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Two-Fluid Model Stability, Simulation and Chaos [electronic resource] / by Martín López de Bertodano, William Fullmer, Alejandro Clausse, Victor H. Ransom.

By: Bertodano, Martín López de [author.].
Contributor(s): Fullmer, William [author.] | Clausse, Alejandro [author.] | Ransom, Victor H [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Cham : Springer International Publishing : Imprint: Springer, 2017Edition: 1st ed. 2017.Description: XX, 358 p. 74 illus., 60 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319449685.Subject(s): Nuclear engineering | Fluid mechanics | Nonlinear Optics | Thermodynamics | Heat engineering | Heat transfer | Mass transfer | Chemistry, Technical | Nuclear Energy | Engineering Fluid Dynamics | Nonlinear Optics | Engineering Thermodynamics, Heat and Mass Transfer | Industrial ChemistryAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 621.48 Online resources: Click here to access online
Contents:
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.
In: Springer Nature eBookSummary: 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.
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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.

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.

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