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FDM in Cylindrical Coordinate

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Old   November 3, 2001, 04:25
Default FDM in Cylindrical Coordinate
  #1
Piakman
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Anybody ever try Finite Difference Method on Cylindrical Coordinate? or know where can I get information about this?

Piakman
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Old   November 3, 2001, 05:43
Default Re: FDM in Cylindrical Coordinate
  #2
Mukhopadhyay
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'where can I get information about this? ' Books authored by (1) Carnahan, Luther and Wilkes and (2) Patankar
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Old   November 3, 2001, 06:56
Default Re: FDM in Cylindrical Coordinate
  #3
Junseok Kim
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There are a couple of papers about FDM in Cylinderical Coordinates.

"A Finite-Difference Scheme for Three-Dimensional Incompressible Flows in Cyliderical Coordinates" R. Verzicco and P. Orlandi

123, 404-414 (1996)

"Simulation of Viscoelastic Fluids: Couette-Taylor Flow Raz Kupferman Journal of computational physics 147, 22-59 (1998)

Numerical Simulation of Axisymmetric Free Surface Flows M. E. Tome, et at. Journal of computational physics 157, 441-472 (2000)

You may visit my website, recently a couple of simulations has been done and compared with experiments.

http://www.ima.umn.edu/~junkim/jet.htm

Junseok

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Old   November 3, 2001, 09:31
Default Re: FDM in Cylindrical Coordinate
  #4
Jim Park
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For several decades, the T-3 group at Los Alamos (http://t3.lanl.gov/) developed codes that included the cylindrical coordinates option by changing a single parameter from 0 to 1 [0 gives the usual Cartesian coordinate system].

Check their web site.
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Old   November 4, 2001, 20:29
Default Re: FDM in Cylindrical Coordinate
  #5
Jongdae Kim
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"Fluid Flow Phenomena" A Numerical Toolkit

edited by Paolo Orlandi

Ch. 10 Flows in cylindrical coordinates with one wall

Ch. 11 Flows in cylindrical coordinates with two wall

There are source codes. You can also test the example problems of the book.

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Old   November 26, 2001, 06:16
Default Re: FDM in Cylindrical Coordinate
  #6
Emad Khalifa
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I want to order the book

fluid flow phenomena "A numerical Toolkit"

Can you tell me the year of publication and the

publischer ??

Thank You
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Old   November 26, 2001, 06:17
Default Re: FDM in Cylindrical Coordinate
  #7
Emad Khalifa
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I want to order the book

fluid flow phenomena "A numerical Toolkit"

Can you tell me the year of publication and the

publischer ??

Thank You
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Old   November 26, 2001, 06:38
Default Re: FDM in Cylindrical Coordinate
  #8
Emad Khalifa
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I'm using a new Finite difference method by Strikwerda.

The method is 2nd order in space and time and has schon good results with laminar flow test cases. The uses non staggered grid and solves the conti. and momentum eqns. simultaneously with an iterative solver (implicit). ---------------------------------------------

I'm trying to use the scheme to simulate fully developed turbulent pipe flow in cylindrical coordinates.

At the inlet and outlet of the pipe I use periodic boundary and wall boundary at the wall of the pipe. The pressure is calculated with extrapolation at all boundaries. --------------------------------------------- And I have a question concerning the Boundary condition at the middle of the pipe. At the middle of the pipe there exists a singularity because of the finite difference method used. This means I have to implement an artificial boundary condition.

I use Neumann boundary conditions for velocities ( The gradient of velocities perpindicular to this boundary is zero) Does any one have any other suggestion ??

Thank You

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Old   November 26, 2001, 11:14
Default Re: FDM in Cylindrical Coordinate
  #9
Jongdae Kim
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KLUWER ACADEMIC PUBLISHERS

The author's e-mail address is as follows;

orlandi@navier.ing.uniroma1.it

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