Control-volume mixed finite element methods
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Control-volume mixed finite element methods

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Published by Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, National Technical Information Service, distributor in Hampton, VA, [Springfield, Va .
Written in English


  • Finite element method,
  • Volume,
  • Anisotropy,
  • Conservation equations

Book details:

Edition Notes

Other titlesControl volume mixed finite element methods.
StatementJ.E. Jones ... [et al].
SeriesICASE report -- no. 97-16., NASA contractor report -- 201663., NASA contractor report -- NASA CR-201663.
ContributionsJones, J. E., Institute for Computer Applications in Science and Engineering.
The Physical Object
Pagination1 v.
ID Numbers
Open LibraryOL17564418M

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There are several methods that can be used to solve the governing equations of fluid flow and heat transfer, such as the finite difference method, the finite volume method (FVM), and the finite element method (FEM). The control volume finite element method (CVFEM) comprises interesting characteristics from both the FVM and FEM. The variants include the control volume, multipoint flux approximation, nonconforming, mixed, discontinuous, characteristic, adaptive, and multiscale finite element methods. Illustrative computer programs in Fortran and C++ are described. An extensive set of exercises are provided in each by: 7. Control Volume Finite Element Methods for Flow in Porous Media: Resin Transfer Molding. By Jamal Samir, Jamal Echaabi and Mohamed Hattabi. Submitted: December 3rd Reviewed: April 24th Published: October 10th DOI: /Author: Jamal Samir, Jamal Echaabi, Mohamed Hattabi. The Control Volume Finite Element Method (CVFEM) is a hybrid numerical methods, 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 Cited by:

We consider control‐volume mixed finite element methods for the approximation of second‐order elliptic problems on rectangular grids. These methods associate control volumes (covolumes) with the vector variable as well as the scalar, obtaining local algebraic representation of the vector equation (e.g., Darcy’s law) as well as the scalar equation (e.g., conservation of mass). COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus. The control volume-based finite element method (CVFEM) uses the benefits of both the finite volume and the finite element methods for simulation of multi-physics problems in complex geometries [9. Application of Control Volume Based Finite Element Method (CVFEM) for Nanofluid Flow and Heat Transfer discusses this powerful numerical method that uses the advantages of both finite volume and finite element methods for the simulation of multi-physics problems in complex geometries, along with its applications in heat transfer and nanofluid flow.. The book applies these methods to solve.

() Multiphase flow in heterogeneous porous media: A classical finite element method versus an implicit pressure-explicit saturation-based mixed finite element-finite volume approach. International Journal for Numerical Methods in Fluids , Cited by: FINITE VOLUME METHODS LONG CHEN The finite volume method (FVM) is a discretization technique for partial differential be easily obtained by using that of mixed finite element methods [?]. Since the control volume is the element (also called cell) of the mesh and the unknown Finite volume (FV) methods for nonlinear conservation laws In. ON THE CONTROL VOLUME FINITE ELEMENT METHODS where jmamcj denotes the length of edge uently, if a is a constant tensor on the triangle K, it follows from (), (), (), the deflnition of ai and bi, and simple algebraic calculations that fi = jKj Xk l=i ar‚l ¢r‚i pl; () which shows that the CVFE and standard flnite element methods using piecewise. The physical model, along with important geometrical parameters and the mesh of the enclosure used in the present control volume finite element method (CVFEM) program, are shown in Fig. [74].The width and height of the enclosure are right and top walls of the enclosure are maintained at constant cold temperatures T c, whereas the inner circular wall is maintained at constant hot.