Colocated schemes for the incompressible Navier-Stokes equations on non-smooth grids for two-dimensional problems

Moulinec, Charles; Wesseling, Pieter

doi:10.1002/(sici)1097-0363(20000215)32:3<349::aid-fld942>3.0.co;2-l

Cited by 9 publications

(2 citation statements)

References 12 publications

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“…Research on discretisation schemes for polyhedral/distorted meshes (see Figure 1) has been worked on for many years [6,7,8], but has gained more and more attention in the last years [3]. Several methods have been recently revived or developed to be able to fulfil the following requirements, i.e.…”

Section: Introductionmentioning

confidence: 99%

New polyhedral discretisation methods applied to the Richards equation: CDO schemes in Code_Saturne

Bonelle¹,

Fournier²,

Moulinec

2018

Computers & Fluids

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This paper shows an application of a vertex-based Compatible Discrete Operator (CDO) scheme to simulate the Richards equation on meshes using polyhedral cells. Second order spatial accuracy is reached for a verification test case using two meshes made of different types of polyhedral cells. A second validation test case dealing with a variably saturated soil inside a vertical column has been simulated, with three advected passive pollutants being released. Results are in good agreement with the reference for both types of mesh. MPI scalability has also been assessed at scale up to 98,304 cores of a Cray X30 for a 1.7 B cell mesh for the simulation of the aforementioned case, and nearly linear speed-up is observed. Finally the implementation of hybrid MPI-OpenMP has been tested on 2 types of Intel Xeon Phi Knights Landing co-processors, showing that the best configuration for the code is obtained when all the physical cores are filled by MPI tasks and the 4 hyperthreads by OpenMP threads.

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Section: Introductionmentioning

confidence: 99%

New polyhedral discretisation methods applied to the Richards equation: CDO schemes in Code_Saturne

Bonelle¹,

Fournier²,

Moulinec

2018

Computers & Fluids

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“…Peric [11] investigated this effect on distorted meshes and proposed grid refinement and smoothing to reduce the error. Moulinec [12] investigated several different interpolation schemes to improve the derivatives at the cell faces on distorted meshes. Other authors [13,14] proposed different interpolation schemes based on Taylor series expansions.…”

Section: Introductionmentioning

confidence: 99%

A coupled finite volume method for the computational modelling of mould filling in very complex geometries

McBride¹,

Croft²,

Cross³

2008

Computers & Fluids

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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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Colocated schemes for the incompressible Navier-Stokes equations on non-smooth grids for two-dimensional problems

Cited by 9 publications

References 12 publications

New polyhedral discretisation methods applied to the Richards equation: CDO schemes in Code_Saturne

New polyhedral discretisation methods applied to the Richards equation: CDO schemes in Code_Saturne

A coupled finite volume method for the computational modelling of mould filling in very complex geometries

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

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