A CONTINUUM METHOD FOR MODELING SURFACE-TENSION
A CONTINUUM METHOD FOR MODELING SURFACE-TENSION
复制标题
DOI：
10.1016/0021-9991(92)90240-y
复制
发表时间：
1992-06-01
影响因子：
4.1
通讯作者：
ZEMACH, C
中科院分区：
文献类型：
--
作者：
BRACKBILL, JU;KOTHE, DB;ZEMACH, C
提出了一种模拟表面张力对流体运动影响的新方法。不同性质或“颜色”的流体之间的界面被表示为有限厚度的过渡区域，颜色变量连续变化。在过渡区域中的每个点处，力密度被定义为与该点处的恒定颜色的表面的曲率成比例。它是归一化的，使传统的界面上的表面张力的描述恢复时，局部过渡区厚度的局部曲率半径的比率接近零。连续介质方法消除了对界面重建的需要，简化了表面张力的计算，使得能够对由表面力驱动的二维和三维流体流动进行精确建模，并且不对具有表面张力的流体界面的数量、复杂性或动态演化施加任何建模限制。二维流动的计算结果来说明该方法的性能。
A new method for modeling surface tension effects on fluid motion has been developed. Interfaces between fluids of different properties, or “colors,” are represented as transition regions of finite thickness, across which the color variable varies continuously. At each point in the transition region, a force density is defined which is proportional to the curvature of the surface of constant color at that point. It is normalized so that the conventional description of surface tension on an interface is recovered when the ratio of local transition region thickness to local radius of curvature approaches zero. The continuum method eliminates the need for interface reconstruction, simplifies the calculation of surface tension, enables accurate modeling of two- and three-dimensional fluid flows driven by surface forces, and does not impose any modeling restrictions on the number, complexity, or dynamic evolution of fluid interfaces having surface tension. Computational results for two-dimensional flows are given to illustrate the properties of the method.