A remedy for numerical oscillations in weakly compressible smoothed particle hydrodynamics

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...

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Bibliographic Details
Published in:International journal for numerical methods in fluids 2011-11, Vol.67 (9), p.1100-1114
Main Authors: Fatehi, R., Manzari, M. T.
Format: Article
Language:English
Subjects:
colocated
Computational fluid dynamics
Computational methods in fluid dynamics
Decoupling
Density
Discretization
Exact sciences and technology
Fluid dynamics
Fluid flow
Fundamental areas of phenomenology (including applications)
Hydrodynamics
Multiphase and particle-laden flows
Navier-Stokes equations
Nonhomogeneous flows
numerical oscillation
Oscillations
Physics
pressure decoupling
Remedies
smoothed particle hydrodynamics (SPH)
weakly compressible
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Summary: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. Copyright © 2010 John Wiley & Sons, Ltd.
ISSN:0271-2091
1097-0363
1097-0363
DOI:10.1002/fld.2406