Characteristics Finite Element Methods in Computational Fluid Dynamics
By: Iannelli, Joe [author.].
Contributor(s): SpringerLink (Online service).
Material type:
BookSeries: Computational Fluid and Solid Mechanics: Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.Description: XXVI, 730 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540453437.Subject(s): Physics | Computer mathematics | Continuum physics | Fluids | Applied mathematics | Engineering mathematics | Computational intelligence | Fluid mechanics | Physics | Classical Continuum Physics | Engineering Fluid Dynamics | Appl.Mathematics/Computational Methods of Engineering | Computational Science and Engineering | Fluid- and Aerodynamics | Computational IntelligenceDDC classification: 531 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
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E books
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PK Kelkar Library, IIT Kanpur | Available | EBK9123 |
Governing Equations of Fluid Mechanics -- Constitutive and State Equations -- State Equations for Reacting Air -- Euler and Navier Stokes Systems -- Quasi One-Dimensional and Free-Surface Equations -- Overview of CFD Algorithm Development -- The Finite Element Method -- Non-Linearly Stable Implicit Runge-Kutta Time Integrations -- One-Dimensional Non-Discrete Characteristics-Bias Resolution -- Characteristics-Bias Controller and Length -- Computational Analysis of Quasi-1-D Incompressible Flows -- Numerical Study of Generalized Quasi-1-D Free Surface Flows -- CFD Investigation of Generalized Quasi-1-D Compressible Flows -- Multi-Dimensional Characteristics and Characteristics-Bias Systems -- Multi-Dimensional Incompressible Flows -- Multi-Dimensional Free-Surface Flows -- Multi-Dimensional Compressible Flows.
This book details a systematic characteristics-based finite element procedure to investigate incompressible, free-surface and compressible flows. The fluid dynamics equations are derived from basic thermo-mechanical principles and the multi-dimensional and infinite-directional upstream procedure is developed by combining a finite element discretization of a characteristics-bias system with an implicit Runge-Kutta time integration. For the computational solution of the Euler and Navier Stokes equations, the procedure relies on the mathematics and physics of multi-dimensional characteristics. As a result, the procedure crisply captures contact discontinuities, normal as well as oblique shocks, and generates essentially non-oscillatory solutions for incompressible, subsonic, transonic, supersonic, and hypersonic inviscid and viscous flows.
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