A method for incorporating free boundaries with surface tension in finite element fluid‐flow simulators
A method for incorporating free boundaries with surface tension in finite element fluid‐flow simulators
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一种在有限元流体流动模拟器中将自由边界与表面张力相结合的方法
DOI：
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发表时间：
1980
期刊：
影响因子：
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通讯作者：
K. J. Ruschak
中科院分区：
文献类型：
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作者：
K. J. Ruschak
本文发展了一种边界定位法，用于二维牛顿流体自由边界定常流动的有限元模拟。该方法同时确定边界形状和位置以及速度场和压力场。惯性，粘性，重力和表面张力的影响包括在发展。采用改进的波前法结合Newton-Raphson迭代法求解非线性有限元方程组，以加快收敛速度。用于说明该方法的有限元近似的压力作为分段常数函数和速度和自由边界作为分段线性函数。对狭缝流的计算表明，该方法是有效的。
A boundary-location method is developed for finite element simulation of steady, two-dimensional flows of Newtonian liquid with free boundaries. In the method, boundary shape and position and the velocity and pressure fields are determined simultaneously. Inertial, viscous, gravitational, and surface tension effects are included in the development. The complete set of nonlinear finite element equations is solved by a modified frontal method combined with Newton-Raphson iteration to speed convergence. The finite element used to illustrate the method approximates the pressure as a piecewise constant function and the velocity and free boundaries as piecewise linear functions. Example calculations for flow from a slit show that the method can be effective.