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Two-Fluid Model Stability, Simulation and Chaos
Martín López de Bertodano
William Fullmer
Alejandro Clausse
Victor H. Ransom
出版
Springer
, 2016-11-09
主題
Technology & Engineering / Power Resources / Nuclear
Technology & Engineering / Mechanical
Science / Chaotic Behavior in Systems
Science / Mechanics / Thermodynamics
Science / Chemistry / Industrial & Technical
Technology & Engineering / Power Resources / General
Science / Mechanics / Fluids
Mathematics / Linear & Nonlinear Programming
ISBN
3319449680
9783319449685
URL
http://books.google.com.hk/books?id=ldF5DQAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.