水波盪漾之數值模擬

本文主要以數值方法模擬水槽中，自由水面受重力及邊壁作用產生之盪漾現象。爲掌握自由水面不規則移動邊界之變化，採用動格網方式配合之邊界閉合座標法，並將不規則物理平面轉換成規則之計算平面座標進行求解。對於二維動量及連續方程式之求解，採用非交錯格網系統以有限差分法離散控制方程式，並以交替拉格蘭吉－尤拉運動描述法來模擬自由水面之波傳現象。本文利用潰壩流場模擬做爲模式之驗證，進而模擬水槽水波之盪漾以探討其水面流動現象。

關鍵字

波傳；邊界閉合座標；自由水面流動；水波盪漾

並列摘要

The wave propagation on free surface caused by the gravity and wall reflection in channels was simulated. In order to obtain movable boundaries on the free surface, the techniques of the moving grids and boundary-fitted coordinate system presented by Thompson were adopted. The solutions were obtained by transforming the irregular physical domain into the regular computational domain. The governing equations of the two-dimensional momentum and continuity equations were solved simultaneously by using the finite difference scheme on non staggered grids. The arbitrary Lagrangian-Eulerian (ALE) kinematic description was applied in the procedure of calculation. The numerical model was verified by experimental data of wave propagation due to a dam failure. As a result, the model was used to simulate and analyse the wave propagation of seiche in channels.

並列關鍵字

Wave propagation ； Boundary fitted coordinate ； Free surface flow ； Seiche

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