Numerical Solution Of Time Dependent Advection Diffusion Reaction Equations


Numerical Solution Of Time Dependent Advection Diffusion Reaction Equations
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Numerical Solution Of Time Dependent Advection Diffusion Reaction Equations


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



Analysis Of Operator Splitting For Advection Diffusion Reaction Problems From Air Pollution Modelling


Analysis Of Operator Splitting For Advection Diffusion Reaction Problems From Air Pollution Modelling
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Author : D. Lanser
language : en
Publisher:
Release Date : 1998

Analysis Of Operator Splitting For Advection Diffusion Reaction Problems From Air Pollution Modelling written by D. Lanser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Air categories.


Abstract: "Operator or time splitting is often used in the numerical solution of initial boundary value problems for differential equations. It is, for example, standard practice in computational air pollution modelling where we encounter systems of three-dimensional, time-dependent partial differential equations of the advection-diffusion-reaction type. For such systems little attention has been devoted to the analysis of splitting and to the question why splitting can work so well. From the theoretical point of view, the success of splitting is primarily determined by the splitting error. This paper presents an analysis of operator splitting aimed at providing insight into the splitting error. Using the Lie operator formalism, a general expression is derived for a three-term Strang splitting in the pure initial value case. For a class of advection-diffusion-reaction problems the splitting error is analyzed in greater detail. A special case is discussed in which the splitting error can be reduced. Also some attention is paid to the use of operator splitting in initial boundary value problems."



Computational Simulations And Applications


Computational Simulations And Applications
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Author : Jianping Zhu
language : en
Publisher: BoD – Books on Demand
Release Date : 2011-10-26

Computational Simulations And Applications written by Jianping Zhu and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-26 with Computers categories.


The purpose of this book is to introduce researchers and graduate students to a broad range of applications of computational simulations, with a particular emphasis on those involving computational fluid dynamics (CFD) simulations. The book is divided into three parts: Part I covers some basic research topics and development in numerical algorithms for CFD simulations, including Reynolds stress transport modeling, central difference schemes for convection-diffusion equations, and flow simulations involving simple geometries such as a flat plate or a vertical channel. Part II covers a variety of important applications in which CFD simulations play a crucial role, including combustion process and automobile engine design, fluid heat exchange, airborne contaminant dispersion over buildings and atmospheric flow around a re-entry capsule, gas-solid two phase flow in long pipes, free surface flow around a ship hull, and hydrodynamic analysis of electrochemical cells. Part III covers applications of non-CFD based computational simulations, including atmospheric optical communications, climate system simulations, porous media flow, combustion, solidification, and sound field simulations for optimal acoustic effects.



Numerical Methods And Applications


Numerical Methods And Applications
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Author : Ivan Dimov
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-14

Numerical Methods And Applications written by Ivan Dimov 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 2011-01-14 with Computers categories.


This book constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Numerical Methods and Applications, NMA 2010, held in Borovets, Bulgaria, in August 2010. The 60 revised full papers presented together with 3 invited papers were carefully reviewed and selected from numerous submissions for inclusion in this book. The papers are organized in topical sections on Monte Carlo and quasi-Monte Carlo methods, environmental modeling, grid computing and applications, metaheuristics for optimization problems, and modeling and simulation of electrochemical processes.



On The Numerical Solution Of Diffusion Reaction Equations With Singular Source Terms


On The Numerical Solution Of Diffusion Reaction Equations With Singular Source Terms
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Author : Maksat Ashyraliyev
language : en
Publisher:
Release Date : 2005

On The Numerical Solution Of Diffusion Reaction Equations With Singular Source Terms written by Maksat Ashyraliyev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.




Rosenbrock Wanner Type Methods


Rosenbrock Wanner Type Methods
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Author : Tim Jax
language : en
Publisher: Springer Nature
Release Date : 2021-07-24

Rosenbrock Wanner Type Methods written by Tim Jax and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-24 with Mathematics categories.


This book discusses the development of the Rosenbrock—Wanner methods from the origins of the idea to current research with the stable and efficient numerical solution and differential-algebraic systems of equations, still in focus. The reader gets a comprehensive insight into the classical methods as well as into the development and properties of novel W-methods, two-step and exponential Rosenbrock methods. In addition, descriptive applications from the fields of water and hydrogen network simulation and visual computing are presented.



Moving Finite Element Method


Moving Finite Element Method
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Author : Maria do Carmo Coimbra
language : en
Publisher: CRC Press
Release Date : 2016-11-30

Moving Finite Element Method written by Maria do Carmo Coimbra and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-30 with Mathematics categories.


This book focuses on process simulation in chemical engineering with a numerical algorithm based on the moving finite element method (MFEM). It offers new tools and approaches for modeling and simulating time-dependent problems with moving fronts and with moving boundaries described by time-dependent convection-reaction-diffusion partial differential equations in one or two-dimensional space domains. It provides a comprehensive account of the development of the moving finite element method, describing and analyzing the theoretical and practical aspects of the MFEM for models in 1D, 1D+1d, and 2D space domains. Mathematical models are universal, and the book reviews successful applications of MFEM to solve engineering problems. It covers a broad range of application algorithm to engineering problems, namely on separation and reaction processes presenting and discussing relevant numerical applications of the moving finite element method derived from real-world process simulations.



Air Water And Soil Quality Modelling For Risk And Impact Assessment


Air Water And Soil Quality Modelling For Risk And Impact Assessment
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Author : Adolf Ebel
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-02

Air Water And Soil Quality Modelling For Risk And Impact Assessment written by Adolf Ebel 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 2007-05-02 with Science categories.


This book contains the proceedings of the NATO Advanced Research Workshop on Air, Water and Soil Quality Modelling for Risk and Impact Assessment. The aim of the workshop was to further joint environmental compartment modelling and applications of control theory to environmental management. It provides an overview of ongoing research in this field regarding assessment of environmental risks and impacts.



Flux Corrected Transport


Flux Corrected Transport
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Author : Dmitri Kuzmin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-02

Flux Corrected Transport written by Dmitri Kuzmin 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 2012-04-02 with Science categories.


Addressing students and researchers as well as Computational Fluid Dynamics practitioners, this book is the most comprehensive review of high-resolution schemes based on the principle of Flux-Corrected Transport (FCT). The foreword by J.P. Boris and historical note by D.L. Book describe the development of the classical FCT methodology for convection-dominated transport problems, while the design philosophy behind modern FCT schemes is explained by S.T. Zalesak. The subsequent chapters present various improvements and generalizations proposed over the past three decades. In this new edition, recent results are integrated into existing chapters in order to describe significant advances since the publication of the first edition. Also, 3 new chapters were added in order to cover the following topics: algebraic flux correction for finite elements, iterative and linearized FCT schemes, TVD-like flux limiters, acceleration of explicit and implicit solvers, mesh adaptation, failsafe limiting for systems of conservation laws, flux-corrected interpolation (remapping), positivity preservation in RANS turbulence models, and the use of FCT as an implicit subgrid scale model for large eddy simulations.



Large Scale Scientific Computing


Large Scale Scientific Computing
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Author : Ivan Lirkov
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-28

Large Scale Scientific Computing written by Ivan Lirkov 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 2008-03-28 with Computers categories.


This book constitutes the thoroughly refereed post-conference proceedings of the 6th International Conference on Large-Scale Scientific Computations, LSSC 2007, held in Sozopol, Bulgaria, in June 2007. The 81 revised full papers presented together with 5 invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections on robust multilevel and hierarchical preconditioning methods; monte carlo: tools, applications, distributed computing; operator splittings, their application and realization; recent advances in methods and applications for large scale computations and optimization of coupled engineering problems; control systems; environmental modelling; computational grid and large-scale problems; application of metaheuristics to large-scale problems; and contributed talks.