有限要素法による開水路ネットワークの背水解析

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タイトル別名
  • FINITE ELEMENT SOLUTIONS OF BACKWATER PROFILES IN OPEN CHANNEL NETWORKS
  • ユウゲン ヨウソホウ ニ ヨル カイスイロ ネットワーク ノ ハイスイ カイセ

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A highly versatile and efficient numerical model for computing the steady-state backwater profiles in interconnected open channel networks is developed by a combined use of the finite element methed and the Newton-Raphson method. The gradually varied flow equations in differential forms are directly cast into the algebraic finite element equations by the standard Galerkin procedure. The nonlinear element equations as well as the exterior and interior boundary conditions are adapted into a linearized recurrence form in order to render them amenable to the Newton-Raphson scheme. The emphasis is made that, ensuring solution convergency in iterative procedures, the model can successfully be started from the relaxed hydrodynamically cold situation. For verification checks, a few applications of the model are made for the problems for which the differently founded solutionsare available. The solutions obtained, for a complex network, are in close agreement with those of the finite difference model. Also, it is found that the finite element solutions can be more rapidly converged to the correct ones, after only five or six iterations, when compared with the finite difference solutions.

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