Publication year: 2016
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The book serves both as a reference for various scaled models with corresponding dimensionless numbers, and as a resource for learning the art of scaling. A special feature of the book is the emphasis on how to create software for scaled models, based on existing software for unscaled models. Scaling (or non-dimensionalization) is a mathematical technique that greatly simplifies the setting of input parameters in numerical simulations. Moreover, scaling enhances the understanding of how different physical processes interact in a differential equation model. Compared to the existing literature, where the topic of scaling is frequently encountered, but very often in only a brief and shallow setting, the present book gives much more thorough explanations of how to reason about finding the right scales.
Subject: Mathematics and Statistics, Ordinary Differential Equations, Partial Differential Equations, Mathematical Modeling and Industrial Mathematics, Computational Science and Engineering, Simulation and Modeling, scaling, non-dimensionalization, dimensionless numbers, fluid mechanics, multiphysics models