Paper Profile

A Combined FEM-Ritz Method for Modeling 3D Acoustics in CANDU Fuel Sub-Channels

Documents: Full paper available in Conference Proceedings.
Date: Tuesday October 20
Time:14:40 - 15:05
Session:2B2: Modelling & Simulation III
Authors: David Villero (Ryerson University)
Shudong Yu (Ryerson University)

The modeling and analysis of 3D acoustics in CANDU fuel sub-channels are conducted using a combined FEM-Ritz method to reduce the number of acoustic degrees of freedom for higher computational efficiency. The method uses a prism element by extruding an isoparametric sixnode triangular element along the z-axis and computing the acoustic displacement by combining isoperimetric triangular shape functions and a polynomial shape function of n-th order. Lagrangian mechanics is utilized to assemble the equations of motion and derive all the system’s matrices. The acoustic system consists of a cylindrical pressured pipe with rigid walls filled with fluid. At the inlet, an acoustic wave is generated by a time-harmonic source and, at the outlet, the acoustic wave interacts with a reacting and absorbing material. Numerical results obtained are found to be in excellent agreement with the analytic solution.

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