Applications of unstructured hybrid grid method to high-Reynolds number viscous flows

Nakahashi, Kazuhiro; Sharov, Dmitri; Kano, Shintaro; Kodera, Masatoshi

doi:10.1002/(sici)1097-0363(19990915)31:1<97::aid-fld957>3.0.co;2-d

Cited by 41 publications

(12 citation statements)

References 13 publications

(16 reference statements)

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“…For the MHD equations, analytical evaluation and operation of these matrices are extremely complex procedures [10]. However, these operations can be eliminated by following approximations [12] …”

Section: Formulation Of the Adi-sgs Schemementioning

confidence: 99%

ADI-SGS scheme on ideal magnetohydrodynamics

Nishida

Nonomura

2009

Journal of Computational Physics

106

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Section: Formulation Of the Adi-sgs Schemementioning

confidence: 99%

ADI-SGS scheme on ideal magnetohydrodynamics

Nishida

Nonomura

2009

Journal of Computational Physics

106

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“…The LU scheme was introduced by Jameson [55] and it is extensively used for high-Reynolds number flows on unstructured grids [56][57][58][59][60][61]i nv a r i o u sf o r m u l a t i o n si n c l u d i n gW E N Oa n dS p e c t r a ls c h e m e s . A l t h o u g h ,a l t e r n a t i v e implicit-time stepping methods are introduced for unstructured grids e.g.…”

Section: Time Discretisationmentioning

confidence: 99%

“…Hence, the diagonal elements used in the present study are scalars multiplied by the identity matrix and the off-diagonals are computed according to equation (33). The number of sweeps per Newton iteration is set to 5 in the present study, based on the findings of various approaches using the LU-SGS schemes for similar flow problems [56][57][58][59][60][61]. The source term S is differentiated with respect to the turbulence model variable only, in order to keep the diagonal dominance of the system matrix, and the source term Jacobian is restricted to be positive as suggested by [42], hence…”

Section: Time Discretisationmentioning

confidence: 99%

Assessment of high-order finite volume methods on unstructured meshes for RANS solutions of aeronautical configurations

2017

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This version is available at https://strathprints.strath.ac.uk/59947/ Strathprints is designed to allow users to access the research output of the University of Strathclyde. Unless otherwise explicitly stated on the manuscript, Copyright © and Moral Rights for the papers on this site are retained by the individual authors and/or other copyright owners. Please check the manuscript for details of any other licences that may have been applied. You may not engage in further distribution of the material for any profitmaking activities or any commercial gain. You may freely distribute both the url (https://strathprints.strath.ac.uk/) and the content of this paper for research or private study, educational, or not-for-profit purposes without prior permission or charge.Any correspondence concerning this service should be sent to the Strathprints administrator: strathprints@strath.ac.ukThe Strathprints institutional repository (https://strathprints.strath.ac.uk) is a digital archive of University of Strathclyde research outputs. It has been developed to disseminate open access research outputs, expose data about those outputs, and enable the management and persistent access to Strathclyde's intellectual output. Assessment of High-Order Finite Volume Methods on Unstructured Meshes for RANS Solutions of Aeronautical Configurations.Antonis F. Antoniadis a, * ,P a n a g i o t i sT s o u t s a n i s referenced data and discussed in terms of accuracy, grid dependence and computational budget.

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“…Mavriplis (1999) used the thin-layer form of the Navier-Stokes equations with hybrid grids, enabling this way the use of a simple edge-based data structure. Nakahashi et al (1999) performed gradients volume averaging over all cells sharing an edge to compute the velocity gradients in the midpoint of an edge using unstructured hybrid grid. Prisms and pyramids were divided into tetrahedra in order to compute the gradients for these types of cells.…”

Section: Viscous Fluxmentioning

confidence: 99%

Artificial Compressibility 3-D Navier-Stokes Solver for Unsteady Incompressible Flows with Hybrid Grids

Vrahliotis

Pappou

Tsangaris

2012

Engineering Applications of Computational Fluid Mechanics

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An unsteady incompressible numerical method for the solution of Navier-Stokes equations is presented. The finite volume solver adopts the method of artificial compressibility, using an implicit dual time stepping scheme for time accuracy. The 2D solver operates on general hybrid meshes containing triangles and quadrilaterals, while the 3D solver operates on hybrid meshes containing tetrahedra, pyramids, prisms and hexahedra. The developed algorithms for spatial discretization and time integration are mesh transparent. An upwind spatial discretization scheme is used for the convective terms and a central scheme for the diffusive terms. Efficient calculation of flow fluxes is implemented in an edge-wise fashion. A new combined method for efficient and accurate evaluation of variable gradients is achieved by using an averaging technique and by avoiding multiple spatial integration of the same element of the mesh. The results obtained agree well with numerical solutions obtained by other researchers.

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Applications of unstructured hybrid grid method to high-Reynolds number viscous flows

Cited by 41 publications

References 13 publications

ADI-SGS scheme on ideal magnetohydrodynamics

ADI-SGS scheme on ideal magnetohydrodynamics

Assessment of high-order finite volume methods on unstructured meshes for RANS solutions of aeronautical configurations

Artificial Compressibility 3-D Navier-Stokes Solver for Unsteady Incompressible Flows with Hybrid Grids

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