Simulation of open channel network flows using finite element approach

2005 ◽  
Vol 10 (5) ◽  
pp. 467-478 ◽  
Author(s):  
Yi Zhang
Author(s):  
M. H. Hamedi ◽  
M. Ghassemi

This paper presents a finite element method (FEM) for simulating open channel network flows. Using a recursive formula derived from element equations, a relationship for channel junctions is established and a system equation is obtained. The system equation is much smaller in size in comparison with the simultaneous solution approach and its solution provides boundary conditions for single channels. The FEM is applied to solve individual channels, and a double sweep method is employed to save computation time. To demonstrate the potential of the approach, two channel networks were computed. It is shown that the results obtained with the proposed FEM are very close to those given by the widely used Preissmann scheme, indicating that it is an effective method to model flows in open channels.


2007 ◽  
Vol 35 (3) ◽  
pp. 165-182 ◽  
Author(s):  
Maik Brinkmeier ◽  
Udo Nackenhorst ◽  
Heiner Volk

Abstract The sound radiating from rolling tires is the most important source of traffic noise in urban regions. In this contribution a detailed finite element approach for the dynamics of tire/road systems is presented with emphasis on rolling noise prediction. The analysis is split into sequential steps, namely, the nonlinear analysis of the stationary rolling problem within an arbitrary Lagrangian Eulerian framework, and a subsequent analysis of the transient dynamic response due to the excitation caused by road surface roughness. Here, a modal superposition approach is employed using complex eigenvalue analysis. Finally, the sound radiation analysis of the rolling tire/road system is performed.


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