A Finite Volume Method For Solving The Navier Stokes Equations On Composite Overlapping Grids PDF Download

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A Finite Volume Method for Solving the Navier-Stokes Equations on Composite Overlapping Grids

A Finite Volume Method for Solving the Navier-Stokes Equations on Composite Overlapping Grids
Author:
Publisher:
Total Pages: 19
Release: 1990
Genre:
ISBN:

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The simulation of compressible fluid flows describing engineering applications using finite difference or finite volume methods is complicated by both the difficulty in representing complex geometries using rectangular grids and by the memory size and speed of modern supercomputers. The composite overlapping grid approach can be used to represent complicated geometries using a set of logically rectangular grids, thus allowing the use of finite difference or finite volume methods to approximate the partial differential equations. This approach can also be used to accomplish local mesh refinement for the purpose of resolving locally detailed behavior in the flow fields. This paper discusses the composite overlapping grid method, in particular presenting the modifications necessary to the standard finite volume approach in order to use these grids. Computed examples from compressible hypersonic flow are present as well. 15 refs., 4 figs.


Energy Research Abstracts

Energy Research Abstracts
Author:
Publisher:
Total Pages: 966
Release: 1991
Genre: Power resources
ISBN:

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A Split-Step Scheme for the Incompressible Navier-Stokes

A Split-Step Scheme for the Incompressible Navier-Stokes
Author:
Publisher:
Total Pages:
Release: 2001
Genre:
ISBN:

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We describe a split-step finite-difference scheme for solving the incompressible Navier-Stokes equations on composite overlapping grids. The split-step approach decouples the solution of the velocity variables from the solution of the pressure. The scheme is based on the velocity-pressure formulation and uses a method of lines approach so that a variety of implicit or explicit time stepping schemes can be used once the equations have been discretized in space. We have implemented both second-order and fourth-order accurate spatial approximations that can be used with implicit or explicit time stepping methods. We describe how to choose appropriate boundary conditions to make the scheme accurate and stable. A divergence damping term is added to the pressure equation to keep the numerical dilatation small. Several numerical examples are presented.


Adaptive Method of Lines

Adaptive Method of Lines
Author: A, Vande Wouwer
Publisher: CRC Press
Total Pages: 435
Release: 2001-04-18
Genre: Mathematics
ISBN: 1420035614

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The general Method of Lines (MOL) procedure provides a flexible format for the solution of all the major classes of partial differential equations (PDEs) and is particularly well suited to evolutionary, nonlinear wave PDEs. Despite its utility, however, there are relatively few texts that explore it at a more advanced level and reflect the method's


The Finite Volume Method in Computational Fluid Dynamics

The Finite Volume Method in Computational Fluid Dynamics
Author: F. Moukalled
Publisher: Springer
Total Pages: 799
Release: 2015-08-13
Genre: Technology & Engineering
ISBN: 3319168746

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This textbook explores both the theoretical foundation of the Finite Volume Method (FVM) and its applications in Computational Fluid Dynamics (CFD). Readers will discover a thorough explanation of the FVM numerics and algorithms used for the simulation of incompressible and compressible fluid flows, along with a detailed examination of the components needed for the development of a collocated unstructured pressure-based CFD solver. Two particular CFD codes are explored. The first is uFVM, a three-dimensional unstructured pressure-based finite volume academic CFD code, implemented within Matlab. The second is OpenFOAM®, an open source framework used in the development of a range of CFD programs for the simulation of industrial scale flow problems. With over 220 figures, numerous examples and more than one hundred exercise on FVM numerics, programming, and applications, this textbook is suitable for use in an introductory course on the FVM, in an advanced course on numerics, and as a reference for CFD programmers and researchers.


Applied mechanics reviews

Applied mechanics reviews
Author:
Publisher:
Total Pages: 400
Release: 1948
Genre: Mechanics, Applied
ISBN:

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Third International Conference on Hyperbolic Problems

Third International Conference on Hyperbolic Problems
Author: Björn Engquist
Publisher:
Total Pages: 526
Release: 1991
Genre: Differential equations, Hyperbolic
ISBN:

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These volumes contain papers from the third International Conference on Hyperbolic Problems, which was held on June 11-15, 1990 in Uppsala, Sweden. The conference reflected the current vitality of research in hyperbolic problems and the interaction between theory, numerical methods and applications. Most of the papers deal with non-linear problems. This is particularly true for the applications where fluid mechanics dominates.