A corrected particle method with high-order Taylor expansion for solving the viscoelastic fluid flow
A corrected particle method with high-order Taylor expansion for solving the viscoelastic fluid flow
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DOI：
10.1007/s10409-016-0619-6
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发表时间：
2017-02
影响因子：
3.5
通讯作者：
T. Jiang;J. Ren;W. G. Lu;B. Xu
中科院分区：
文献类型：
--
作者：
T. Jiang;J. Ren;W. G. Lu;B. Xu
本文提出并研究了一种基于高阶泰勒展开的光滑粒子流体力学(SPH)方法(CSPH-HT)求解粘弹性流动的修正粒子法。首先通过求解非线性高阶Kuramoto-Sivishinsky方程和模拟液滴拉伸来验证CSPH-HT方法的有效性和优点。然后，用CSPH-HT方法研究了聚合物熔体在两个静止的切向圆柱体后的流动行为。最后，将CSPH-HT方法推广到粘弹性流体充填过程的数值模拟。数值结果表明，CSPH-HT方法比其他修正的SPH方法具有更高的精度和稳定性，并且比其他修正的SPH方法更可靠。
In this paper, a corrected particle method based on the smoothed particle hydrodynamics (SPH) method with high-order Taylor expansion (CSPH-HT) for solving the viscoelastic flow is proposed and investigated. The validity and merits of the CSPH-HT method are first tested by solving the nonlinear high order Kuramoto-Sivishinsky equation and simulating the drop stretching, respectively. Then the flow behaviors behind two stationary tangential cylinders of polymer melt, which have been received little attention, are investigated by the CSPH-HT method. Finally, the CSPH-HT method is extended to the simulation of the filling process of the viscoelastic fluid. The numerical results show that the CSPH-HT method possesses higher accuracy and stability than other corrected SPH methods and is more reliable than other corrected SPH methods.