Characteristics finite element methods in computational fluid dynamics

The book details multi-dimensional upstream-bias algorithms for the numerical solution of the Euler and Navier-Stokes equations. Several sections derive the Fluid Dynamics equations from fundamental thermo-mechanics principles and systematically develops multi-dimensional upstream CFD algorithms with finite element procedures and implicit Runge-Kutta time integration algorithms. For mesh independence the formulation is developed at the differential equation level, before any spatial discretization. This formulation generates non-discrete characteristics-bias systems that incorporate an intrinsically multi-dimensional and infinite-directional genuinely upwind dissipation mechanism. A traditional centered discretization of the characteristics-bias system then automatically generates consistent and multi-dimensional arbitrary-mesh upstream discretizations of the Euler and Navier-Stokes Equations. TOC:Overview.- Governing Equations of Fluid Dynamics.- Constitutive and State Equations.- State Equations for Reacting Air.- Euler and Navier-Stokes Systems.- Quasi One-Dimensional and Free-SurfaceFlow Models.- Curvilinear Coordinates.- Multi-Dimensional Characteristics.- Non-Discrete Acoustics-Convection Upstream-Bias Formulations.- Upstream-Bias Controller.- Development of CFD Algorithms.- Numerical Methods.- Finite Elements.- Non-Linearly Stable Implicit Runge-Kutta Time Integrations.- Computational Analysis of Incompressible Flows.- Numerical Study of Open-Channel Flows.- CFD Investigation of Compressible Flows

Angaben zum Objekt

• Standort: Deutsche Nationalbibliothek Frankfurt am Main
• ISBN: 9783540251811 ; 3540251812
• Maße: 24 cm
• Umfang: XXV, 727 S.
• Sprache: Englisch
• Anmerkungen: Ill., graph. Darst. ; Literaturverz. S. 711 - 725

Klassifikation und Themen

• Klassifikation: Physik ; Mathematik ; Ingenieurwissenschaften und Maschinenbau
• Schlagwort: Numerische Strömungssimulation ; Finite-Elemente-Methode

Beteiligte, Orts- und Zeitangaben

• Ereignis: Veröffentlichung
• (wo): Berlin, Heidelberg, New York
• (wer): Springer
• (wann): 2006
• Urheber: Iannelli, Joe

Weitere Informationen

• Inhaltsverzeichnis: https://d-nb.info/973669632/04
• Rechteinformation: Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
• Letzte Aktualisierung: 11.06.2025, 14:24 MESZ