerian (ALE) formulation and others arepresented with practical results solved by those methods. Artikel-Nr. 9784431554493

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