Improved SPH methods for simulating free surface flows of viscous fluids

By Jiannong Fang, Aurèle Parriaux, Martin Rentschler, C. Ancey. 2009

172 citations recorded by the source corpus.

In this paper we present two enhanced variants of the smoothed particle hydrodynamics (SPH) method for the numerical simulation of free surface flows of viscous fluids. Improvements are achieved by deriving a new set of general discrete SPH-like equations under an energy-based framework and applying a corrected (high-order) or coupled particle approximation scheme for function derivatives. By doing so, we ensure that the enhanced variants retain the conservative nature of SPH which is important for the stability of long-term simulations. Among various corrected approximations, we here implement the one obtained by the so-called finite particle method (FPM) within the framework to produce a higher-order SPH method which conserves both linear and angular momentums. In order to improve the efficiency of the higher-order variant, a coupled approach with the idea of using the SPH approximation for the interior particles and the FPM approximation for the exterior particles is also proposed and tested in this paper. Three prototype tests concerning free deformation of a viscous fluid patch with free surface are presented with comparisons between different methods to demonstrate the performance of the two proposed methods. Numerical results show that both the higher-order version using FPM and the coupled version using FPM/SPH outperform the original version of SPH in respect of accuracy and stability.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/fee8914733116871b15f03a1166c50ec23b8e81b

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Abbas Khayyer
2. Hitoshi Gotoh
3. Seiichi Koshizuka
4. T. Tamai
5. Yuma Shimizu
6. Yan Zhou
7. S. Yan
8. Q. Ma

In Mechanics of Materials

1. Abbas Khayyer
2. Hitoshi Gotoh
3. T. Tamai
4. Seiichi Koshizuka

Citations in the corpus

• Current achievements and future perspectives for projection-based particle methods with applications in ocean engineering (2016, methodology): “Morris (2000) showed several possible implementations of CSFmodel in SPH, both with and without exact conservation ofmomentum, andhighlighted the challenges in accurate calculations of interface curvature.”
• Enhancement of stability and accuracy of the moving particle semi-implicit method (2011, background): “The initial pressure field is taken as zero everywhere in the domain (similar to [17]).”