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Tekst achterflap
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 ofnonlinear 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.
Beschrijving
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 ofnonlinear 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.
Biografie
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.
Kenmerk
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 Includes supplementary material: sn.pub/extras
Inhoudsopgave
Introduction.- Fixed-Flux Model.- Two-Fluid Model.- Fixed-Flux Model Chaos.- Fixed-Flux Model.- Drift-Flux Model.- Drift-Flux Model Non-Linear Dynamics and Chaos.- RELAP5 Two-Fluid Model.- Two-Fluid Model CFD.
