中文标题#
自適應網格加密在液滴模擬中的誤差估計
英文标题#
Error Estimation for Adaptive Mesh Refinement in Droplet Simulations
中文摘要#
我們提出一個由剪切力驅動的一維液滴形成模型，該模型採用基於通量的誤差估計。 所提出的模型通過漸近展開和前緣追蹤方法推導出來，用於模擬液滴界面。 然後使用混合形式的伽辽金有限元方法對該模型進行離散化。 然而，由於高度對流的斷裂過程，解梯度的跳躍是不連續的，並且可能增長得更快。 這會導致錯誤的液滴界面和不正確的曲率。 因此，必須對網格進行充分細化以準確捕捉界面。 控制方程的混合形式自然提供了平滑的界面梯度，可用於計算誤差估計。 計算得到的誤差估計隨後被用來驅動自適應網格細化算法。
英文摘要#
We present a one-dimensional shear force driven droplet formation model with a flux-based error estimation. The presented model is derived using asymptotic expansion and a front-tracking method to simulate the droplet interface. The model is then discretized using the Galerkin finite element method in the mixed form. However, the jumps in the solution gradients are discontinuous and can grow faster due to the highly convective pinch-off process. This leads to an erroneous droplet interface and incorrect curvature. Therefore, the mesh must be sufficiently refined to capture the interface accurately. The mixed form of the governing equation naturally provides smooth interface gradients that can be used to compute the error estimate. The computed error estimate is then used to drive the adaptive mesh refinement algorithm.
文章页面#
PDF 獲取#
抖音掃碼查看更多精彩內容