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Numerical solutions applied to heat transfer with the SPH methoda verification of approximations for speed and accuracy /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Numerical solutions applied to heat transfer with the SPH methodby Luciano Pereira da Silva, Messias Meneguette Junior, Carlos Henrique Marchi.
其他題名:	a verification of approximations for speed and accuracy /
作者:	Silva, Luciano Pereira da.
其他作者:	Meneguette, Messias.
出版者:	Cham :Springer International Publishing :2023.
面頁冊數:	xxvii, 119 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	HeatTransmission
電子資源:	https://doi.org/10.1007/978-3-031-28946-0
ISBN:	9783031289460$q(electronic bk.)

Numerical solutions applied to heat transfer with the SPH methoda verification of approximations for speed and accuracy /
Silva, Luciano Pereira da.

Numerical solutions applied to heat transfer with the SPH methoda verification of approximations for speed and accuracy /[electronic resource] :by Luciano Pereira da Silva, Messias Meneguette Junior, Carlos Henrique Marchi. - Cham :Springer International Publishing :2023. - xxvii, 119 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8201. - SpringerBriefs in mathematics..

Introduction -- Numerical Modeling of Heat Diffusion -- Numerical error analysis and heat diffusion models -- SPH applied to computational heat transfer problems -- Conclusion.

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 and metrics 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 any reader interested in numerical methods for differential equations.

ISBN: 9783031289460$q(electronic bk.)

Standard No.: 10.1007/978-3-031-28946-0doiSubjects--Topical Terms:

190363
Heat
--Transmission

LC Class. No.: TJ260

Dewey Class. No.: 621.4022

Numerical solutions applied to heat transfer with the SPH methoda verification of approximations for speed and accuracy /
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520 $a 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 and metrics 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 any reader interested in numerical methods for differential equations.
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