Time Integration Of Convection Diffusion Problems
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Time Integration Of Convection Diffusion Problems
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Author : Nils-Erik Wiberg
language : en
Publisher:
Release Date : 1988
Time Integration Of Convection Diffusion Problems written by Nils-Erik Wiberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
Adaptive And Hierarchical Time Integration Of Convection Diffusion Problems
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Author : Nils-Erik Wiberg
language : en
Publisher:
Release Date : 1987
Adaptive And Hierarchical Time Integration Of Convection Diffusion Problems written by Nils-Erik Wiberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Time Integration Of Convection Diffusion Problems By Hierarchical Functions
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Author : Peter Möller
language : en
Publisher:
Release Date : 1991
Time Integration Of Convection Diffusion Problems By Hierarchical Functions written by Peter Möller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Adaptive And Hierarchical Weighted Residual And Least Squares Time Integration Of Convection Diffusion Problems
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Author : Nils-Erik Wiberg
language : en
Publisher:
Release Date : 1986
Adaptive And Hierarchical Weighted Residual And Least Squares Time Integration Of Convection Diffusion Problems written by Nils-Erik Wiberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with categories.
Numerical Solution Of Time Dependent Advection Diffusion Reaction Equations
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Author : Willem Hundsdorfer
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Numerical Solution Of Time Dependent Advection Diffusion Reaction Equations written by Willem Hundsdorfer 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 2013-04-17 with Technology & Engineering categories.
Unique book on Reaction-Advection-Diffusion problems
Convection Diffusion Problems
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Author : Martin Stynes
language : en
Publisher:
Release Date : 2018
Convection Diffusion Problems written by Martin Stynes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with MATHEMATICS categories.
Many physical problems involve diffusive and convective (transport) processes. When diffusion dominates convection, standard numerical methods work satisfactorily. But when convection dominates diffusion, the standard methods become unstable, and special techniques are needed to compute accurate numerical approximations of the unknown solution. This convection-dominated regime is the focus of the book. After discussing at length the nature of solutions to convection-dominated convection-diffusion problems, the authors motivate and design numerical methods that are particularly suited to this c.
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
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.
An Assessment Of Solvers For Algebraically Stabilized Discretizations Of Convection Diffusion Reaction Equations
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Author : Abhinav Jha
language : en
Publisher:
Release Date : 2021
An Assessment Of Solvers For Algebraically Stabilized Discretizations Of Convection Diffusion Reaction Equations written by Abhinav Jha and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
We consider flux-corrected finite element discretizations of 3D convection-dominated transport problems and assess the computational efficiency of algorithms based on such approximations. The methods under investigation include flux-corrected transport schemes and monolithic limiters. We discretize in space using a continuous Galerkin method and P1 or Q1 finite elements. Time integration is performed using the Crank- Nicolson method or an explicit strong stability preserving Runge-Kutta method. Nonlinear systems are solved using a fixed-point iteration method, which requires solution of large linear systems at each iteration or time step. The great variety of options in the choice of discretization methods and solver components calls for a dedicated comparative study of existing approaches. To perform such a study, we define new 3D test problems for time dependent and stationary convection-diffusion-reaction equations. The results of our numerical experiments illustrate how the limiting technique, time discretization and solver impact on the overall performance.
Revival Numerical Solution Of Convection Diffusion Problems 1996
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Author : K.W. Morton
language : en
Publisher: CRC Press
Release Date : 2019-02-25
Revival Numerical Solution Of Convection Diffusion Problems 1996 written by K.W. Morton and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-25 with Mathematics categories.
Accurate modeling of the interaction between convective and diffusive processes is one of the most common challenges in the numerical approximation of partial differential equations. This is partly due to the fact that numerical algorithms, and the techniques used for their analysis, tend to be very different in the two limiting cases of elliptic and hyperbolic equations. Many different ideas and approaches have been proposed in widely differing contexts to resolve the difficulties of exponential fitting, compact differencing, number upwinding, artificial viscosity, streamline diffusion, Petrov-Galerkin and evolution Galerkin being some examples from the main fields of finite difference and finite element methods. The main aim of this volume is to draw together all these ideas and see how they overlap and differ. The reader is provided with a useful and wide ranging source of algorithmic concepts and techniques of analysis. The material presented has been drawn both from theoretically oriented literature on finite differences, finite volume and finite element methods and also from accounts of practical, large-scale computing, particularly in the field of computational fluid dynamics.