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Numerical Methods for Two-phase Incompressible Flows

Numerical Methods for Two-phase Incompressible Flows PDF Author: Sven Gross
Publisher: Springer Science & Business Media
ISBN: 3642196861
Category : Mathematics
Languages : en
Pages : 487

Book Description
This book is the first monograph providing an introduction to and an overview of numerical methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations describing the fluid dynamics are examined in combination with models for mass and surfactant transport. The book pursues a comprehensive approach: important modeling issues are treated, appropriate weak formulations are derived, level set and finite element discretization techniques are analyzed, efficient iterative solvers are investigated, implementational aspects are considered and the results of numerical experiments are presented. The book is aimed at M Sc and PhD students and other researchers in the fields of Numerical Analysis and Computational Engineering Science interested in the numerical treatment of two-phase incompressible flows.

Numerical Methods for Two-phase Incompressible Flows

Numerical Methods for Two-phase Incompressible Flows PDF Author: Sven Gross
Publisher: Springer Science & Business Media
ISBN: 3642196861
Category : Mathematics
Languages : en
Pages : 487

Book Description
This book is the first monograph providing an introduction to and an overview of numerical methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations describing the fluid dynamics are examined in combination with models for mass and surfactant transport. The book pursues a comprehensive approach: important modeling issues are treated, appropriate weak formulations are derived, level set and finite element discretization techniques are analyzed, efficient iterative solvers are investigated, implementational aspects are considered and the results of numerical experiments are presented. The book is aimed at M Sc and PhD students and other researchers in the fields of Numerical Analysis and Computational Engineering Science interested in the numerical treatment of two-phase incompressible flows.

Numerical Methods for Mass Transport Equations in Two-phase Incompressible Flows

Numerical Methods for Mass Transport Equations in Two-phase Incompressible Flows PDF Author: Trung Hieu Nguyen
Publisher:
ISBN:
Category :
Languages : en
Pages : 114

Book Description


Numerical Methods for Three Dimensional Incompressible Two Phase Flow Problems

Numerical Methods for Three Dimensional Incompressible Two Phase Flow Problems PDF Author: Sven Groß
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

Book Description


Numerical Simulations Of Incompressible Flows

Numerical Simulations Of Incompressible Flows PDF Author: Mohamed M Hafez
Publisher: World Scientific
ISBN: 9814486396
Category : Mathematics
Languages : en
Pages : 708

Book Description
This book consists of 37 articles dealing with simulation of incompressible flows and applications in many areas. It covers numerical methods and algorithm developments as well as applications in aeronautics and other areas. It represents the state of the art in the field.

Fundamentals of Numerical Reservoir Simulation

Fundamentals of Numerical Reservoir Simulation PDF Author: D.W. Peaceman
Publisher: Elsevier
ISBN: 0080868606
Category : Technology & Engineering
Languages : en
Pages : 191

Book Description
The use of numerical reservoir simulation with high-speed electronic computers has gained wide acceptance throughout the petroleum industry for making engineering studies of a wide variety of oil and gas reservoirs throughout the world. These reservoir simulators have been designed for use by reservoir engineers who possess little or no background in the numerical mathematics upon which they are based. In spite of the efforts to improve numerical methods to make reservoir simulators as reliable, efficient, and automatic as possible, the user of a simulator is faced with a myriad of decisions that have nothing to do with the problem to be solved. This book combines a review of some basic reservoir mechanics with the derivation of the differential equations that reservoir simulators are designed to solve.

A Numerical Method for the Incompressible Navier-Stokes Equations with Application to Two-phase Flow

A Numerical Method for the Incompressible Navier-Stokes Equations with Application to Two-phase Flow PDF Author: Bo Chen
Publisher:
ISBN:
Category :
Languages : en
Pages : 114

Book Description


Numerical Methods for Two-phase Jet Flow

Numerical Methods for Two-phase Jet Flow PDF Author: Yaohong Wang
Publisher:
ISBN:
Category :
Languages : en
Pages : 110

Book Description
ABSTRACT: Two numerical methods are developed and analyzed for studying two-phase jet flows. The first numerical method solves the eigenvalue problem for the matrix system that is constructed from the pseudo-spectral discretization of the 3D linearized, incompressible, perturbed Navier-Stokes (N-S) equations for two-phase flows. This first numerical method will be denoted as LSA for "linear stability analysis." The second numerical method solves the 3D (nonlinear) N-S equations for incompressible, two-phase flows. The second numerical method will be denoted as DNS for "direct numerical simulation." In this thesis, predictions of jet-stability using the LSA method are compared with the predictions using DNS. Researchers have not previously compared LSA with DNS for the co-flowing two-phase jet problem. Researchers have only recently validated LSA with DNS for the simpler Rayleigh-Capillary stability problem [77] [20] [103] [26]. In this thesis, a DNS method has been developed for cylindrical coordinate systems. Researchers have not previously simulated 3D, two-phase, jet flow, in cylindrical coordinate systems. The numerical predictions for jet flow are compared: (1) LSA with DNS (2) DNS-CLSVOF with DNS-LS, and (3) 3D rectangular with 3D cylindrical. "DNS-CLSVOF" denotes the coupled level set and volume-of-fluid method for computing solutions to incompressible two-phase flows [99]. "DNS-LS" denotes a novel hybrid level set and volume constraint method for simulating incompressible two-phase flows [89]. The following discoveries have been made in this thesis: (1) the DNS-CLSVOF method and the DNS-LS method both converge under grid refinement to the same results for predicting the break-up of a liquid jet before and after break-up; (2) computing jet break-up in 3D cylindrical coordinate systems is more efficient than computing jet breakup in 3D rectangular coordinate systems; and (3) the LSA method agrees with the DNS method for the initial growth of instabilities (comparison method made for classical Rayleigh-Capillary problem and co-flowing jet problem). It is found that for the classical Rayleigh-Capillary stability problem, the LSA prediction differs from the DNS prediction at later times.

Computational Methods for Multiphase Flows in Porous Media

Computational Methods for Multiphase Flows in Porous Media PDF Author: Zhangxin Chen
Publisher: SIAM
ISBN: 0898716063
Category : Computers
Languages : en
Pages : 551

Book Description
This book offers a fundamental and practical introduction to the use of computational methods. A thorough discussion of practical aspects of the subject is presented in a consistent manner, and the level of treatment is rigorous without being unnecessarily abstract. Each chapter ends with bibliographic information and exercises.

A Numerical Method for Two Phase Flow Consisting of Separate Compressible and Incompressible Regions

A Numerical Method for Two Phase Flow Consisting of Separate Compressible and Incompressible Regions PDF Author: Rachel Debra Caiden
Publisher:
ISBN:
Category :
Languages : en
Pages : 132

Book Description


Encyclopedia Of Two-phase Heat Transfer And Flow Iii: Macro And Micro Flow Boiling And Numerical Modeling Fundamentals (A 4-volume Set)

Encyclopedia Of Two-phase Heat Transfer And Flow Iii: Macro And Micro Flow Boiling And Numerical Modeling Fundamentals (A 4-volume Set) PDF Author: John R Thome
Publisher: World Scientific
ISBN: 9813227427
Category : Technology & Engineering
Languages : en
Pages : 1460

Book Description
Set III of this encyclopedia is a new addition to the previous Sets I and II. It contains 26 invited chapters from international specialists on the topics of numerical modeling of two-phase flows and evaporation, fundamentals of evaporation and condensation in microchannels and macrochannels, development and testing of micro two-phase cooling systems for electronics, and various special topics (surface wetting effects, microfin tubes, two-phase flow vibration across tube bundles). The chapters are written both by renowned university researchers and by well-known engineers from leading corporate research laboratories. Numerous 'must read' chapters cover the fundamentals of research and engineering practice on boiling, condensation and two-phase flows, two-phase heat transfer equipment, electronics cooling systems, case studies and so forth. Set III constitutes a 'must have' reference together with Sets I and II for thermal engineering researchers and practitioners.