Two-Fluid Model Stability, Simulation and Chaos

Authors: Bertodano, M.L. de, Fullmer, W., Clausse, A., Ransom, V.

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  • Analyzes linear and nonlinear regularizations that do not eliminate or suppress the KH instability artificially
    Reviews finite different First Order Upwind methods and develops second order methods in order to reduce numerical dissipation and to analyze numerical convergence
    Appendices demonstrate the analyses that are applied throughout the book and present the formal derivation of the 1D TFM for near horizontal flows, making the book a complete reference for students and researchers

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eBook 118,99 €
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  • ISBN 978-3-319-44968-5
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Hardcover 155,99 €
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  • ISBN 978-3-319-44967-8
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Softcover 155,99 €
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About this book

This book addresses the linear and nonlinear two-phase stability of the one-dimensional Two-Fluid Model (TFM) material waves and the numerical methods used to solve it. The TFM fluid dynamic stability is a problem that remains open since its inception more than forty years ago. The difficulty is formidable because it involves the combined challenges of two-phase topological structure and turbulence, both nonlinear phenomena. The one dimensional approach permits the separation of the former from the latter.The authors first analyze the kinematic and Kelvin-Helmholtz instabilities with the simplified one-dimensional Fixed-Flux Model (FFM). They then analyze the density wave instability with the well-known Drift-Flux Model. They demonstrate that the Fixed-Flux and Drift-Flux assumptions are two complementary TFM simplifications that address two-phase local and global linear instabilities separately. Furthermore, they demonstrate with a well-posed FFM and a DFM two cases of nonlinear two-phase behavior that are chaotic and Lyapunov stable. On the practical side, they also assess the regularization of an ill-posed one-dimensional TFM industrial code. Furthermore, the one-dimensional stability analyses are applied to obtain well-posed CFD TFMs that are either stable (RANS) or Lyapunov stable (URANS), with the focus on numerical convergence.

About the authors

Martín López de Bertodano is Associate Professor of Nuclear Engineering at Purdue University.William D. Fullmer is a graduate student, specializing in computational fluid dynamics and computational multiphase flow, at Purdue University.Alejandro Clausse, Universidad Nacional del Centro, Tandil, Argentina.Victor H. Ransom is Professor Emeritus in the School of Nuclear Engineering at Purdue University.

Table of contents (9 chapters)

Table of contents (9 chapters)

Buy this book

eBook 118,99 €
price for Spain (gross)
  • ISBN 978-3-319-44968-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 155,99 €
price for Spain (gross)
  • ISBN 978-3-319-44967-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 155,99 €
price for Spain (gross)
  • ISBN 978-3-319-83174-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Two-Fluid Model Stability, Simulation and Chaos
Authors
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-44968-5
DOI
10.1007/978-3-319-44968-5
Hardcover ISBN
978-3-319-44967-8
Softcover ISBN
978-3-319-83174-9
Edition Number
1
Number of Pages
XX, 358
Number of Illustrations
14 b/w illustrations, 60 illustrations in colour
Topics