自動線形化機能を実装した土中の物質移動シミュレーションコードの開発

概要

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This paper describes the simulation code which solves the non-linear convective dispersive equation (CDE) using implicit method with automatically linearization. Water, solute and heat are main transports in soil and each transport is expressed by non-linear CDE respectively. Each transport has been often segregated, but there are some coupled models which include interaction between transfers. And the soil analysis using such coupled model is required. The difficulty to get sufficient accuracy is known that the problem for transport in soil. The separation of the constructed model and accuracy is needed for the construction and evaluation of a new model. For the improvement of the model, repeat of small modification and validation are needed. And in the problem of accuracy, the implicit method is desired for the stable solution of non-linear partial different equation. But the formulation requires enormous amount of work more than explicit scheme. We have to cut down the labor of any formulation for the frequent construction and simulation. The almost all the work for the formulation is linearization. The reduction of its cost facilitates the development of simulation code. In this paper, the method of automatic linearization is proposed and the simulation code is implemented using this method.
日本シミュレーション学会の論文
2008-03-15