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首页> 外文期刊>Journal of Computational Physics >Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces
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Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces

机译:具有移动弹性界面的斯托克斯流的局部校正半拉格朗日方法

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摘要

We present a new method for computing two-dimensional Stokes flow with moving interfaces that respond elastically to stretching. The interface is moved by semi-Lagrangian contouring: a distance function is introduced on a tree of cells near the interface, transported by a semi-Lagrangian time step and then used to contour the new interface. The velocity field in a periodic box is calculated as a potential integral resulting from interfacial and body forces, using a technique based on Ewald summation with analytically derived local corrections. The interfacial stretching is found from a surprisingly natural formula. A test problem with an exact solution is constructed and used to verify the speed, accuracy and robustness of the approach. (C) 2007 Elsevier Inc. All rights reserved.
机译:我们提出了一种新的计算二维Stokes流的方法,该方法具有可动态响应拉伸的运动界面。界面通过半拉格朗日轮廓移动:在距离界面近的一棵树上引入距离函数,通过半拉格朗日时间步长进行传输,然后用于对新界面进行轮廓化。使用基于Ewald求和与分析得出的局部校正的技术,将周期盒中的速度场计算为由界面力和体力产生的潜在积分。从令人惊讶的天然配方中发现界面拉伸。构建具有精确解决方案的测试问题,并将其用于验证该方法的速度,准确性和鲁棒性。 (C)2007 Elsevier Inc.保留所有权利。

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