Modeling low Reynolds number incompressible flows using SPH. (English) Zbl 0889.76066

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.


76M25 Other numerical methods (fluid mechanics) (MSC2010)
76D99 Incompressible viscous fluids
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