An improved KGF‐SPH with a novel discrete scheme of Laplacian operator for viscous incompressible fluid flows

Huang, Chen; Lei, Juanmian; Liu, Moubin; Peng, Xinyu

doi:10.1002/fld.4191

Cited by 47 publications

(12 citation statements)

References 50 publications

(114 reference statements)

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“…they used numerical method. In another research, Huang et al [9] studied 2-D incompressible fluid-flow of shear cavity. Both in Euler frame and Lagrangian frame, were simulated by SPH, FPM, the original KGF-SPH and improved KGF-SPH.…”

Section: Introductionmentioning

confidence: 99%

Computational fluid simulation of non-Newtonian two-phase fluid flow through a channel with a cavity

Ahmadi

Khosravi

2020

THERM SCI

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In this paper, the numerical solution of non-Newtonian two-phase fluid-flow through a channel with a cavity was studied. Carreau-Yasuda non-Newtonian model which represents well the dependence of stress on shear rate was used and the effect of n index of the model and the effect of input Reynolds on the attribution of flow were considered. Governing equations were discretized using the finite volume method on staggered grid and the form of allocating flow parameters on staggered grid is based on marker and cell method. The QUICK scheme is employed for the convection terms in the momentum equations, also the convection term is discretized by using the hybrid upwind-central scheme. In order to increase the accuracy of making discrete, second order Van Leer accuracy method was used. For mixed solution of velocity-pressure field SIMPLEC algorithm was used and for pressure correction equation iteratively line-by-line TDMA solution procedure and the strongly implicit procedure was used. As the results show, by increasing Reynolds number, the time of sweeping the non-Newtonian fluid inside the cavity decreases, the velocity of Newtonian fluid increases and the pressure decreases. In the second section, by increasing n index, the velocity increases and the volume fraction of non-Newtonian fluid after cavity increases and by increasing velocity, the pressure decreases. Also changes in the velocity, pressure and volume fraction of fluids inside the channel and cavity are more sensible to changing the Reynolds number instead of changing n index.

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Section: Introductionmentioning

confidence: 99%

Computational fluid simulation of non-Newtonian two-phase fluid flow through a channel with a cavity

Ahmadi

Khosravi

2020

THERM SCI

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“…Hirschler et al [14] employed a direct Cahn-Hilliard method with fourth-order derivative approximation based on the SPH formulations. A novel model of Laplacian model called KGF-SPH having higher-order accuracy was introduced based on a matrix equation derived from Taylor series expansion [17]. A new model of Laplacian operator with significant accuracy has been recently proposed which is formulated as a hybrid of ISPH with Taylor expansion and moving least-squares approach [30].…”

Section: Introductionmentioning

confidence: 99%

Accuracy analysis of different Laplacian models of incompressible SPH method improved by using Voronoi diagram

Shobeyri

2020

J Braz. Soc. Mech. Sci. Eng.

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“…The direction and amount of shifting vector are determined from the arrangement of nearby particles. Particle shifting technology has been widely applied in SPH and its evolving methods, such as weakly compressible SPH, incompressible SPH (ISPH), δ‐SPH, δ + ‐SPH, and kernel gradient free SPH . By using Fick's law to control the direction of the shifting vector, Lind et al associated numerical parameters controlling the degree of particle shifting with a given time step and particle resolution.…”

Section: Introductionmentioning

confidence: 99%

Coupled finite particle method with a modified particle shifting technology

Huang

Zhang

Shi

et al. 2017

Numerical Meth Engineering

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Summary The conventional SPH method has been frustrated with the low accuracy originated from the particle inconsistency. The finite particle method (FPM) is an improved SPH method with a higher‐order accuracy. However, the numerical accuracy and stability of FPM depend on the uniformity of particles. Facing the disorder particles, the conventional FPM may suffer from an ill‐conditioned corrective matrix and is difficult to conduct longtime simulations. A popular and robust particle regularization scheme is the so‐called particle shifting technology (PST), which can effectively enhance the accuracy and stability of particle methods. In the context of FPM, PST is analyzed and discussed, and a modified PST (MPST) is proposed. Modified PST saves great amount of computational cost with respect to the conventional PST and acquires better features of accuracy and stability. Finally, the coupled FPM method by combining MPST and δ‐SPH is developed to simulate a series of viscous flows. The numerical results indicate that MPST is effective in improving accuracy, stability, and efficiency of PST, and the coupled FPM is shown to be robust for simulating viscous flows and has a higher accuracy and stability.

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An improved KGF‐SPH with a novel discrete scheme of Laplacian operator for viscous incompressible fluid flows

Cited by 47 publications

References 50 publications

Computational fluid simulation of non-Newtonian two-phase fluid flow through a channel with a cavity

Computational fluid simulation of non-Newtonian two-phase fluid flow through a channel with a cavity

Accuracy analysis of different Laplacian models of incompressible SPH method improved by using Voronoi diagram

Coupled finite particle method with a modified particle shifting technology

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