Instability of SPH applied to Poiseuille flow

Song B, Pazouki A, Pöschel T (2015)

Publication Language: English

Publication Type: Journal article

Publication year: 2015


Publisher: Elsevier


Weakly compressible smoothed particle hydrodynamics (WCSPH) has been widely applied to flows with free surfaces, multi-phase flow and systems with complex boundary geometry. It is known, however, that WCSPH suffers from transverse instability when applied to simple wall-bounded shear flows such as Poiseuille and Couette flows at moderate and high Reynolds number, Re & 1, casting the application of WCSPH to practical situations into doubt, where the Reynolds number is frequently large. Here, we consider Poiseuille flow for a wide range of Reynolds number and find that the instability of WCSPH can be avoided by using appropriate ratio of smoothing length to particle spacing in combination with a density re-initialization technique. We also probe the source of the instability and point out the limitations of WCSPH for wall-bounded shear flows at high Reynolds number.

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Song, B., Pazouki, A., & Pöschel, T. (2015). Instability of SPH applied to Poiseuille flow. Journal of Computational Physics.


Song, Baofang, Arman Pazouki, and Thorsten Pöschel. "Instability of SPH applied to Poiseuille flow." Journal of Computational Physics (2015).

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