Coupled finite particle method with a modified particle shifting technology

Huang, Chen; Zhang, D. H.; Shi, Yinuo; L., Y.; Huang, Bolin

doi:10.1002/nme.5608

Cited by 69 publications

(16 citation statements)

References 67 publications

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“…A widely used procedure to overcome irregular particle distribution is particle shifting technology (PST) which involves shifting particles slightly away from their streamlines and correcting their field variables (such as density, velocity, and pressure) according to a first‐order interpolation. The PST includes two steps and is given here according to the descriptions of Huang et al…”

Section: Methodsmentioning

confidence: 99%

“…FPM cannot satisfy the free surface condition naturally and causes incorrect evaluation in the vicinity of free surface. Herein, the particles in the vicinity of free surface are identified by a modified geometry model . Then, these identified free surface particles are approximated by classic SPH model, ie, Equations and .…”

Section: Numerical Examplesmentioning

confidence: 99%

“…Herein, the particles in the vicinity of free surface are identified by a modified geometry model. 23 Then, these identified free surface particles are approximated by classic SPH model, ie, Equations (10) and (11).…”

Section: Standing Wavesmentioning

confidence: 99%

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Coupling finite difference method with finite particle method for modeling viscous incompressible flows

Huang

Long

Liu

2019

Numerical Methods in Fluids

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Summary A hybrid approach to couple finite difference method (FDM) with finite particle method (FPM) (ie, FDM‐FPM) is developed to simulate viscous incompressible flows. FDM is a grid‐based method that is convenient for implementing multiple or adaptive resolutions and is computationally efficient. FPM is an improved smoothed particle hydrodynamics (SPH), which is widely used in modeling fluid flows with free surfaces and complex boundaries. The proposed FDM‐FPM leverages their advantages and is appealing in modeling viscous incompressible flows to balance accuracy and efficiency. In order to exchange the interface information between FDM and FPM for achieving consistency, stability, and convergence, a transition region is created in the particle region to maintain the stability of the interface between two methods. The mass flux algorithm is defined to control the particle creation and deletion. The mass is updated by N‐S equations instead of the interpolation. In order to allow information exchange, an overlapping zone is defined near the interface. The information of overlapping zone is obtained by an FPM‐type interpolation. Taylor‐Green vortices and lid‐driven shear cavity flows are simulated to test the accuracy and the conservation of the FDM‐FPM hybrid approach. The standing waves and flows around NACA airfoils are further simulated to test the ability to deal with free surfaces and complex boundaries. The results show that FDM‐FPM retains not only the high efficiency of FDM with multiple resolutions but also the ability of FPM in modeling free surfaces and complex boundaries.

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Section: Methodsmentioning

confidence: 99%

Section: Numerical Examplesmentioning

confidence: 99%

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Coupling finite difference method with finite particle method for modeling viscous incompressible flows

Huang

Long

Liu

2019

Numerical Methods in Fluids

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“…In some recent research works, a Monaghan‐type artificial stress model is used in the aforementioned PST to obtain a uniform particle distribution and remit the stress instability. In this paper, we only incorporate the Monaghan‐type artificial stress model (without using the PST) into the modified SPH as it is good enough for removing the tensile instability phenomenon and has little influence on the computational accuracy and efficiency.…”

Section: Sph Methodologymentioning

confidence: 99%

Meshfree modeling of a fluid‐particle two‐phase flow with an improved SPH method

Zhang

Walayat

Chang

et al. 2018

Numerical Meth Engineering

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Summary Fluid‐particle two‐phase flows are very complex and quite challenging to numerically simulate due to the complex and constantly moving fluid‐particle interface. Recent developments in meshfree and particle methods provide alternatives in modeling fluid flows with moving boundaries. In this paper, a modified smoothed particle hydrodynamics (SPH) method is developed to simulate particle sedimentation (two‐dimensional) in Newtonian fluids. The modified SPH includes an enhanced particle approximation scheme, an effective solid boundary treatment algorithm, the artificial stress model, and a turbulence model. By decoupling a field variable and its derivatives in a finite particle method, a decoupled finite particle method is presented, which balances accuracy, efficiency, and stability in SPH simulations without the necessity of solving redundant and challenging corrective matrix equations. A coupled dynamic solid boundary treatment is developed to improve the accuracy near the fixed and moving solid boundaries. The artificial stress term is added into the SPH equations of motion to remove the possible tensile instability phenomenon. The large eddy simulation model is incorporated into the SPH to describe the turbulence effects at high Reynolds numbers. Four different particle sedimentation tests are conducted using the modified SPH along with the finite element fictitious boundary method. It is demonstrated that the improved SPH method can achieve much better results than the conventional SPH while showing a good comparison with the results from the finite element fictitious boundary method and from other sources.

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“…Without a fixed mesh system, the particle methods are in principle capable of treating the large deformations such as fluid merging and splitting easily and tracking the free surface (or fluid interface) naturally. These provide benefits in simulating the wave hydrodynamics [21][22][23], wave-structure interaction [24][25][26], multi-phase flow [27] and flow in porous media [28]. The up-to-date developments of particle method technologies can be referred to Gotoh and Khayyer [29] and Ye et al [30].…”

Section: Introductionmentioning

confidence: 99%

Consistent Particle Method simulation of solitary wave impinging on and overtopping a seawall

Luo

Reeve

Shao

et al. 2019

Engineering Analysis with Boundary Elements

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Tsunamis are among the most destructive natural hazards and can cause massive damage to the coastal communities. This paper presents a first numerical study on the tsunami-like solitary wave impinging and overtopping based on the mesh-free Consistent Particle Method (CPM). The distinct feature of CPM is that it computes the spatial derivatives in a way consistent with the Taylor series expansion and hence achieves good numerical consistency and accuracy. This largely alleviates the spurious pressure fluctuation that is a key issue for the particle method. Validated by the benchmark example of solitary wave impact on a seawall, the CPM model is shown to be able to capture the highly deformed breaking wave and the impact pressure associated with wave impinging and overtopping. Using the numerical model, a parametric study of the effect of seawall cross-sectional geometry on the characteristics of wave overtopping is conducted. It is found that a higher water level can lead to much more intensive overtopping volume and kinetic energy of the overtopping flow, which implies that the coastal areas are at higher risk as the sea level rises. For the purpose of engineering interest, a simple and practical way to estimate the intensity of a real tsunami is presented in terms of the volume and energy of the bulge part of the incident wave.

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Coupled finite particle method with a modified particle shifting technology

Cited by 69 publications

References 67 publications

Coupling finite difference method with finite particle method for modeling viscous incompressible flows

Coupling finite difference method with finite particle method for modeling viscous incompressible flows

Meshfree modeling of a fluid‐particle two‐phase flow with an improved SPH method

Consistent Particle Method simulation of solitary wave impinging on and overtopping a seawall

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