SEMINAR: TODAY 10 AM! CSTAMP SPECIAL - Grafton W.H. Hui

[Roland Romeiser <rromeiser@rsmas.miami.edu>]

CSTAMP COLLOQUIUM ON SELECTED TOPICS OF APPLIED MARINE PHYSICS

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SPEAKER
Grafton W.H. Hui
Professor Emeritus, University of Waterloo, Canada, and
Hong Kong University of Science & Technology

TITLE
Computational Fluid Dynamics based on the
Unified Coordinates

DATE
Monday, March 1, 2010

TIME
10:00 am

VENUE
RSMAS Library, Map & Chart Room

Abstract:

Computational Fluid Dynamics (CFD) uses large scale numerical computations to solve problems of fluid flow. Traditionally, it uses either the Eulerian or the Lagrangian coordinate system. These two systems are numerically non-equivalent, but each has its advantages as well as drawbacks. A Unified Coordinate system (UC) has recently been developed which combines the advantages of both Eulerian and Lagrangian systems, while avoiding their drawbacks. This seminar gives a systematic discussion of CFD using the Unified Coordinates.
Specifically, it will be shown that: (1) The governing equations of fluid flow in any moving coordinates can be written as a system of closed conservation PDEs; consequently, the effects of moving mesh on the flow are fully accounted for. (2) The system of Lagrangian gas dynamics equations is written in conservation PDE form for the first time. (3) The Lagrangian gas dynamics equations in 2-D and 3-D are shown to be non-equivalent to the Eulerian ones theoretically. (4) The UC is superior to both Eulerian and Lagrangian systems in that contact discontinuities are resolved sharply without mesh tangling. (5) Additionally, the UC is superior to the Eulerian as it avoids the tedious and time-consuming task of mesh generation; the mesh in UC is automatically generated by the flow. Many examples are given to demonstrate these properties of the UC.

All students are highly encouraged to come to this seminar!

List of all CSTAMP presentations in this semester:
http://www.rsmas.miami.edu/personal/rromeiser/cstamp_s10.pdf

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Roland Romeiser
Associate Professor
Division of Applied Marine Physics
Rosenstiel School of Marine and Atmospheric Science
University of Miami
4600 Rickenbacker Causeway
Miami, Florida 33149-1031 USA

Phone:  +1 305 421 4645
Fax:    +1 305 421 4701
E-Mail: rromeiser@rsmas.miami.edu
WWW:    www.rsmas.miami.edu/divs/amp/People/Faculty/Romeiser/

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