Improving stability of MPS method by a computational scheme based on conceptual particles

Xiao, Chen; Xi, Guang; Sun, Zhongguo

doi:10.1016/j.cma.2014.05.023

Cited by 52 publications

(40 citation statements)

References 22 publications

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“…For the free‐surface boundary, the virtual particle method that is proved effective in enhancing accuracy is adopted. In this method, virtual particles with zero pressure are supplemented outside free surface, and thus, the pressure of free‐surface particles is solved from a modified PPE.…”

Section: Methodsmentioning

confidence: 99%

An accurate and stable multiphase moving particle semi‐implicit method based on a corrective matrix for all particle interaction models

Duan

Koshizuka

Yamaji

et al. 2018

Numerical Meth Engineering

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Summary The Lagrangian moving particle semi‐implicit (MPS) method has potential to simulate free‐surface and multiphase flows. However, the chaotic distribution of particles can decrease accuracy and reliability in the conventional MPS method. In this study, a new Laplacian model is proposed by removing the errors associated with first‐order partial derivatives based on a corrected matrix. Therefore, a corrective matrix is applied to all the MPS discretization models to enhance computational accuracy. Then, the developed corrected models are coupled into our previous multiphase MPS methods. Separate stabilizing strategies are developed for internal and free‐surface particles. Specifically, particle shifting is applied to internal particles. Meanwhile, a conservative pressure gradient model and a modified optimized particle shifting scheme are applied to free‐surface particles to produce the required adjustments in surface normal and tangent directions, respectively. The simulations of a multifluid pressure oscillation flow and a bubble rising flow demonstrate the accuracy improvements of the corrective matrix. The elliptical drop deformation demonstrates the stability/accuracy improvement of the present stabilizing strategies at free surface. Finally, a turbulent multiphase flow with complicated interface fragmentation and coalescence is simulated to demonstrate the capability of the developed method.

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Section: Methodsmentioning

confidence: 99%

An accurate and stable multiphase moving particle semi‐implicit method based on a corrective matrix for all particle interaction models

Duan

Koshizuka

Yamaji

et al. 2018

Numerical Meth Engineering

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“…The physical parameters of water used here are ρ = 988kg/m 3 and ν = 1.03 × 10 À 6 m 2 /s. Furthermore, the pressure distribution is smoothed, and no flecky pressure distribution is identified, which is common in previous methods because of particle clustering and the misrecognition of surface particles [14]. (9).…”

Section: Dam-break Testmentioning

confidence: 99%

“…Despite these improvements, because the mass or volume conservation of the particle size conversion procedure is not thoroughly discussed in OPT, the total mass conservation of the algorithm needs to be studied and guaranteed. Recently, Chen et al [14] developed an MPS scheme that requires no surface detection (NSD-MPS). Therefore, Tanaka et al [9] introduced a multi-resolution MPS method, which uses different effective radii for particles with different sizes.…”

Section: Introductionmentioning

confidence: 99%

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Improved MPS method with variable‐size particles

Chen

Sun

Liu

et al. 2015

Numerical Methods in Fluids

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Summary Using variable‐size particles in the moving particle semi‐implicit method (MPS) could lead to inaccurate predictions and/or numerical instability. In this paper, a variable‐size particle moving particle semi‐implicit method (VSP‐MPS) scheme is proposed for the MPS method to achieve more reliable simulations with variable‐size particles. To improve stability and accuracy, a new gradient model is developed based on a previously developed MPS scheme that requires no surface detection MPS. The dynamic particle coalescing and splitting algorithm is revised to achieve dynamic multi‐resolution. A cubic spline function with additional function is employed as the kernel function. The effectiveness of the VSP‐MPS method is demonstrated by three verification examples, that is, a hydrostatic pressure problem, a complicated free surface flow problem with large deformation, and a dynamic impact problem. The new VSP‐MPS scheme with variable‐size particles is found to have balanced efficiency and accuracy that is suitable for simulating large systems with complex flow patterns. Copyright © 2015 John Wiley & Sons, Ltd.

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“…Furthermore, Tamai and Koshizuka [26] proposed a least square MPS method, in which accuracy and stability are remarkably enhanced. Recently, conceptual or virtual particles [36][37][38] were applied to improve the free surface detection scheme and avoid instabilities caused by negative pressure. Particle redistribution schemes [39,40] similar to arbitrary Lagrangian-Eulerian formulations were also developed to remarkably improve the stability and accuracy of particle methods.…”

Section: Introductionmentioning

confidence: 99%