Monday, 23 August 2010

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 88-358
Full Name: Diana Alina Bistrian
Position: Ph.D. Candidate
Age: ON
Sex: Female
Address: Str. Revolutiei Nr.5, Hunedoara, 331128
Country: ROMANIA
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E-mail address: diana.bistrian@fih.upt.ro
Other E-mails: diaalina@yahoo.com
Title of the Paper: Spectral techniques for solving PDE stability model of vortex rope
Authors as they appear in the Paper: Diana Alina Bistrian
Email addresses of all the authors: diana.bistrian@fih.upt.ro
Number of paper pages: 12
Abstract: In this paper spectral methods are applied to investigate the hydrodynamic instability of swirling flow with application to Francis hydraulic turbine. Spectral methods imply representing the problem solution as truncated series of smooth global functions. An L^2- projection and the collocation methods are developed assessing both analytically methodology and computational techniques using symbolic and numerical conversions. Remarks concerning the efficiency and the accuracy of each method in this case are presented. The model of the trailing vortex is used to validate the numerical algorithms with existing results in the literature. All the results are compared to existing ones and they prove to agree quite well. The advantages of using this methods in flow control problems are pointed out.
Keywords: hydrodynamic instability, swirling flow, projection algorithm, spectral collocation, vortex hydrodynamics, vortex rope
EXTENSION of the file: .pdf
Special (Invited) Session: Non Axysimmetrical Stability Study of Swirling Flows Using a Projection Algorithm
Organizer of the Session: 646-197
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