ENGLISH

Basic Control Volume Finite Element Methods For Fluids And Solids

By Vaughan R Voller

Book information

Publisher
World Scientific Publishing Company
Year
2009
ISBN
9812834982, 9789812834980
Open Library ID
OL24063138M
Language
english
Format
PDF
Filesize
3 MB (3199576 bytes)
Series
Iisc Research Monographs
Pages
184\185
Time added
2011-04-20 14:05:05
Механика;Механика жидкостей и газов;Гидрогазодинам

Description

The Control Volume Finite Element Method (CVFEM) is a hybrid numerical method, combining the physics intuition of Control Volume Methods with the geometric flexibility of Finite Element Methods. The concept of this monograph is to introduce a common framework for the CVFEM solution so that it can be applied to both fluid flow and solid mechanics problems. To emphasize the essential ingredients, discussion focuses on the application to problems in two-dimensional domains which are discretized with linear-triangular meshes. This allows for a straightforward provision of the key information required to fully construct working CVFEM solutions of basic fluid flow and solid mechanics problems. Contents: Governing Equations; The Essential Ingredients in a Numerical Solution; Control Volume Finite Element Data Structure; Control Volume Finite Element Method (CVFEM) Discretization and Solution; The Control Volume Finite Difference Method; Analytical and CVFEM Solutions of Advection-Diffusion Equations; A Plane Stress CVFEM Solution; CVFEM Stream Function-Vorticity Solution for a Lid Driven Cavity Flow; Notes Toward the Development of a 3-D CVFEM Code.

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