A novel interface method for two-dimensional multiphase SPH: Interface detection and surface tension formulation

Zheng, Bo Xue; Sun, Lei

doi:10.1016/j.jcp.2021.110119

Cited by 24 publications

(7 citation statements)

References 52 publications

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“…The flowchart of the present ISPH-FVM coupling method is shown in Figure 3. Firstly, the particle's density and viscosity, and the surface tension calculated by ISPH method are projected to the FVM grids by Equation (29). And then the flow field of problem domain is solved by FVM.…”

Section: Flowchart Of the Isph-fvm Coupling Methodsmentioning

confidence: 99%

“…And then the flow field of problem domain is solved by FVM. Next, the flow field information (velocity, pressure and so forth) is extrapolated to SPH particles through Equation (29). The positions of SPH particles can be modified by mixed pressure Poisson function and XSPH.…”

Section: Flowchart Of the Isph-fvm Coupling Methodsmentioning

confidence: 99%

“…[25][26][27] In addition, the smoothed particle hydrodynamics (SPH) method has also been extended to investigate complex fluid problems such as two-phase flow. [28][29][30][31][32][33][34] Typical existing studies are as follows. Chen et al 28 developed an improved SPH multiphase model based on the assumption of pressure continuity on the interface.…”

Section: Introductionmentioning

confidence: 99%

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An incompressible smoothed particle hydrodynamics‐finite volume method coupling algorithm for interface tracking of two‐phase fluid flows

Yang

2022

Numerical Methods in Fluids

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Two‐phase flow involves complex interface evolution process such as the formation, development, pulsation, and rupture of phase interfaces. Numerical simulation is one of the important means to study two‐phase flow. The tracking and reconstruction of phase interface is the focus of two‐phase flow simulation. A two‐phase flow simulation algorithm based on coupled incompressible smoothed particle hydrodynamics (ISPH) method and finite volume method (FVM) is developed in this article. In present ISPH‐FVM coupling algorithm, one phase which has smaller volume is represented by SPH particles, while the other phase is defined on the FVM grids. The coupling of ISPH and FVM is achieved through the transfer and interaction of physical parameters at the overlapping area of the SPH particles and FVM grids. The continuous medium surface force model is also introduced into the ISPH‐FVM coupling algorithm to study the effect of surface tension on the two‐phase flow. Several numerical examples of two‐phase flow are adopted to verify the effectiveness of the ISPH‐FVM coupling method.

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Section: Flowchart Of the Isph-fvm Coupling Methodsmentioning

confidence: 99%

Section: Flowchart Of the Isph-fvm Coupling Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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An incompressible smoothed particle hydrodynamics‐finite volume method coupling algorithm for interface tracking of two‐phase fluid flows

Yang

2022

Numerical Methods in Fluids

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“…In many aspects of the SPH method, such as the implementation of boundary conditions [7,8], particle shifting technology (PST) [9,10], and continuum surface force (CSF) model [11,12], it is important to know exactly which particles belong to the free surface. Generally, two methods can be applied to detect free-surface particles: the kernel and geometrical methods [12][13][14][15][16][17][18][19][20][21][22]. In the kernel method, the sum of the kernel function or its gradients over the neighboring particles is used to detect free-surface particles [14,15].…”

Section: Introductionmentioning

confidence: 99%

High-accuracy three-dimensional surface detection in smoothed particle hydrodynamics for free-surface flows

Liu¹,

Ma²,

Jian-Zhen³

et al. 2022

Preprint

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In this study, we investigate high-accuracy three-dimensional surface detection in smoothed particle hydrodynamics for free-surface flows. A new geometrical method is first developed to enhance the accuracy of free-surface particle detection in complex flows. This method detects free-surface particles via continuous global scanning inside the sphere of a particle through a cone region whose vertex corresponds to the particle position. The particle is identified as a free-surface particle if there exists a cone region with no neighboring particles. Next, an efficient semi-geometrical method is proposed based on the geometrical method to reduce the computational cost. It consists of finding particles near the free surface via position divergence and then detecting these particles using the geometrical method to identify free-surface particles. The accuracy and robustness of the proposed method are demonstrated by performing tests on several model problems.

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“…As an alternative, the meshless, fully Lagrangian smoothed particle hydrodynamics (SPH) [8,9] method has shown peculiar advantages in handling multiphysics problems [10,11] thanks to its very feature of representing each subsystem by an ensemble of particles. Since its original inception by Lucy [8] and Gingold and Monaghan [9] for astrophysical applications, the SPH method has been successfully applied in a broad variety of applications ranging from fluid mechanics [12,13,14,15] and solid dynamics [16,17,18,19,20] to multi-phase flows [21,22,23] and FSI [24,25,26,27]. More recently, Zhang et al [1] developed an integrative SPH method for cardiac function and demonstrated its robust and accuracy in dealing with the following aspects : (i) correct capturing of the stiff dynamics of the transmembrane potential and the gating variables, (ii) robust predicting of the large deformations and the strongly anisotropic behavior of the myocardium, (iii) proper coupling of the electrical excitation and the tissue mechanics for electromechanical feedback.…”

Section: Introductionmentioning

confidence: 99%

A multi-order smoothed particle hydrodynamics method for cardiac electromechanics with the Purkinje network

Zhang¹,

Gao²,

Hu³

2021

Preprint

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In previous work, [1] developed an integrated smoothed particle hydrodynamics (SPH) method to address the simulation of the principle aspects of cardiac function, including electrophysiology, passive and active mechanical response of the myocardium. As the inclusion of the Purkinje network in electrocardiology is recognized as fundamental to accurately describing the electrical activation in the right and left ventricles, in this paper, we present a multi-order SPH method to handle the electrical propagation through the Purkinje system and in the myocardium with monodomain/monodomain coupling strategy. We first propose an efficient algorithm for network generation on arbitrarily complex surface by exploiting level-set geometry representation and cell-linked list neighbor search algorithm. Then, a reduced-order SPH method is developed to solve the one-dimensional monodomain equation to characterize the fast electrical activation through the Purkinje network. Finally, a multiorder coupling paradigm is introduced to capture the coupled nature of potential propagation arising from the interaction between the network system and the myocardium. A set of numerical examples are studied to assess the computational performance, accuracy and versatility of the proposed methods. In

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A novel interface method for two-dimensional multiphase SPH: Interface detection and surface tension formulation

Cited by 24 publications

References 52 publications

An incompressible smoothed particle hydrodynamics‐finite volume method coupling algorithm for interface tracking of two‐phase fluid flows

An incompressible smoothed particle hydrodynamics‐finite volume method coupling algorithm for interface tracking of two‐phase fluid flows

High-accuracy three-dimensional surface detection in smoothed particle hydrodynamics for free-surface flows

A multi-order smoothed particle hydrodynamics method for cardiac electromechanics with the Purkinje network

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