Computation of incompressible flows with immersed bodies by a simple ghost cell method

Pan, Dartzi; Shen, Tzung Tza

doi:10.1002/fld.1942

Cited by 42 publications

(17 citation statements)

References 19 publications

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“…However, in the diffuse interface method the same is accomplished indirectly by solving a set of integral equations [22] everywhere in the domain. This set of global equations obtained by time-integrating the volume-averaged Eqs.…”

Section: Diffuse Interface Methodsmentioning

confidence: 99%

A diffuse interface immersed boundary method for convective heat and fluid flow

2016

International Journal of Heat and Mass Transfer

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Section: Diffuse Interface Methodsmentioning

confidence: 99%

A diffuse interface immersed boundary method for convective heat and fluid flow

2016

International Journal of Heat and Mass Transfer

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“…Examples of the continuous forcing class include volume penalizing [1] and feedback forcing methods [12] that set the additional forcing term to be proportional to the flow velocity. An example of the discreteforcing class of IB approaches is the ghost-cell method [31,46] where the computational (discretized) domain is partitioned into physical and ghost-cell sub-domains. The physical sub-domain contains only computational cells associated with the fluid, whereas computational cells that reside within the solid domain and have at least one neighboring cell in the fluid phase form the ghost-cell sub-domain.…”

Section: Methodsmentioning

confidence: 99%

Direct numerical simulation of fully saturated flow in natural porous media at the pore scale: a comparison of three computational systems

et al. 2015

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Direct numerical simulations of flow through two millimeter-scale rock samples of limestone and sandstone are performed using three diverse fluid dynamic simulators. The resulting steady-state velocity fields are compared in terms of the associated empirical probability density functions (PDFs) and key statistics of the velocity fields. The pore space geometry of each sample is imaged at 5.06-mu m voxel size resolution using X-ray microtomography. The samples offer contrasting characteristics in terms of total connected porosity (about 0.31 for the limestone and 0.07 for the sandstone) and are typical of several applications in hydrogeology and petroleum engineering. The three-dimensional fluid velocity fields within the explicit pore spaces are simulated using ANSYSA (R) FLUENTA (R) ANSYS Inc. (2009), EULAG Prusa et al. (Comput. Fluids 37, 1193-1207 2008), and SSTOKES Sarkar et al. (2002). These computational approaches are highly disperse in terms of algorithmic complexity, differ in terms of their governing equations, the adopted numerical methodologies, the enforcement of internal no-slip boundary conditions at the fluid-solid interface, and the computational mesh structure. As metrics of comparison to probe in a statistical sense the internal similarities/differences across sample populations of velocities obtained through the computational systems, we consider (i) integral quantities, such as the Darcy flux and (ii) main statistical moments of local velocity distributions including local correlations between velocity fields. Comparison of simulation results indicates that mutually consistent estimates of the state of flow are obtained in the analyzed samples of natural pore spaces despite the considerable differences associated with the three computational approaches. We note that in the higher porosity limestone sample, the structures of the velocity fields obtained using ANSYS FLUENT and EULAG are more alike than either compared against the results obtained using SSTOKES. In the low-porosity sample, the structures of the velocity fields obtained by EULAG and SSTOKES are more similar than either is to the fields obtained using ANSYS FLUENT. With respect to macroscopic quantities, ANSYS FLUENT and SSTOKES provide similar results in terms of the average vertical velocity for both of the complex microscale geometries considered, while EULAG tends to render the largest velocity values. The influence of the pore space structure on fluid velocity field characteristics is also discussed

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“…It is evident that Eqs. (8) and (9) are fifth-order-accurate on both equally spaced and unequally spaced grids in both L 2 and L 1 norms. The errors evaluated on equally spaced grids are two orders of magnitude smaller than those on the unequally spaced grids.…”

Section: Validation Of Polynomial Reconstruction With Fixed Symmetricmentioning

confidence: 99%

“…In this work, Eq. (17) is inverted by an efficient iterative method of approximate LU factorization [7,8]. When Eq.…”

Section: The 1-d Linear Wave Equation At Constant Wave Speed C Is Wrimentioning

confidence: 99%

See 1 more Smart Citation

A High-Order Piecewise Polynomial Reconstruction for Finite-Volume Methods Solving Convection and Diffusion Equations

Pan

2015

Numerical Heat Transfer, Part B: Fundamentals

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In finite-volume methods for fluid flows, the average of field variables over local mesh cells are the unknowns that are integrated in time based on the integral conservation laws. In order to compute the cell-face fluxes, nodal variables and derivative values at cell faces are needed, which ultimately determine the accuracy of the finite-volume method. In this work, a piecewise fourth-order polynomial reconstruction model based on volume averages is developed for smoothly varying flow fields over finite-volume cells. The obtained polynomial is used to extrapolate the cell-face variables and derivative values with high-order accuracy. The extrapolated cell-face quantities are used directly to compute the convection or diffusion integrals to construct high-order finite-volume methods. Some one-dimensional examples are shown to demonstrate the fifth-order accuracy of the proposed approach when solving the linear convection equation, and the fourth-order solution accuracy when solving the linear diffusion equation.

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Computation of incompressible flows with immersed bodies by a simple ghost cell method

Cited by 42 publications

References 19 publications

A diffuse interface immersed boundary method for convective heat and fluid flow

A diffuse interface immersed boundary method for convective heat and fluid flow

Direct numerical simulation of fully saturated flow in natural porous media at the pore scale: a comparison of three computational systems

A High-Order Piecewise Polynomial Reconstruction for Finite-Volume Methods Solving Convection and Diffusion Equations

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