The Flux Integral Method For Multidimensional Convection And Diffusion
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The Flux Integral Method For Multidimensional Convection And Diffusion
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Author : National Aeronautics and Space Adm Nasa
language : en
Publisher: Independently Published
Release Date : 2018-10-06
The Flux Integral Method For Multidimensional Convection And Diffusion written by National Aeronautics and Space Adm Nasa and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-06 with Science categories.
The flux-integral method is a procedure for constructing an explicit, single-step, forward-in-time, conservative, control volume update of the unsteady, multidimensional convection-diffusion equation. The convective plus diffusive flux at each face of a control-volume cell is estimated by integrating the transported variable and its face-normal derivative over the volume swept out by the convecting velocity field. This yields a unique description of the fluxes, whereas other conservative methods rely on nonunique, arbitrary pseudoflux-difference splitting procedures. The accuracy of the resulting scheme depends on the form of the subcell interpolation assumed, given cell-average data. Cellwise constant behavior results in a (very artificially diffusive) first-order convection scheme. Second-order convection-diffusion schemes correspond to cellwise linear (or bilinear) subcell interpolation. Cellwise quadratic subcell interpolants generate a highly accurate convection-diffusion scheme with excellent phase accuracy. Under constant-coefficient conditions, this is a uniformly third-order polynomial interpolation algorithm (UTOPIA). Leonard, B. P. and Macvean, M. K. and Lock, A. P. Glenn Research Center NCC3-233; RTOP 505-90-5K
The Flux Integral Method For Multidimensional Convection And Diffusion
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Author : B. P. Leonard
language : en
Publisher:
Release Date : 1994
The Flux Integral Method For Multidimensional Convection And Diffusion written by B. P. Leonard and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Diffusion categories.
The Flux Integral Method For Multidimensional Convection And Diffusion
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Author : B. P. Leonard
language : en
Publisher:
Release Date : 1994
The Flux Integral Method For Multidimensional Convection And Diffusion written by B. P. Leonard and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
A Nodal Integral Method For The Linear Steady State Convection Diffusion Equation
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Author : Edward P. E. Michael
language : en
Publisher:
Release Date : 1995
A Nodal Integral Method For The Linear Steady State Convection Diffusion Equation written by Edward P. E. Michael and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Finite Difference Methods In Heat Transfer
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Author : M. Necati Özişik
language : en
Publisher: CRC Press
Release Date : 2017-07-20
Finite Difference Methods In Heat Transfer written by M. Necati Özişik and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-20 with Science categories.
Finite Difference Methods in Heat Transfer, Second Edition focuses on finite difference methods and their application to the solution of heat transfer problems. Such methods are based on the discretization of governing equations, initial and boundary conditions, which then replace a continuous partial differential problem by a system of algebraic equations. Finite difference methods are a versatile tool for scientists and for engineers. This updated book serves university students taking graduate-level coursework in heat transfer, as well as being an important reference for researchers and engineering. Features Provides a self-contained approach in finite difference methods for students and professionals Covers the use of finite difference methods in convective, conductive, and radiative heat transfer Presents numerical solution techniques to elliptic, parabolic, and hyperbolic problems Includes hybrid analytical–numerical approaches
Hydrobiological Modelling
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Author : Brian J. Williams
language : en
Publisher: Lulu.com
Release Date : 2006
Hydrobiological Modelling written by Brian J. Williams and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Science categories.
The book describes models of aquatic ecosystems, ranging from lakes to estuaries to the deep ocean. It provides a background in the physical and biological processes, numerical methods and elementary ecosystem models. It describes two of the most widely used hydrodynamic models and presents a number of case studies. The practice of modelling in management is discussed.
Advances In Numerical Heat Transfer
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Author : W. Minkowycz
language : en
Publisher: CRC Press
Release Date : 1996-11-01
Advances In Numerical Heat Transfer written by W. Minkowycz and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-11-01 with Science categories.
This is the first volume in the series. It analyzes several fundamental methodology issues in numerical heat transfer and fluid flow and identifies certain areas of active application. The finite-volume approach is presented with the finite-element methods as well as with energy balance analysis. Applications include the latest development in turbulence modeling and current approaches to inverse problems.
The Local Discontinuous Galerkin Method For Time Dependent Convection Diffusion Systems
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Author : Bernardo Cockburn
language : en
Publisher:
Release Date : 1997
The Local Discontinuous Galerkin Method For Time Dependent Convection Diffusion Systems written by Bernardo Cockburn and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
In this paper, we study the Local Discontinuous Galerkin methods for non-linear, time-dependent convection-diffusion systems. These methods are an extension of the Runge-Kutta Discontinuous Galerkin methods for purely hyperbolic systems to convection-diffusion systems and share with those methods their high parallelizability, their high-order formal accuracy, and their easy handling of complicated geometries, for convection dominated problems. It is proven that for scalar equations, the Local Discontinuous Galerkin methods are L2-stable in the nonlinear case. Moreover, in the linear case, it is shown that if polynomials of degree k are used, the methods are k-th order accurate for general triangulations; although this order of convergence is suboptimal, it is sharp for the LDG methods. Preliminary numerical examples displaying the performance of the method are shown.
High Resolution Methods For Incompressible And Low Speed Flows
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Author : D. Drikakis
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-08-02
High Resolution Methods For Incompressible And Low Speed Flows written by D. Drikakis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-02 with Science categories.
The study of incompressible ?ows is vital to many areas of science and te- nology. This includes most of the ?uid dynamics that one ?nds in everyday life from the ?ow of air in a room to most weather phenomena. Inundertakingthesimulationofincompressible?uid?ows,oneoftentakes many issues for granted. As these ?ows become more realistic, the problems encountered become more vexing from a computational point-of-view. These range from the benign to the profound. At once, one must contend with the basic character of incompressible ?ows where sound waves have been analytically removed from the ?ow. As a consequence vortical ?ows have been analytically “preconditioned,” but the ?ow has a certain non-physical character (sound waves of in?nite velocity). At low speeds the ?ow will be deterministic and ordered, i.e., laminar. Laminar ?ows are governed by a balance between the inertial and viscous forces in the ?ow that provides the stability. Flows are often characterized by a dimensionless number known as the Reynolds number, which is the ratio of inertial to viscous forces in a ?ow. Laminar ?ows correspond to smaller Reynolds numbers. Even though laminar ?ows are organized in an orderly manner, the ?ows may exhibit instabilities and bifurcation phenomena which may eventually lead to transition and turbulence. Numerical modelling of suchphenomenarequireshighaccuracyandmostimportantlytogaingreater insight into the relationship of the numerical methods with the ?ow physics.
Chemical Reactor Modeling
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Author : Hugo A. Jakobsen
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-15
Chemical Reactor Modeling written by Hugo A. Jakobsen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-15 with Technology & Engineering categories.
This book closes the gap between Chemical Reaction Engineering and Fluid Mechanics. It provides the basic theory for momentum, heat and mass transfer in reactive systems. Numerical methods for solving the resulting equations as well as the interplay between physical and numerical modes are discussed. The book is written using the standard terminology of this community. It is intended for researchers and engineers who want to develop their own codes, or who are interested in a deeper insight into commercial CFD codes in order to derive consistent extensions and to overcome "black box" practice. It can also serve as a textbook and reference book.