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001442045 020__ $$a9783030760274$$q(electronic bk.)
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001442045 020__ $$z9783030760267
001442045 0247_ $$a10.1007/978-3-030-76027-4$$2doi
001442045 035__ $$aSP(OCoLC)1261049871
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001442045 049__ $$aISEA
001442045 050_4 $$aTA330$$b.S32 2021
001442045 08204 $$a620.00151$$223
001442045 1001_ $$aSchäfer, Michael,$$d1960 January 15-
001442045 24510 $$aComputational engineering -- introduction to numerical methods /$$cMichael Schäfer.
001442045 250__ $$aSecond edition.
001442045 260__ $$aCham :$$bSpringer,$$c©2022.
001442045 300__ $$a1 online resource
001442045 336__ $$atext$$btxt$$2rdacontent
001442045 337__ $$acomputer$$bc$$2rdamedia
001442045 338__ $$aonline resource$$bcr$$2rdacarrier
001442045 347__ $$atext file
001442045 347__ $$bPDF
001442045 5050_ $$aIntro -- Preface to the Second Edition -- Preface to the First Edition -- Contents -- 1 Introduction -- 1.1 Usefulness of Numerical Investigations -- 1.2 Development of Numerical Methods -- 1.3 Characterization of Numerical Methods -- 2 Modeling of Continuum Mechanical Problems -- 2.1 Kinematics -- 2.2 Basic Conservation Equations -- 2.2.1 Mass Conservation -- 2.2.2 Momentum Conservation -- 2.2.3 Moment of Momentum Conservation -- 2.2.4 Energy Conservation -- 2.2.5 Material Laws -- 2.3 Scalar Problems -- 2.3.1 Simple Field Problems -- 2.3.2 Heat Transfer Problems
001442045 5058_ $$a2.4 Structural Mechanics Problems -- 2.4.1 Linear Elasticity -- 2.4.2 Bars and Beams -- 2.4.3 Disks and Plates -- 2.4.4 Linear Thermo-Elasticity -- 2.4.5 Hyperelasticity -- 2.5 Fluid Mechanical Problems -- 2.5.1 Incompressible Flows -- 2.5.2 Inviscid Flows -- 2.6 Aeroacoustics Problems -- 2.7 Coupled Fluid-Solid Problems -- 2.7.1 Modeling -- 2.7.2 Examples of Applications -- 3 Discretization of Problem Domain -- 3.1 Description of Problem Geometry -- 3.2 Numerical Grids -- 3.2.1 Grid Types -- 3.2.2 Grid Structure -- 3.3 Generation of Structured Grids -- 3.3.1 Algebraic Grid Generation
001442045 5058_ $$a3.3.2 Elliptic Grid Generation -- 3.4 Generation of Unstructured Grids -- 3.4.1 Advancing Front Methods -- 3.4.2 Delaunay Triangulations -- 4 Finite-Volume Methods -- 4.1 General Methodology -- 4.2 Approximation of Surface and Volume Integrals -- 4.3 Discretization of Convective Fluxes -- 4.3.1 Central Differences -- 4.3.2 Upwind Techniques -- 4.3.3 Flux-Blending Technique -- 4.4 Discretization of Diffusive Fluxes -- 4.5 Non-Cartesian Grids -- 4.6 Discrete Transport Equation -- 4.7 Treatment of Boundary Conditions -- 4.8 Algebraic System of Equations -- 4.9 Numerical Example
001442045 5058_ $$a5 Finite-Element Methods -- 5.1 Galerkin Method -- 5.2 Finite-Element Discretization -- 5.3 One-Dimensional Linear Elements -- 5.3.1 Discretization -- 5.3.2 Global and Local View -- 5.4 Practical Realization -- 5.4.1 Assembling of Equation Systems -- 5.4.2 Computation of Element Contributions -- 5.4.3 Numerical Example -- 5.5 One-Dimensional Cubic Elements -- 5.5.1 Discretization -- 5.5.2 Numerical Example -- 5.6 Two-Dimensional Elements -- 5.6.1 Variable Transformation for Triangular Elements -- 5.6.2 Linear Triangular Elements -- 5.6.3 Numerical Example -- 5.6.4 Bilinear Parallelogram Elements
001442045 5058_ $$a5.6.5 Other Two-Dimensional Elements -- 5.7 Numerical Integration -- 6 Other Discretization Methods -- 6.1 Spectral Methods -- 6.1.1 Chebyshev Ansatz -- 6.1.2 Error -- 6.1.3 Extensions -- 6.1.4 Numerical Examples -- 6.2 Mesh-Free Methods -- 6.3 Discontinuous Galerkin Methods -- 7 Time Discretization -- 7.1 Basics -- 7.2 Explicit Methods -- 7.3 Implicit Methods -- 7.4 Numerical Example -- 8 Solution of Algebraic Systems of Equations -- 8.1 Linear Systems -- 8.1.1 Direct Solution Methods -- 8.1.2 Basic Iterative Methods -- 8.1.3 ILU Methods -- 8.1.4 Convergence of Iterative Methods
001442045 506__ $$aAccess limited to authorized users.
001442045 520__ $$aNumerical simulation methods in all engineering disciplines gains more and more importance. The successful and efficient application of such tools requires certain basic knowledge about the underlying numerical techniques. The text gives a practice-oriented introduction in modern numerical methods as they typically are applied in mechanical, chemical, or civil engineering. Problems from heat transfer, structural mechanics, and fluid mechanics constitute a thematical focus of the text. For the basic understanding of the topic aspects of numerical mathematics, natural sciences, computer science, and the corresponding engineering area are simultaneously important. Usually, the necessary information is distributed in different textbooks from the individual disciplines. In the present text the subject matter is presented in a comprehensive multidisciplinary way, where aspects from the different fields are treated insofar as it is necessary for general understanding. Overarching aspects and important questions related to accuracy, efficiency, and cost effectiveness are discussed. The topics are presented in an introductory manner, such that besides basic mathematical standard knowledge in analysis and linear algebra no further prerequisites are necessary. The book is suitable either for self-study or as an accompanying textbook for corresponding lectures. It can be useful for students of engineering disciplines as well as for computational engineers in industrial practice.
001442045 650_0 $$aEngineering mathematics.
001442045 650_6 $$aMathématiques de l'ingénieur.
001442045 655_0 $$aElectronic books.
001442045 77608 $$iPrint version:$$z303076026X$$z9783030760267$$w(OCoLC)1246352728
001442045 852__ $$bebk
001442045 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-76027-4$$zOnline Access$$91397441.1
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001442045 980__ $$aBIB
001442045 980__ $$aEBOOK
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