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Validation of Advanced Computational Methods for Multiphase Flow

ISBN: 1-56700-218-8

Validation of Advanced Computational Methods for Multiphase Flow

Herve Lemonnier
DTN/SE2T/LIEX/ CEA/Grenoble, 38054 Grenoble Cedex 9, France

Didier Jamet
DER/SSTH/LMDL, Commissariat à l’Energie Atomique/Grenoble, 38054 Grenoble Cedex 9, France

Olivier Lebaigue
DER/SSTH/LMDL, Commissariat à l’Energie Atomique/Grenoble, 38054 Grenoble Cedex 9, France

Description

The editors have carried out a major project published here to select and specify a range of hot cases for interface tracking methods. The cases range from single individual bubble behavior to more complex cases such as cavitation. The cases will be of enormous help to all specialists using advanced computational methods to classify and validate multiphase flows. Practical significance of each case is elucidated.



260 pages, ©2005

Table of contents:

Contents
Foreword
Preface
References
1 Test-case No 1: Rise of a spherical cap bubble in a stagnant liquid (PN)
1.1 Practical significance and interest of the test-case
1.2 Definitions and model description
1.3 Summary of the requested calculations
References
2 Test-case No 2: Free rise of a liquid inclusion in a stagnant liquid (PN, PE)
2.1 Practical significance and interest of the test-case
2.2 Definitions and model description
2.3 A series of six numerical test-cases
2.4 An experimental test-case
References
3 Test-case No 3: Propagation of pure capillary standing waves (PA)
3.1 Practical significance and interest of the test-case
3.2 Definitions and model description
3.3 A series of test-cases
References
4 Test-case No 4: Rayleigh-Taylor instability for isothermal, incompressible and non-viscous fluids (PA)
4.1 Practical significance and interest of the test-case
4.2 Definitions and physical model description
4.3 Test-case description
References
5 Test-case No 5: Oscillation of an inclusion immersed in a quiescent fluid (PA)
5.1 Practical significance and interest of the test-case
5.2 Definitions and model description
5.3 Numerical settings, initial and boundary conditions
5.4 Requested calculations
5.5 An illustrative example
5.6 Additional information for 2D calculations.
References
6 Test-case No 6: Two-dimensional droplet pinning on an inclined wall (PC)
6.1 Practical significance and interest of the test-case
6.2 Description of the model for the contact angle hysteresis and definition of the test-case
6.3 Test procedure
6.4 Comparison criteria
References
7 Test-case No 7a: One-dimensional phase change of a vapor phase in contact with a wall (PA)
7.1 Practical significance and interest of the test-case
7.2 General definitions and model description
7.3 Steady state model
7.4 Unsteady model for a phase initially uniformly superheated or undercooled
References
8 Test-case No 7b: Isothermal vaporization due to piston aspiration (PA)
8.1 Practical significance and interest of the test-case
8.2 Definitions and model description
8.3 Test-case description
References
9 Test-case No 10: Parasitic currents induced by surface tension (PC)
9.1 Practical significance and interest of the test-case
9.2 Definitions and physical model description
9.3 Test-case description
9.4 Example of comparison exercise
References
10 Test-case No 11a: Translation and rotation of a concentration disk (N)
10.1 Practical significance and interest of the test-case
10.2 Definitions and physical model description
10.3 Test-case description
10.4 Example of comparison exercise
References
11 Test-case No 11b: Stretching of a circle in a vortex velocity field (N)
11.1 Practical significance and interest of the test-case
11.2 Definitions and physical model description
11.3 Test-case description
11.4 Example of comparison exercise
References
12 Test-case No 12: Filling of a cubic mould by a viscous jet (PN, PE)
12.1 Practical significance and interest of the test-case
12.2 Definitions and physical model description
12.3 Test-case description
12.4 Figures, tables, captions and references
References
13 Test-case No 13: Shock tubes (PA)
13.1 Introduction
13.2 The mathematical model and the solution of the corresponding Riemann Problem
13.3 The shock tube
References
14 Test-case No 14: Poiseuille two-phase flow (PA)
14.1 Practical significance and interest of the test-case
14.2 Definitions and physical model description
14.3 Test-case description
References
15 Test-case No 15: Phase inversion in a closed box (PC)
15.1 Practical significance and interest of the test-case
15.2 Definitions and physical model description
15.3 Test-case description
15.4 Illustrations of the problem
References
16 Test-Case No 16: Impact of a drop on a thin film of the same liquid (PE, PA)
16.1 Practical significance and interest of the test case
16.2 Definitions and physical model description
16.3 Test-case description
References
17 Test-case No 17: Dam-break flows on dry and wet surfaces (PN, PA, PE)
17.1 Practical significance and interest of the test-case
17.2 Definitions and physical model description
17.3 Test-case description
References
18 Test-case No 19: Shock-Bubble interaction (PN)
18.1 Introduction
18.2 Description
References
19 Test-case No 21: Gas bubble bursting at a free surface, with jet formation (PN-PE)
19.1 Practical significance and interest of the test-case
19.2 Definitions and physical model description
19.3 Test-case description
References
20 Test-case No 22: Axisymmetric body emerging through a free surface(PE)
20.1 Practical significance and interest of the test-case
20.2 Experimental setup description
20.3 Test-case description
References
21 Test-case No 23: Relative trajectories and collision of two drops in a simple shear flow (PA)
21.1 Practical significance and interest of the benchmark
21.2 Definitions and physical model description
21.3 The description of the benchmark
21.4 Conclusion
References
22 Test-case No 24: Growth of a small bubble immersed in a superheated liquid and its collapse in a subcooled liquid (PE, PA)
22.1 Practical significance and interest of the test-case
22.2 Model and assumptions
22.3 Bubble collapse: case 24-1 (PA)
22.4 Initial stage of the growth of a vapor bubble, case 24-2 (PA)
22.5 Thermally controlled growth of a vapor bubble (24-3)
References
23 Test-case No 26: Droplet impact on hot walls (PA)
23.1 Practical significance and interest of the test-case
23.2 Definitions and physical model description
23.3 Test-case description
23.4 Relevant results for comparison
References
24 Test-case No 27: Interface tracking based on an imposed velocity field in a convergent-divergent channel (PN)
24.1 Practical significance and relevance of the test-case
24.2 Definitions and model description
24.3 Test-case description
References
25 Test-case No 28: The lock-exchange flow (N, PA)
25.1 Practical significance and interest of the test-case
25.2 Definitions and physical model description
25.3 Test-case description
References
26 Test-case No 29a: The velocity and shape of 2D long bubbles in inclined channels or in vertical tubes (PA, PN) Part I : in a stagnant liquid
26.1 Practical significance and interest of the test-case
26.2 Definitions and model description
26.3 Motion in horizontal channel
26.4 Motion in inclined channel
26.5 Motion in vertical channel and in tube
26.6 Acknowledgements
References
27 Test-case No 29b: The velocity and shape of 2D long bubbles in inclined channels or in vertical tubes (PA, PN) Part II: in a flowing liquid
27.1 Practical significance and interest of the test-case
27.2 Definitions and model description
27.3 Motion in horizontal and inclined channel
27.4 Motion in vertical channel and in tube
27.5 Acknowledgements
References
28 Test case No 30: Unsteady cavitation in a Venturi type section(PN)
28.1 Practical significance and interest of the test-case
28.2 Definitions and physical model description
28.3 Geometry and boundary conditions
28.4 Comparison with experiments
References
29 Test-case No 31: Reorientation of a Free Liquid Interface in a Partly Filled Right Circular Cylinder upon Gravity Step Reduction (PE)
29.1 Practical significance and interest of the test-case
29.2 Definitions and model description
29.3 Experimental setup and procedure
29.4 Results
29.5 Proposed calculations
References
30 Test-case No 33: Propagation of solitary waves in constant depths over horizontal beds (PA, PN, PE)
30.1 Practical significance and interest of the test-case
30.2 Definitions and model description
30.3 A series of three test-cases
30.4 Summary of the required calculations for propagations of solitary waves
References
31 Test-case No 34: Two-dimensional sloshing in cavity - an exact solution (PA)
31.1 Practical significance and interest of the test-case
31.2 Definitions and physical model description
31.3 Test-case description
References
32 Test-case No 35: Flow rate limitation in open capillary channels (PE)
32.1 Practical significance and interest of the test case
32.2 Definitions and model description
32.3 The Experimental Test Case
32.4 Results
References
33 Test-case No 36: Kelvin-Helmholtz instability (PA)
33.1 Practical significance and interest of the test-case
33.2 Experiment description
33.3 Inviscid linear analysis
33.4 Experimental results to be predicted by the simulation
References
Index