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.

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.

scholarly journals Second-Order Symmetric Smoothed Particle Hydrodynamics Method for Transient Heat Conduction Problems with Initial Discontinuity

Processes ◽  
2018 ◽  
Vol 6 (11) ◽  
pp. 215 ◽  
Author(s):  
Zhanjie Song ◽  
Yaxuan Xing ◽  
Qingzhi Hou ◽  
Wenhuan Lu
Keyword(s):  
Heat Conduction ◽  
Convergence Rate ◽  
Smoothed Particle Hydrodynamics ◽  
Transient Heat Conduction ◽  
Second Order ◽  
Order Convergence ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Initial Discontinuity ◽  
Second Order Convergence

To eliminate the numerical oscillations appearing in the first-order symmetric smoothed particle hydrodynamics (FO-SSPH) method for simulating transient heat conduction problems with discontinuous initial distribution, this paper presents a second-order symmetric smoothed particle hydrodynamics (SO-SSPH) method. Numerical properties of both SO-SSPH and FO-SSPH are analyzed, including truncation error, numerical accuracy, convergence rate, and stability. Experimental results show that for transient heat conduction with initial smooth distribution, both FO-SSPH and SO-SSPH can achieve second order convergence rate, which is consistent with the theoretical analysis. However, for one- and two-dimensional conduction with initial discontinuity, the FO-SSPH method suffers from serious unphysical oscillations, which do not disappear over time, and hence it only achieves a first-order convergence rate; while the present SO-SSPH method can avoid unphysical oscillations and has second-order convergence rate. Therefore, the SO-SSPH method is a feasible tool for solving transient heat conduction problems with both smooth and discontinuous distributions, and it is easy to be extended to high dimensional cases.

scholarly journals Tsunami simulation using particle method

2018 ◽  
Vol 195 ◽  
pp. 05013
Author(s):  
Raden Harya Dananjaya
Keyword(s):  
Experimental Data ◽  
Numerical Simulation ◽  
Laboratory Tests ◽  
Particle Method ◽  
Dam Break ◽  
Tsunami Simulation ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Lagrangian Particle Method ◽  
Tsunami Model

Tsunami is a natural disaster that have resulted in dreadful damages over time. Extensive researches have been conducted to scrutinize and counteract the natural hazard using three major research components which are: field monitoring, laboratory tests, and numerical methods. However, laboratory tests are high-priced and arduous. Numerical simulation overcomes these drawbacks and can be utilized in collaboration with laboratory tests. Recently, newly introduced meshless Lagrangian particle method called Smoothed Particle Hydrodynamics (SPH) has gained attention. In this paper, SPH method has been employed to simulate tsunami. A SPH code is developed from scratch. To validate the code, a traditional dam break simulation is conducted. Lastly, a tsunami model is simulated using the developed SPH code and compared with past experimental data. The results indicate that the code is in accordance with previous experimental data and numerical simulation. Whereby, there’s been a slight deviation arises in tsunami simulation. The velocity of the code is relatively less to that of the experimental data. Such inconsistencies could emerge due to a number of reasons, i.e. the choice of the SPH parameters and model simplification. Generally, the developed SPH code had a satisfactory performance to model tsunami and dam-break problem.

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