Instability of SPH applied to Poiseuille flow

Song B, Pazouki A, Pöschel T (2015)

Publication Language: English

Publication Type: Journal article

Publication year: 2015

Journal

Journal of Computational Physics Elsevier

Publisher: Elsevier

Abstract

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.

Authors with CRIS profile

Baofang Song Lehrstuhl für Multiscale Simulation of Particulate Systems Thorsten Pöschel Lehrstuhl für Multiscale Simulation of Particulate Systems

Involved external institutions

California State University, Los Angeles US United States (USA) (US)

How to cite

APA:

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

MLA:

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

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