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A remedy for numerical oscillations in weakly compressible smoothed particle hydrodynamics

Fatehi, R ; Sharif University of Technology | 2011

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  1. Type of Document: Article
  2. DOI: 10.1002/fld.2406
  3. Publisher: 2011
  4. Abstract:
  5. Weakly Compressible Smoothed Particle Hydrodynamics (WCSPH) can lead to non-physical oscillations in the pressure and density fields when simulating incompressible flow problems. This in turn may result in tensile instability and sometimes divergence. In this paper, it is shown that this difficulty originates from the specific form of spatial discretization used for the pressure term when solving the mass conservation equation. After describing the pressure-velocity decoupling problem associated with the so-called colocated grid methods, a modified approach is presented that overcomes this problem using a different discretization scheme for the second derivative of pressure. The modified scheme is employed for solving a number of benchmark problems including both single-phase and two-phase test cases
  6. Keywords:
  7. Pressure decoupling ; Smoothed particle hydrodynamics (SPH) ; Weakly compressible ; Bench-mark problems ; Co-located ; Colocated grid ; Decoupling problems ; Density fields ; Discretization scheme ; Mass conservation equations ; Modified scheme ; Numerical oscillation ; Pressure-velocity ; Second derivatives ; Spatial discretizations ; Tensile instabilities ; Test case ; Error analysis ; Hydrodynamics ; Navier Stokes equations ; Incompressible flow
  8. Source: International Journal for Numerical Methods in Fluids ; Volume 67, Issue 9 , September , 2011 , Pages 1100-1114 ; 02712091 (ISSN)
  9. URL: http://onlinelibrary.wiley.com/doi/10.1002/fld.2406/abstract;jsessionid=4BDFFBF59B3BD9EFF54B6AED5F1F3DF7.f04t03