Overview
- 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 contributions in numerical methods for differential equations
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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About this book
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 any reader interested in numerical methods for differential equations.
Keywords
Table of contents (5 chapters)
Authors and Affiliations
About the authors
Messias Meneguette Junior is a Professor at the São Paulo State University, Brazil. He holds a PhD in Numerical Analysis (1987) and a Master's degree in Mathematical Modelling and Numerical Analysis (1983), both from the University of Oxford, UK. He also has a Master's degree in Mathematics (1981) from the University of São Paulo/ICMC São Carlos, Brazil.
Carlos Henrique Marchi has a PhD in Mechanical Enginering (2001) and a Master's degree (1992), both from the Federal University of Santa Catarina, Brazil. His research activities focus on variational principles and numerical methods.
Bibliographic Information
Book Title: Numerical Solutions Applied to Heat Transfer with the SPH Method
Book Subtitle: A Verification of Approximations for Speed and Accuracy
Authors: Luciano Pereira da Silva, Messias Meneguette Junior, Carlos Henrique Marchi
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-3-031-28946-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Softcover ISBN: 978-3-031-28945-3Published: 09 August 2023
eBook ISBN: 978-3-031-28946-0Published: 08 August 2023
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: XXVII, 119
Number of Illustrations: 2 b/w illustrations, 82 illustrations in colour
Topics: Computational Mathematics and Numerical Analysis, Engineering Thermodynamics, Heat and Mass Transfer, Analysis, Applications of Mathematics