Dual-time smoothed particle hydrodynamics for incompressible fluid simulation

•New and novel scheme based on dual-time stepping but applied to the Smoothed Particle Hydrodynamics method.•At least as accurate as the traditional weakly-compressible scheme but anywhere between 3–7.5 times faster.•Robust scheme that works for a variety of problems in two and three dimensions.•For...

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Bibliographic Details
Published in:Computers & fluids 2021-09, Vol.227, p.105031, Article 105031
Main Authors: Ramachandran, Prabhu, Muta, Abhinav, Ramakrishna, M.
Format: Article
Language:English
Subjects:
Compressibility
Computational fluid dynamics
Dual-time stepping
Fluid flow
Fluid mechanics
Incompressible flow
Incompressible fluid flow
Incompressible fluids
Numerical methods
Robustness (mathematics)
Smooth particle hydrodynamics
SPH
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Summary:•New and novel scheme based on dual-time stepping but applied to the Smoothed Particle Hydrodynamics method.•At least as accurate as the traditional weakly-compressible scheme but anywhere between 3–7.5 times faster.•Robust scheme that works for a variety of problems in two and three dimensions.•Formulation general enough to be used with a variety of different SPH discretizations. In this paper we propose a dual-time stepping scheme for the Smoothed Particle Hydrodynamics (SPH) method. Dual-time stepping has been used in the context of other numerical methods for the simulation of incompressible fluid flows. Here we provide a scheme that combines the entropically damped artificial compressibility (EDAC) along with dual-time stepping. The method is accurate, robust, and demonstrates up to seven times better performance than the standard weakly-compressible formulation. We demonstrate several benchmarks showing the applicability of the scheme. In addition, we provide a completely open source implementation and a reproducible manuscript.
ISSN:0045-7930
1879-0747
DOI:10.1016/j.compfluid.2021.105031