Note on the Use of Momentum Interpolation Method for Unsteady Flows

Choi, Seok-Ki

doi:10.1080/104077899274679

Cited by 90 publications

(61 citation statements)

References 1 publication

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“…proposed by Majumdar (1988) and Choi (1999), respectively, are obtained in the same spirit. The first one prevents the dependence of u e on the under-relaxation factor α u in the converged solution, while the second one diminishes the dependence of u e on the time-step size.…”

Section: Additional Correctionsmentioning

confidence: 78%

“…One should keep in mind that the obtained rules are valid when both the Rhie-Chow and Gu's correction are used. Together with the corrections of Choi (1999) and Yu et al (2002), they approach the calculations on collocated grids to those on staggered grids. It is shown that the proposed discretization of the body force field is more appropriate than the standard one when dealing with abruptly variable body force fields.…”

Section: Discussionmentioning

confidence: 99%

“…The established method for the coupling enhancement is the employment of the momentum interpolation scheme of Rhie & Chow (1983). This scheme together with additional important corrections (Choi, 1999;Gu, 1991;Majumdar, 1988) is described below.…”

Section: Staggered Versus Collocated Gridsmentioning

confidence: 99%

See 2 more Smart Citations

An Alternative Finite Volume Discretization of Body Force Field on Collocated Grid

Mencinger¹

2012

Finite Volume Method - Powerful Means of Engineering Design

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Section: Additional Correctionsmentioning

confidence: 78%

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

An Alternative Finite Volume Discretization of Body Force Field on Collocated Grid

Mencinger¹

2012

Finite Volume Method - Powerful Means of Engineering Design

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“…Another undesirable feature of the original Rhie-Chow interpolation is that the converged steady state cell-face mass flux calculated using Eq. (19) depends on the time step size [30,32,33]. This issue has manifested itself in our study through the consistency violation of the numerical method for small time steps.…”

Section: Discretisation Of the Mathematical Modelmentioning

confidence: 98%

“…Here we came across a limitation of the original Rhie and Chow interpolation connected with the application of very small time steps (due to semi-implicit treatment of surface tension forces). It is known that the original Rhie and Chow interpolation is time step size dependent and that it could fail to prevent the appearance of a checkerboard pressure field if a very small time step size is used [29][30][31][32][33]. Yu et al [33] proposed a remedy for this problem on a fixed mesh and we have extended their solution, obtaining time step size independent Rhie and Chow interpolation on a moving mesh.…”

Section: Introductionmentioning

confidence: 99%

A moving mesh finite volume interface tracking method for surface tension dominated interfacial fluid flow

2012

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a b s t r a c tThis paper describes a moving mesh interface tracking method implemented in OpenFOAM for simulating three-dimensional (3-D) incompressible and immiscible two-phase interfacial fluid flows with dominant surface tension forces. Collocated finite volume (FV) method is used for spatial discretisation of Navier-Stokes equations on moving polyhedral mesh. The mesh consists of two parts separated on interface. Fluid flow is solved on each mesh separately and coupling is accomplished in an iterative manner by enforcing the kinematic and dynamic condition at the interface. Surface tension force is calculated on arbitrary polygonal surface mesh with second order accuracy using a ''force-conservative'' approach. Arbitrary polyhedral mesh adapts to the time-varying shape of the interface using vertex-based automatic mesh motion solver which calculates the motion of internal points based on the prescribed motion of interface points by solving the variable diffusivity Laplace equation discretised using the finite element method. The overall solution procedure based on iterative PISO algorithm with modified Rhie-Chow interpolation is second-order accurate in space and time, as is confirmed by numerical experiments on small amplitude sloshing in a two-dimensional (2-D) tank, 3-D droplet oscillation and buoyant rise of a 3-D air bubble in water. Numerical results are found to be in excellent agreement with available theoretical and experimental results.

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A coupled finite volume method for the solution of flow processes on complex geometries

McBride

Croft

Cross

2006

Numerical Methods in Fluids

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SUMMARYCFD modelling of 'real-life' thermo-fluid processes often requires solutions in complex three-dimensional geometries, which can result in meshes containing aspects that are badly distorted. Cell-centred finite volume methods (CC-FV), typical of most commercial CFD tools, are computationally efficient, but can lead to convergence problems on meshes that feature cells with highly non-orthogonal shapes. The control volume-finite element method (CVFE) uses a vertex-based approach and handles distorted meshes with relative ease, but is computationally expensive. A combined vertex-based-cell-centre technique (CFVM), detailed in this paper, allows solutions on distorted meshes where purely cell-centred solutions procedures fail. The method utilizes the ability of the vertex-based approach to resolve the flow field on a distorted mesh, enabling well established cell-centred physical models to be employed in the solution of other transported quantities. The vertex-based flow code is verified against a manufactured 3D solution and error norms are compared on meshes with various degrees of distortion. The CFVM method is validated with benchmark solutions for thermally driven flow and turbulent flow. Finally, the method is illustrated on three-dimensional turbulent flow over an aircraft wing on a distorted mesh where purely cell-centred techniques fail. The CFVM is relatively straightforward to embed within generic CC based CFD tools allowing it to be employed in a wide variety of processing applications.

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Note on the Use of Momentum Interpolation Method for Unsteady Flows

Cited by 90 publications

References 1 publication

An Alternative Finite Volume Discretization of Body Force Field on Collocated Grid

An Alternative Finite Volume Discretization of Body Force Field on Collocated Grid

A moving mesh finite volume interface tracking method for surface tension dominated interfacial fluid flow

A coupled finite volume method for the solution of flow processes on complex geometries

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