A corrected particle method with high-order Taylor expansion for solving the viscoelastic fluid flow
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.
KeywordsSmoothed particle hydrodynamics High-order Taylor expansion Viscoelastic fluid Extended pom-pom model
- 15.Ren, J.L., Ouyang, J., Jiang, T.: Simulation of complex filling process based on the generalized Newtonian fluid model using a corrected SPH scheme. Comput. Mech. 49, 643–665 (2012)Google Scholar
- 16.Oishi, C.M., Martins, F.P., Tomé, M.F., et al.: Numerical solution of drop impact and jet buckling problems using the eXtended Pom-Pom model. J. Non-Newton. Fluid Mech. 169–170, 91–103 (2012)Google Scholar
- 25.Liu, A.W.: Viscoelastic flow of polymer solutions around arrays of cylinders: comparison of experiment and theory. [Ph.D. Thesis], Massachusetts Institute of Technology, America (1997)Google Scholar
- 34.Fei, B.L., Zheng, T.H., Yang, J.L.: Numerical simulation of flow over two tandem cylinders. J. Southwest Univ. Natl. Nat. Sci. Ed. 33, 376–380 (2007) (in Chinese)Google Scholar