A novel Cartesian cut cell solver for incompressible viscous flow in irregular domains

Luo, Xiao-Tao; Lei, Kangbin; Gu, Zhaolin; Wang, S.; Kase, Kiwamu

doi:10.1002/fld.2347

Cited by 2 publications

(6 citation statements)

References 27 publications

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“…In V-Flow software [12] , a novel method is proposed to treat minuscule cut cells without the process of cell merging. A collocated finite volume method is employed to discretize the Navier-Stokes equations.…”

Section: V-cad Framework-based Flow Solversmentioning

confidence: 99%

“…Through the V-CAD system, the meshes for fluid dynamics calculation can be generated quickly and automatically. Up to now, two flow solvers named as V-Flow and V-DSMC, which are based on V-CAD Framework, have been developed by the Luo et al [12] and Wang et al [13] respectively. V-Flow is to solve Navier-Stokes equations for an incompressible viscous flow and heat transfer problems with arbitrary geometries using unstructured grid method.…”

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confidence: 99%

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Viscous micropump simulation by particle/continuum methods

Wang

Luo

Lei

et al. 2011

J. Shanghai Jiaotong Univ. (Sci.)

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A novel viscous micropump consisting of a cylindrical rotor eccentrically placed inside a microchannel is simulated by the two Volume-CAD (V-CAD) framework-based flow solvers, i.e., the direct simulation Monte Carlo (DSMC) package (named as V-DSMC) and the Navier-Stoke solver (named as V-Flow). V-DSMC is used in the case of the pump applied to gas, while V-Flow is applied to model the pump in the case of liquid working medium. The pumping performance curves under different liquid media with the variation of Reynolds number, as well as under different eccentricity factors are obtained. The performance and the flow filed characteristics are very sensitive to the tangential momentum accommodation coefficient in the case of gas medium. Three recirculations exist in the flow field, and the sizes of recirculation are different at the different operating points in a performance curve.A significant challenge that must be overcome to enable scientific and industrial applications of MEMS and NEMS (micro/nano-electro-mechanical systems) and LOC (lab-on-a-chip) technologies, the latter being an idea for miniaturized instrumentation and control systems, is the transport and pumping of small quantities of fluids. At the macroscale continuous mechanical pumps (i.e., excluding positive-displacement pumps) are based on conventional centrifugal impellers, but these conventional methods do not work at small scales for which the Reynolds number is very small, even less than unit, since centrifugal forces are negligible at this range. However, at small length scales a novel pump known as the viscous pump has been developed by Sen et al [1] . It is suited for hauling various fluids in microducts from gas to liquid. The simplicity in the design of the viscous pump is its major attractive feature for MEMS, NEMS and LOC applications. The viscous pump consists of a transverse-axial rotor eccentrically placed in a channel, so that the viscous resistance between the small and large gaps as well as between the cylinder and the channel walls generates a net flow along the channel. Several numerical investigations appear in Refs. [2][3][4][5][6][7][8][9]. These studies in general model the viscous micropump using continuum assumption-based Navier-Stokes equations. In the case of liquid, the molecular length scale is small, and the continuum model may be still valid [10] . However, for a gas at the micro or nano scale, the rarefaction effect, the surface dominant effect and the compressibility effect may become significant, thus the flow solver must be able to accurately reflect the unique properties at this scale and the Navier-Stokes equations may not be available any more.The Volume-CAD (V-CAD) system as feature of Kitta Cube [11] can act as the platform for storing and handling both of the geometry data and volume data by representing them as attributes of a set of cells. The generated Cartesian background grids offer an efficient and elegant way of modeling complicated surface that cannot be described analytically. Through the V-CAD system...

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Section: V-cad Framework-based Flow Solversmentioning

confidence: 99%

mentioning

confidence: 99%

Viscous micropump simulation by particle/continuum methods

Wang

Luo

Lei

et al. 2011

J. Shanghai Jiaotong Univ. (Sci.)

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“…Briefly, solid bodies are cut out of a background Cartesian mesh and their boundaries are represented by different types of cut cells. The Cartesian cut cell method has been gaining popularity in the simulations of viscous and inviscid flows because of its automation and ability to decompose arbitrarily complex geometries . In the Cartesian cut cell method, the detailed description of geometry is usually provided by a computer‐aided design (CAD) software.…”

Section: Introductionmentioning

confidence: 99%

“…The Cartesian cut cell method has been gaining popularity in the simulations of viscous and inviscid flows because of its automation and ability to decompose 1940 X. L. LUO ET AL. arbitrarily complex geometries [2][3][4][5][6][7][8][9][10][11]. In the Cartesian cut cell method, the detailed description of geometry is usually provided by a computer-aided design (CAD) software.…”

Section: Introductionmentioning

confidence: 99%

“…Tu and Ruffin categorized the cut cells into 12 subtypes and applied this cut cell method to the chemically reacting flow. Luo et al simplified the cut cells into six types and subdivided each pentagon into two quadrilaterals, such that only triangles and quadrilaterals existed in their cut cell method. A few three‐dimension applications of the Cartesian cut cell method have also been reported.…”

Section: Introductionmentioning

confidence: 99%

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A three‐dimensional Cartesian cut cell method for incompressible viscous flow with irregular domains

Luo

Lei

et al. 2011

Numerical Methods in Fluids

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SUMMARY A three‐dimensional Cartesion cut cell method is presented for the simulations of incompressible viscous flows with irregular domains. A new model (referred to as ‘6+N’ model) is proposed to describe arbitrarily shaped cut cells and treat all the cells as polyhedrons with 6+N faces. The finite volume discretization of the Navier–Stokes equation is then implemented by using the ‘6+N’ model to separate the surface flux integrals into two parts, that is, the fluxes through the basic face of the hexahedron and those through the cutting surfaces. The previously proposed Kitta Cube algorithm and volume computer‐aided design platform (J. Comput. Aided. Des. 2005; 37(4): 1509–1520. Doi:10.1016/j.cad.2005.03.006) are adopted to generate cut cells and provide shape data and physical attributes for the numerical analysis. A modified SIMPLE‐based smoothing pressure correction scheme is applied to suppress checkerboard pressure oscillations caused by the collocated arrangement of velocities and pressure. The calculation accuracy of the numerical method expressed by L1 and L ∞ norm errors is first demonstrated by the simulation of a pipe flow. Then its feasibility, efficiency, and potential in engineering applications are verified by applying it to solve natural convections between concentric spheres and between eccentric spheres. The heat transfer patterns in eccentric spheres are also obtained by using the numerical method. Copyright © 2011 John Wiley & Sons, Ltd.

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A novel Cartesian cut cell solver for incompressible viscous flow in irregular domains

Cited by 2 publications

References 27 publications

Viscous micropump simulation by particle/continuum methods

Viscous micropump simulation by particle/continuum methods

A three‐dimensional Cartesian cut cell method for incompressible viscous flow with irregular domains

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