CELL-CENTERED FINITE VOLUME SOLUTION OF THE TWO-DIMENSIONAL NAVIER-STOKES EQUATIONS
Cell-centered finite volume method with multistage time-stepping is successfully applied to two-dimensional mass-weighted, time-averaged Navier-Stokes equations for the computation of viscous flows. In the cellcentered scheme, flow quantities are associated with the center of a cell. Convective fl...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Turkish Air Force Academy
2005-07-01
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| Series: | Havacılık ve Uzay Teknolojileri Dergisi |
| Subjects: | |
| Online Access: | http://www.jast.hho.edu.tr/JAST/index.php/JAST/article/view/129/116 |
| _version_ | 1797915031881383936 |
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| author | Murat Uygun Kadir Kırkköprü |
| author_facet | Murat Uygun Kadir Kırkköprü |
| author_sort | Murat Uygun |
| collection | DOAJ |
| description | Cell-centered finite volume method with multistage time-stepping is successfully applied to two-dimensional
mass-weighted, time-averaged Navier-Stokes equations for the computation of viscous flows. In the cellcentered
scheme, flow quantities are associated with the center of a cell. Convective fluxes at the cell faces are
evaluated by means of upwind Roe Flux Differencing Scheme (Roe FDS) with Monotone Upwind Schemes for
Scalar Conservation Laws (MUSCL) approach. Green’s theorem is employed for evaluation of gradients in
computation of viscous fluxes. Five stage hybrid time-stepping scheme is implemented for integration to steady
state. Convergence is accelerated by utilizing local time stepping and residual smoothing. The accuracy of the
present Navier-Stokes solver is verified by comparing flat-plate laminar boundary-layer solutions with
theoretical solutions of Blasius and by comparing laminar airfoil solutions with those available in literature.
Convergence down to machine zero attained in the computations indicates a good sign for the efficiency of the
present solver. Turbulence closure for Reynolds stresses is obtained using two-layer algebraic eddy viscosity
model of Baldwin and Lomax. Computed results for turbulent flows are validated with available experimental
results. |
| first_indexed | 2024-04-10T12:35:15Z |
| format | Article |
| id | doaj.art-6d3f27e8df7f4242a831df7ca3cc9bf1 |
| institution | Directory Open Access Journal |
| issn | 1304-0448 1304-0448 |
| language | English |
| last_indexed | 2024-04-10T12:35:15Z |
| publishDate | 2005-07-01 |
| publisher | Turkish Air Force Academy |
| record_format | Article |
| series | Havacılık ve Uzay Teknolojileri Dergisi |
| spelling | doaj.art-6d3f27e8df7f4242a831df7ca3cc9bf12023-02-15T16:14:41ZengTurkish Air Force AcademyHavacılık ve Uzay Teknolojileri Dergisi1304-04481304-04482005-07-01222736CELL-CENTERED FINITE VOLUME SOLUTION OF THE TWO-DIMENSIONAL NAVIER-STOKES EQUATIONSMurat Uygun 0Kadir Kırkköprü1Turkish Air Force AcademyIstanbul Technical UniversityCell-centered finite volume method with multistage time-stepping is successfully applied to two-dimensional mass-weighted, time-averaged Navier-Stokes equations for the computation of viscous flows. In the cellcentered scheme, flow quantities are associated with the center of a cell. Convective fluxes at the cell faces are evaluated by means of upwind Roe Flux Differencing Scheme (Roe FDS) with Monotone Upwind Schemes for Scalar Conservation Laws (MUSCL) approach. Green’s theorem is employed for evaluation of gradients in computation of viscous fluxes. Five stage hybrid time-stepping scheme is implemented for integration to steady state. Convergence is accelerated by utilizing local time stepping and residual smoothing. The accuracy of the present Navier-Stokes solver is verified by comparing flat-plate laminar boundary-layer solutions with theoretical solutions of Blasius and by comparing laminar airfoil solutions with those available in literature. Convergence down to machine zero attained in the computations indicates a good sign for the efficiency of the present solver. Turbulence closure for Reynolds stresses is obtained using two-layer algebraic eddy viscosity model of Baldwin and Lomax. Computed results for turbulent flows are validated with available experimental results.http://www.jast.hho.edu.tr/JAST/index.php/JAST/article/view/129/116Viscous FlowsRoe Flux Differencing SchemeGreen’s TheoremBaldwin-Lomax Turbulence Model |
| spellingShingle | Murat Uygun Kadir Kırkköprü CELL-CENTERED FINITE VOLUME SOLUTION OF THE TWO-DIMENSIONAL NAVIER-STOKES EQUATIONS Havacılık ve Uzay Teknolojileri Dergisi Viscous Flows Roe Flux Differencing Scheme Green’s Theorem Baldwin-Lomax Turbulence Model |
| title | CELL-CENTERED FINITE VOLUME SOLUTION OF THE TWO-DIMENSIONAL NAVIER-STOKES EQUATIONS |
| title_full | CELL-CENTERED FINITE VOLUME SOLUTION OF THE TWO-DIMENSIONAL NAVIER-STOKES EQUATIONS |
| title_fullStr | CELL-CENTERED FINITE VOLUME SOLUTION OF THE TWO-DIMENSIONAL NAVIER-STOKES EQUATIONS |
| title_full_unstemmed | CELL-CENTERED FINITE VOLUME SOLUTION OF THE TWO-DIMENSIONAL NAVIER-STOKES EQUATIONS |
| title_short | CELL-CENTERED FINITE VOLUME SOLUTION OF THE TWO-DIMENSIONAL NAVIER-STOKES EQUATIONS |
| title_sort | cell centered finite volume solution of the two dimensional navier stokes equations |
| topic | Viscous Flows Roe Flux Differencing Scheme Green’s Theorem Baldwin-Lomax Turbulence Model |
| url | http://www.jast.hho.edu.tr/JAST/index.php/JAST/article/view/129/116 |
| work_keys_str_mv | AT muratuygun cellcenteredfinitevolumesolutionofthetwodimensionalnavierstokesequations AT kadirkırkkopru cellcenteredfinitevolumesolutionofthetwodimensionalnavierstokesequations |