An Interface-Capturing Method for Free-Surface Flows in a Flow Channel Consisting of Solid Obstacles

Dhar, Abhinav; Shimada, Naoki; Hayashi, Kosuke; Tomiyama, Akio

doi:10.1252/jcej.13we165

Cited by 2 publications

(1 citation statement)

References 19 publications

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“…Another variant of this type is that proposed by Kajishima et al (2001). Both approaches have been applied to complicated fluid boundaries in chemical engineering problems including, e.g., porous membrane (Ishigami et al, 2013), tubes in flow channel (Dhar et al, 2014), resistance correlations of sphere arrays (Kuwagi et al, 2012) and woven meshes (Yoshida et al, 2015), and mobile solid particles (Deen et al, 2012).…”

Section: Introductionmentioning

confidence: 99%

Immersed Boundary Method with Artificial Density in Pressure Equation for Modeling Flows Confined by Wall Boundaries

Sun

Sakai

2017

J. Chem. Eng. Japan / JCEJ

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The immersed boundary (IB) method is a promising technique for the numerical simulation of complex microchannel ows. However, numerical tests revealed a loss of wall impermeability for certain ow cases leading to unphysical results when using a standard IB method. To solve this problem, we propose a novel arti cial density technique incorporated in the pressure solution for IB methods. The pressure equation is modi ed by scaled density coe cients in IB domains, which re ects the e ect the boundary screening. The proposed model is as simple and e cient as the original IB method, and it can eliminate the spurious velocity penetration. Numerical results are shown to justify this method. Its application to a branched microchannel is also presented in the last part of this study.

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