Title :
Observations on convergence problems of pipeline networks
Author :
Pieper, Ronald J.
Author_Institution :
Dept. of Electr. & Comput. Eng., Naval Postgraduate Sch., Monterey, CA, USA
Abstract :
Presented in the paper will be a brief introduction to methods of solving pipeline networks and the corresponding electrical analogies. Numerically generated data from a pipeline example will support the argument that two-cycle trapping is created by the nonlinearity in the pipeline network model in the transition fluid flow regime. Second the results will demonstrate that averaging between iteration cycles greatly facilitates the objective of reaching a convergent solution. Lastly, data generated from the one dimensional Feigenbaum model which replicate effects similar to the N-dimensional pipeline model will also be presented
Keywords :
convergence; iterative methods; pipe flow; 1D Feigenbaum model; convergence problems; convergent solution; electrical analogies; iteration cycle averaging; multidimensional pipeline model; nonlinearity; pipeline networks; transition fluid flow regime; two-cycle trapping; Convergence; Electric resistance; Fluid flow; Friction; Hydraulic diameter; Large-scale systems; Linearity; Nonlinear equations; Pipelines; Voltage;
Conference_Titel :
System Theory, 1998. Proceedings of the Thirtieth Southeastern Symposium on
Conference_Location :
Morgantown, WV
Print_ISBN :
0-7803-4547-9
DOI :
10.1109/SSST.1998.660016