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

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Numerical solutions applied to heat transfer with the SPH method/ by Luciano Pereira da Silva, Messias Meneguette Junior, Carlos Henrique Marchi.
Reminder of title:	a verification of approximations for speed and accuracy /
Author:	Silva, Luciano Pereira da.
other author:	Meneguette, Messias.
Published:	Cham :Springer International Publishing : : 2023.,
Description:	xxvii, 119 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Heat - Transmission -
Online resource:	https://doi.org/10.1007/978-3-031-28946-0
ISBN:	9783031289460

Numerical solutions applied to heat transfer with the SPH method = a 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

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

557601
Heat
--Transmission

LC Class. No.: TJ260

Dewey Class. No.: 621.4022

Numerical solutions applied to heat transfer with the SPH method = a verification of approximations for speed and accuracy /
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245 1 0 $a Numerical solutions applied to heat transfer with the SPH method $h [electronic resource] : $b a verification of approximations for speed and accuracy / $c by Luciano Pereira da Silva, Messias Meneguette Junior, Carlos Henrique Marchi.
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505 0 $a Introduction -- Numerical Modeling of Heat Diffusion -- Numerical error analysis and heat diffusion models -- SPH applied to computational heat transfer problems -- Conclusion.
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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