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Titlebook: Numerical Solutions Applied to Heat Transfer with the SPH Method; A Verification of Ap Luciano Pereira da Silva,Messias Meneguette Junior B

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书目名称Numerical Solutions Applied to Heat Transfer with the SPH Method
副标题A Verification of Ap
编辑Luciano Pereira da Silva,Messias Meneguette Junior
视频video
概述Offers an in-depth verification of numerical solutions where the SPH method is used.Outlines techniques to speed up convergence and increase accuracy of solutions.Gathers state-of-the-art contribution
丛书名称SpringerBriefs in Mathematics
图书封面Titlebook: Numerical Solutions Applied to Heat Transfer with the SPH Method; A Verification of Ap Luciano Pereira da Silva,Messias Meneguette Junior B
描述This book offers an in-depth verification of numerical solutions for differential equations modeling heat transfer phenomena, where the smoothed particle hydrodynamics (SPH) method is used to discretize the mathematical models. Techniques described in this book aim to speed up the convergence of numerical solutions and increase their accuracy by significantly reducing the discretization error..In their quest, the authors shed light on new sources of numerical error that are specific to the SPH method and, through them, they identify the characteristics of the solutions influenced by such errors. The accuracy of numerical solutions is also improved with the application of advanced tools like the repeated Richardson extrapolation (RRE) in quadruple precision, which was adapted to consider fixed or moving particles. The book finishes with the conclusion that the qualitative and quantitative verification of numerical solutions through coherence tests andmetrics are currently a methodology of excellence to treat computational heat transfer problems..Mathematicians in applied fields and engineers modelling and solving real physical phenomena can greatly benefit from this work, as well as
出版日期Book 2023
关键词numerical methods; computational heat transfer; smoothed particle hydrodynamics; SPH method; repeated Ri
版次1
doihttps://doi.org/10.1007/978-3-031-28946-0
isbn_softcover978-3-031-28945-3
isbn_ebook978-3-031-28946-0Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Numerical Solutions Applied to Heat Transfer with the SPH Method978-3-031-28946-0Series ISSN 2191-8198 Series E-ISSN 2191-8201
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Introduction,In this chapter we comment on the general ideas of our book. In it we highlight the objectives we have in mind when preparing each of its chapters. We present the problems that we are going to solve as well as a flowchart with all the steps from discretization of the domain to numerical solutions.
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SPH Applied to Computational Heat Transfer Problems,This chapter is intended for the presentation of the numerical simulations that cover all the contents of Chap. .. In it we show the applications of RRE, as well as AML and discretization using fixed sensor particle. In addition, we show some benchmark solutions for the 1D models of steady and unsteady state heat diffusion
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Conclusion,To highlight some of the results shown throughout our book, we have made a table to concentrate the orders of accuracy that we have been able to determine. In Table 5.1 there is a summary of the variables of interest and the orders of accuracy obtained . and . in all the examples presented in this book.
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2191-8198 accuracy of solutions.Gathers state-of-the-art contributionThis book offers an in-depth verification of numerical solutions for differential equations modeling heat transfer phenomena, where the smoothed particle hydrodynamics (SPH) method is used to discretize the mathematical models. Techniques d
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