Three-dimensional MLS-based numerical manifold method for static and dynamic analysis

Liu, Feng; Zhang, Kaiyu; Liu, Zhijun

doi:10.1016/j.enganabound.2019.09.014

Cited by 20 publications

(2 citation statements)

References 70 publications

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“…The meshless methods, particularly the particle-based category, have recently received increased attention from researchers studying the mixing process [39][40][41][42]. Various types of meshless approaches, such as Moving Least Square (MLS) [43,44], particle methods [45], local radial basis function collocation method [46,47], and many others, can be found in Ref. [48].…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Mixing Fluid with Ferrofluid in a Magnetic Field Using the Meshless SPH Method

Abdolahzadeh

Tayebi

Ahmadinejad

et al. 2022

Fluids

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In this study, a numerical investigation of the effect of different magnetic fields on ferrofluid-fluid mixing processes in a two-dimensional microchannel is performed An improved version of smoothed particle hydrodynamics, SPH, by shifting particle algorithm and dummy particle boundary condition, is implemented to solve numerical continuity, ferrohydrodynamics-based momentum and mass transfer equations. SPH is formulated through the irregular arrangement of the nodes where the fields are approximated using the fifth-order Wendland kernel function. After validating the computational approach, the influence of the number (from one to three) of parallel electrical wires positioned perpendicular to the microchannel on the mixing efficiency is studied for the first time. It has originally been found that the mixing efficiency highly non-linearly depends on the Reynolds number and the number of electrical wires. For Re ≤20, the mixing efficiency is almost the same for two and three electrical wires and about two times higher than one electrical wire. For Re ≥ 80, the mixing efficiency of three wires is much higher than one and two electrical wires. Optimum performance of the micromixer is achieved with three electrical wires, since the mixer performs well on a broader range of Re than the other two studied cases. The outcomes of this study, obtained by a meshless method, are important for the industrial design of micromixers.

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Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Mixing Fluid with Ferrofluid in a Magnetic Field Using the Meshless SPH Method

Abdolahzadeh

Tayebi

Ahmadinejad

et al. 2022

Fluids

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“…Through the construction of tailored local approximate functions, the essential boundary condition and material interface continuity can be imposed exactly (Zheng et al, 2017). The MLS-based NMM for seepage analysis (Zheng et al, 2015b) and 3D static and dynamic analyses of the continuous elastic body (Liu et al, 2019) have also been presented.…”

Section: Introductionmentioning

confidence: 99%

MLS-Based Numerical Manifold Method for Modeling the Cracked Rock Considering the Contact of the Crack Surface

Zheng

et al. 2022

Front. Earth Sci.

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To simulate the moving boundary problems, the moving least square–based numerical manifold method, abbreviated as MLS-based NMM, was proposed. The MLS-based NMM has been applied successfully to open crack problems, which exhibits the high accuracy and strong robustness. In this study, we extend the MLS-based NMM to simulate the cracked rock considering the contact of the crack surface. Simultaneously, in order to simulate the progressive failure of the cracked rock, an improved strength-based criterion is proposed. The criterion is based on the Mohr–Coulomb criterion and maximum tensile stress criterion. Because rock can be regarded as a quasi-brittle material, a characteristic distance is used to calculate the crack tip stress and correct the crack propagation direction which avoids the phenomenon of “Zig-zag” for the crack propagation path based on the fracture mechanics criterion. The proposed strength-based criterion can acquire the crack tip stress and propagation direction and also realize the automatic determination of the crack propagation length in each step of the crack growth. A Brazilian disc problem and a rectangular plate problem are adopted to verify the numerical model. At last, the numerical model is applied to study the progressive failure process of the rock slope. The results indicate that the proposed method can deal with the crack propagation in the rock and the opening/sliding of rock blocks along discontinuities in a natural way.

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Three-dimensional numerical manifold method for heat conduction problems with a simplex integral on the boundary

Tong,

Yi,

Tan

et al. 2023

Sci. China Technol. Sci.

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Three-dimensional MLS-based numerical manifold method for static and dynamic analysis

Cited by 20 publications

References 70 publications

Numerical Simulation of Mixing Fluid with Ferrofluid in a Magnetic Field Using the Meshless SPH Method

Numerical Simulation of Mixing Fluid with Ferrofluid in a Magnetic Field Using the Meshless SPH Method

MLS-Based Numerical Manifold Method for Modeling the Cracked Rock Considering the Contact of the Crack Surface

Three-dimensional numerical manifold method for heat conduction problems with a simplex integral on the boundary

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