Enhancing smoothed particle hydrodynamics for shallow water equations on small scales by using the finite particle method

2019 ◽  
Vol 344 ◽  
pp. 360-375 ◽  
Author(s):  
Simon Härdi ◽  
Michael Schreiner ◽  
Uwe Janoske
Keyword(s):  
Shallow Water ◽  
Smoothed Particle Hydrodynamics ◽  
Shallow Water Equations ◽  
Particle Method ◽  
Small Scales ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Finite Particle

scholarly journals Study on Particle Inconsistency Problem in Smoothed Particle Hydrodynamics

2011 ◽  
Vol 94-96 ◽  
pp. 1638-1641 ◽  
Author(s):  
Gui Ming Rong ◽  
Hiroyuki Kisu
Keyword(s):  
Smoothed Particle Hydrodynamics ◽  
Particle Method ◽  
Second Derivative ◽  
Sph Method ◽  
New Approach ◽  
First Derivative ◽  
Numerical Studies ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Finite Particle

In the smoothed particle hydrodynamics (SPH) method, the particle inconsistency problem significantly influences the calculation accuracy. In the present study, we investigate primarily the influence of the particle inconsistency on the first derivative of field functions and discuss the behavior of several methods of addressing this problem. In addition, we propose a new approach by which to compensate for this problem, especially for functions having a non-zero second derivative, that is less computational demanding, as compared to the finite particle method (FPM). A series of numerical studies have been carried out to verify the performance of the new approach.

An Improved Specified Finite Particle Method and Its Application to Transient Heat Conduction

2016 ◽  
Vol 14 (05) ◽  
pp. 1750050 ◽  
Author(s):  
Lu Wang ◽  
Fei Xu ◽  
Yang Yang
Keyword(s):  
Heat Conduction ◽  
Matrix Theory ◽  
Taylor Series Expansion ◽  
Particle Method ◽  
Transient Heat Conduction ◽  
Boundary Region ◽  
The Matrix ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Finite Particle

Compared with the traditional Smoothed Particle Hydrodynamics (SPH), Finite Particle Method (FPM) has higher accuracy for boundary region. However, there are still two inherent defects which are the time consuming and the numerical instability in FPM. In this paper, a high-order algorithm based on the Taylor series expansion and the matrix theory is proposed and the corresponding particles selected mode is discussed. It is validated that the algorithm has higher-order accuracy than the previous low-order improvement algorithm for FPM. Further, transient heat conduction examples have been discussed to verify the feasibility and effectiveness of the new algorithm.

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