A corrected particle method with high-order Taylor expansion for solving the viscoelastic fluid flow

作者：Jiang, T.^*; Ren, J. L.^*; Lu, W. G.; Xu, B.

来源：Acta Mechanica Sinica, 2017, 33(1): 20-39.

DOI：10.1007/s10409-016-0619-6

• Smoothed particle hydrodynamics
• High-order Taylor expansion
• Viscoelastic fluid
• Extended pom-pom model

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.

• 出版日期2017-2
• 单位西北工业大学; 扬州大学