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A numerical study on level set based multiphase flow simulation
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.advisor | 강명주 | - |
| dc.contributor.author | 이병준 | - |
| dc.date.accessioned | 2017-07-14T00:41:53Z | - |
| dc.date.available | 2017-07-14T00:41:53Z | - |
| dc.date.issued | 2015-08 | - |
| dc.identifier.other | 000000067189 | - |
| dc.identifier.uri | https://hdl.handle.net/10371/121300 | - |
| dc.description | 학위논문 (박사)-- 서울대학교 대학원 : 수리과학부, 2015. 8. 강명주. | - |
| dc.description.abstract | This thesis concerns numerical methods for simulating multiphase flow using level set method. The motion of multiphase flow can be expressed as the
incompressible Navier-Stokes equation. First, we survey numerical methods that can approximately solve the governing equations. Also, we introduce level set method for describing interface of fluid and show how to combine level set method with the Navier-Stokes equations. Finally, we show numerical simulation by core-annular flow in horizontal pipe problem. | - |
| dc.description.tableofcontents | Abstract i
1 Introduction 1 2 Mathematical Formulation of Fluid Motion 3 2.1 Governing Equations . . . . . . . . . . . . . . . . . . . . . 3 2.1.1 The Equation of Motion - Navier-Stokes Equa- tions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.1.2 Dimensionless Form of Navier-Stokes Equations 4 2.2 Level Set Method . . . . . . . . . . . . . . . . . . . . . . . 5 3 Numerical Methods 7 3.1 The Projection Method . . . . . . . . . . . . . . . . . . . . 7 3.2 Advection Term . . . . . . . . . . . . . . . . . . . . . . . . 9 3.2.1 ENO/WENO Approximation - For Spatial Dis- cretization . . . . . . . . . . . . . . . . . . . . . . . . 9 3.2.2 TVD Runge Kutta Scheme - For Time Discretiza- tion . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.2.3 Semi-Lagrangian/BDF mixed Scheme . . . . . . . 17 3.3 Projection Term . . . . . . . . . . . . . . . . . . . . . . . . 18 3.3.1 Poisson's Equation . . . . . . . . . . . . . . . . . . . 18 3.3.2 Variable Coecient Poisson's Equation with Jump Condition: Surface Tension Eect Considered . . 19 3.3.3 Preconditioned Conjugate Gradient Method . . 21 3.4 Viscosity Term . . . . . . . . . . . . . . . . . . . . . . . . . 26 ii CONTENTS 3.4.1 Semi-Implicit Viscosity Solver . . . . . . . . . . . 27 3.5 Boundary Conditions . . . . . . . . . . . . . . . . . . . . . 28 3.5.1 Advection/Viscous Terms . . . . . . . . . . . . . . 28 3.5.2 Projection Term . . . . . . . . . . . . . . . . . . . . 30 3.6 Reinitialization . . . . . . . . . . . . . . . . . . . . . . . . . 31 3.7 CFL Condition . . . . . . . . . . . . . . . . . . . . . . . . . 33 4 Numerical experiments 35 4.1 Two-Phase Core-Annular Flow in Crude Oil Trans- portation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 4.1.1 Parameters for Equations . . . . . . . . . . . . . . 36 4.1.2 Up ow Case for Validation . . . . . . . . . . . . . 37 4.1.3 Horizontal Flow with Gravity Eect . . . . . . . . 38 4.1.4 Time for Computing . . . . . . . . . . . . . . . . . 44 5 Conclusion 49 Abstract (in Korean) 53 Acknowledgement (in Korean) 54 | - |
| dc.format | application/pdf | - |
| dc.format.extent | 3612082 bytes | - |
| dc.format.medium | application/pdf | - |
| dc.language.iso | en | - |
| dc.publisher | 서울대학교 대학원 | - |
| dc.subject | Level set Method | - |
| dc.subject | Multiphase Flow | - |
| dc.subject | Incompressible Navier-Stokes Equations | - |
| dc.subject.ddc | 510 | - |
| dc.title | A numerical study on level set based multiphase flow simulation | - |
| dc.type | Thesis | - |
| dc.description.degree | Doctor | - |
| dc.citation.pages | 52 | - |
| dc.contributor.affiliation | 자연과학대학 수리과학부 | - |
| dc.date.awarded | 2015-08 | - |
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