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Finite Element Methods for Viscous Incompressible Flows

A Guide to Theory, Practice and Algorithms

Max D. Gunzberger (Autor)

Buch | Hardcover

288 Seiten

1989
Academic Press Inc (Verlag)
978-0-12-307350-1 (ISBN)

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In this book, the author examines mathematical aspects of finite element methods for the approximate solution of incompressible flow problems. The principal goal is to present some of the important mathematical results that are relevant to practical computations. In so doing, useful algorithms are also discussed. Although rigorous results are stated, no detailed proofs are supplied; rather, the intention is to present these results so that they can serve as a guide for the selection and, in certain respects, the implementation of algorithms.

Discretization of the Primitive Variable Formulation: A Primitive Variable Formulation. The Finite Element Problem and the Div-St abi lity Condition. Finite Element Spaces. Alternate Weak Forms, Boundary Conditions and Numerical Integration. Penalty Methods. Solution of the Discrete Equations: Newton's Method and Other Iterative Methods. Solving the Linear Systems. Solution Methods for Large Reynolds Numbers. Time Dependent Problems: A Weak Formulation and Spatial Discretizations. Time Discretizations. The Streamfunction-Vorticity Formulation: Algorithms for the Streamfunction-Vorticity Equations. Solution Techniques for Multiply Connected Domains. The Streamfunction Formulation: Algorithms for Determining Streamfunction Approximations. Eigenvalue Problems Connected with Stability Studies for Viscous Flows: Energy Stability Analysis of Viscous Flows. Linearized Stability Analysis of Stationary Viscous Flows. Exterior Problems: Truncated Domain-Artificial Boundary Condition Methods. Nonlinear Constitutive Relations: A Ladyzhenskaya Model and Algebraic Turbulence Models. Bingham Fluids. Electromagnetically or Thermally Coupled Flows: Flows of Liquid Metals. The Boussinesq Equations. Remarks on Some Topics That Have Not Been Considered: Problems, Formulations, Algorithms, and Other Issues That Have Not Been Considered. Bibliography. Glossary of Symbols. Index.

Erscheint lt. Verlag	19.10.1989
Reihe/Serie	Computer Science and Scientific Computing
Verlagsort	San Diego
Sprache	englisch
Maße	165 x 241 mm
Gewicht	636 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik
Themenwelt	Technik ► Maschinenbau
ISBN-10	0-12-307350-2 / 0123073502
ISBN-13	978-0-12-307350-1 / 9780123073501
Zustand	Neuware