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Zbl 0889.76066
Morris, Joseph P.; Fox, Patrick J.; Zhu, Yi
Modeling low Reynolds number incompressible flows using SPH. (English)
[J] J. Comput. Phys. 136, No.1, 214-226 (1997). ISSN 0021-9991

Summary: The method of smoothed particle hydrodynamics (SPH) is extended to model incompressible flows at low Reynolds number. Treatment of viscosity, state equation, kernel interpolation, and boundary conditions are described. Simulations using the method show close agreement with series solutions for Couette and Poiseuille flows. Furthermore, comparison with finite element solutions for flow past a regular lattice of cylinders shows close agreement for the velocity and pressure fields.

MSC 2000:: *76M25 Other numerical methods
76D99 Incompressible viscous fluids

Keywords: flow past regular lattice of cylinders; Couette flow; Poiseuille flow; viscosity; state equation; kernel interpolation; boundary conditions

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