有限要素法에 依한 擴散方程式의 數値解析

Abstract

二次元 場에서 鉛直方向으로 積分한 移流擴?ㅫ곤淀弩? 二次의 補間函數를 가지는 六節點 三角形 要素를 使用한 有限要素法에 依하여 解析하였다.

時間積分을 위해서는 內揷(implicit)한 有限差分法인 ?形法則을 사용하였으며 解의 安定性을 위한 經驗的收驗條件을 數値實驗을 통해서 조사하였다. 計算의 信賴度를 檢證하기 위하여 一次元開水路에서의 解析 解와 比較하였으며 一次元 水路의 側面에서 監水가 流入하는 경우의 橫方向 亂流擴散을 究明하기 위한 實驗에 저용하여 數値解와 實驗 값을 比較考察하였다.

Vertically integrated convective-diffusion equation in a two dimensional coordinate system is analyzed by the finite element method using six noded triangular elements with quadratic interpolation functions.

A simple implicit iterative scheme based on the trapezoidal rule is imployed for time integration and empirical convergence criterial required by the iteration procedure are examined by numerical experiments.

The accuracy of the computational scheme is investigated on analytical one dimnsional open channel flow.

the numerical scheme is applied to the laboratory investigation of turbulent diffusion in open channel by means of salt water injection and comparisons with laboratory measurements and discussions are presented.

Vertically integrated convective-diffusion equation in a two dimensional coordinate system is analyzed by the finite element method using six noded triangular elements with quadratic interpolation functions.

A simple implicit iterative scheme based on the trapezoidal rule is imployed for time integration and empirical convergence criterial required by the iteration procedure are examined by numerical experiments.

The accuracy of the computational scheme is investigated on analytical one dimnsional open channel flow.

the numerical scheme is applied to the laboratory investigation of turbulent diffusion in open channel by means of salt water injection and comparisons with laboratory measurements and discussions are presented.