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Development of a Numerical Methodology Based on the Immersed Boundary Method for Simulation of Incompressible Viscous Flow in the Presence of Rigid Bodies with Periodically Moving Boundaries

2020
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Release : 2020
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Book Synopsis Development of a Numerical Methodology Based on the Immersed Boundary Method for Simulation of Incompressible Viscous Flow in the Presence of Rigid Bodies with Periodically Moving Boundaries by : Rafi Sela

Download or read book Development of a Numerical Methodology Based on the Immersed Boundary Method for Simulation of Incompressible Viscous Flow in the Presence of Rigid Bodies with Periodically Moving Boundaries written by Rafi Sela. This book was released on 2020. Available in PDF, EPUB and Kindle. Book excerpt: An extended immersed boundary (IB) methodology utilizing a semi-implicit direct forcing approach was formulated for the simulation of incompressible flows in the presence of periodically moving immersed bodies. The methodology utilizes a Schur complement approach to enforce the kinematic constraints of no-slip for immersed surfaces. The methodology is split into an "embarrassingly" parallel pre-computing stage and a time integration stage, both of which take advantage of the general parallel file system (GPFS) for efficient writing and reading of large amounts of data.

A High-order Immersed-boundary Method for Simulation of Incompressible Flows

2014 Electronic dissertations
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Release : 2014
Genre : Electronic dissertations
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Book Synopsis A High-order Immersed-boundary Method for Simulation of Incompressible Flows by : Chi Zhu

Download or read book A High-order Immersed-boundary Method for Simulation of Incompressible Flows written by Chi Zhu. This book was released on 2014. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Simulation of Incompressible Viscous Flow

2022-09-20 Mathematics
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Release : 2022-09-20
Genre : Mathematics
Kind : eBook
Book Rating : 056/5 ( reviews)

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Book Synopsis Numerical Simulation of Incompressible Viscous Flow by : Roland Glowinski

Download or read book Numerical Simulation of Incompressible Viscous Flow written by Roland Glowinski. This book was released on 2022-09-20. Available in PDF, EPUB and Kindle. Book excerpt: This book on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to apply operator splitting techniques to decouple complicated computational fluid dynamics problems into a sequence of relatively simpler sub-problems at each time step, such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid. Efficient and robust numerical methods for solving those resulting simpler sub-problems are introduced and discussed. Interesting computational results are presented to show the capability of methodologies addressed in the book.

Particulate Flows

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 090/5 ( reviews)

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Book Synopsis Particulate Flows by : Donald A. Drew

Download or read book Particulate Flows written by Donald A. Drew. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications PARTICULATE FLOWS: PROCESSING AND RHEOLOGY is based on the proceedings of a very successful one-week workshop with the same title, which was an integral part of the 1995-1996 IMA program on "Mathematical Methods in Materials Science." We would like to thank Donald A. Drew, Daniel D. Joseph, and Stephen L. Passman for their excellent work as organizers of the meeting. We also take this opportunity to thank the National Science Foun dation (NSF), the Army Research Office (ARO) and the Office of Naval Research (ONR), whose financial support made the workshop possible. A vner Friedman Robert Gulliver v PREFACE The workshop on Particulate Flows: Processing and Rheology was held January 8-12, 1996 at the Institute for Mathematics and its Applications on the University of Minnesota Twin Cities campus as part of the 1995- 96 Program on Mathematical Methods in Materials Science. There were about forty participants, and some lively discussions, in spite of the fact that bad weather on the east coast kept some participants from attending, and caused scheduling changes throughout the workshop. Heterogeneous materials can behave strangely, even in simple flow sit uations. For example, a mixture of solid particles in a liquid can exhibit behavior that seems solid-like or fluid-like, and attempting to measure the "viscosity" of such a mixture leads to contradictions and "unrepeatable" experiments. Even so, such materials are commonly used in manufacturing and processing.

Development of an Immersed Boundary Method for the Simulation of Moving Bodies at Fluid-fluid Interfaces

2019
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Release : 2019
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Book Synopsis Development of an Immersed Boundary Method for the Simulation of Moving Bodies at Fluid-fluid Interfaces by : Adam Robert O'Brien

Download or read book Development of an Immersed Boundary Method for the Simulation of Moving Bodies at Fluid-fluid Interfaces written by Adam Robert O'Brien. This book was released on 2019. Available in PDF, EPUB and Kindle. Book excerpt: Particles interacting with interfaces in multiphase flows appear in many scenarios of industrial interest, including bitumen extraction, mineral recovery via froth flotation, soil remediation, and many others. This thesis presents the development of Immersed Boundary Methods (IBMs) coupled to a two-phase incompressible flow solver. The phases are treated as immiscible, and are modelled using the Volume-of-Fluid (VOF) method. The methods developed to include the effects of surface tension and contact lines are presented. A detailed description of the numerical methods, as well as their implementation into a new software framework, are presented. Details regarding the solution of the resulting large systems of sparse equations in parallel are briefly described. The accuracy of the proposed models are demonstrated in three chapters; test cases range from validation of the correct contact angle for droplets sitting on curved surfaces, to more complex Fluid-Structure Interaction (FSI) problems involving moving objects at fluid-fluid interfaces. Stationary IBMs were coupled with a VOF multiphase solver, with the effects of surface tension included via the Continuum Surface Force (CSF) method. The domain was separated into fluid and solid regions, with coupling between them achieved through a ghost-cell interpolation procedure, which in effect prescribed the desired boundary conditions for the velocity and pressure fields. A new method was developed to include the effects of contact angle/wetting for moving boundary problems. For these problems, a unified momentum equation for both the fluid and solid phases was solved, and the effect of the boundary was introduced into the momentum equation via a body force term. Solutions to FSI problems involving strong capillary forces are presented and compared to experiments. Finally, an application of the proposed numerical methods to simulating porous media injection is shown. The algorithm's ability to predict an interface's transition between stable displacement, viscous fingering and capillary fingering is demonstrated.

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