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Numerical Simulation of Transient Viscoelastic Flows Using SPH Method

Jie Ouyang

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Abstract

Smoothed particle hydrodynamics(SPH) method is applied to simulate transient viscoelastic flows.The method for viscoelastic flows is verified by comparing numerical solution with analytical solution of an Oldroyd-B fluid in a start-up Couette flow.An Oldroyd-B fluid in a lid-driven cavity is simulated by the method.In addition,a new treatment of solid wall boundaries is presented to prevent particles penetrating solid walls and improve numerical accuracy.It shows that SPH method is valid and stable in simulation of viscoelastic flows.

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What this paper is about

Smoothed particle hydrodynamics(SPH) method is applied to simulate transient viscoelastic flows.The method for viscoelastic flows is verified by comparing numerical solution with analytical solution of an Oldroyd-B fluid in a start-up Couette flow.An Oldroyd-B fluid in a lid-driven cavity is simulated by the method.In addition,a new treatment of solid wall boundaries is presented to prevent particles penetrating solid walls and improve numerical accuracy.It shows that SPH method is valid and stable in simulation of viscoelastic flows.

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Available abstract

Smoothed particle hydrodynamics(SPH) method is applied to simulate transient viscoelastic flows.The method for viscoelastic flows is verified by comparing numerical solution with analytical solution of an Oldroyd-B fluid in a start-up Couette flow.An Oldroyd-B fluid in a lid-driven cavity is simulated by the method.In addition,a new treatment of solid wall boundaries is presented to prevent particles penetrating solid walls and improve numerical accuracy.It shows that SPH method is valid and stable in simulation of viscoelastic flows.

Key concepts: Smoothed-particle hydrodynamics, Viscoelasticity, Transient (computer programming), Mechanics, Transient flow, Computer simulation, Particle (ecology), Flow (mathematics)

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