Loading...

An incompressible SPH method for simulation of unsteady viscoelastic free-surface flows

Rafiee, A ; Sharif University of Technology | 2007

228 Viewed
  1. Type of Document: Article
  2. DOI: 10.1016/j.ijnonlinmec.2007.09.006
  3. Publisher: 2007
  4. Abstract:
  5. In this paper, an incompressible smoothed particle hydrodynamics (SPH) method is presented to solve unsteady free-surface flows. Both Newtonian and viscoelastic fluids are considered. In the case of viscoelastic fluids, both the Maxwell and Oldroyd-B models are investigated. The proposed SPH method uses a Poisson pressure equation to satisfy the incompressibility constraints. The solution algorithm is an explicit predictor-corrector scheme and employs an adaptive smoothing length based on density variations. To alleviate the numerical difficulties encountered when fluid is highly stretched, an artificial stress term is incorporated into the momentum equation which reduces the risk of unrealistic fractures in the material. Two challenging test cases, the impacting drop and the jet buckling problems, are solved to demonstrate the capability of the proposed scheme in handling viscoelastic flows with complex free surfaces. The jet buckling test case was solved for a wide range of Weissenberg numbers. It was shown that in all cases the method is stable and fairly accurate and agrees well with the available data. © 2007 Elsevier Ltd. All rights reserved
  6. Keywords:
  7. Computer simulation ; Hydrodynamics ; Poisson equation ; Unsteady flow ; Viscoelasticity ; Artificial stress ; Free surface ; Poisson pressure equations ; Smoothed particle hydrodynamics (SPH) ; Viscoelastic fluids ; Newtonian liquids
  8. Source: International Journal of Non-Linear Mechanics ; Volume 42, Issue 10 , 2007 , Pages 1210-1223 ; 00207462 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/pii/S0020746207001862