Unsteady vorticity–streamfunction algorithm for external flows
A non-inertial vorticity–streamfunction algorithm of the Reynolds-averaged Navier–Stokes equations is developed for studying unsteady and turbulent flows past airfoils. The equations are solved on a non-orthogonal C-grid using a combined finite-difference/finite-volume technique. Comparative computa...
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| Published in | Computers & fluids Vol. 30; no. 1; pp. 69 - 87 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
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Elsevier Ltd
01.09.2000
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| ISSN | 0045-7930 1879-0747 |
| DOI | 10.1016/S0045-7930(00)00004-9 |
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| Abstract | A non-inertial vorticity–streamfunction algorithm of the Reynolds-averaged Navier–Stokes equations is developed for studying unsteady and turbulent flows past airfoils. The equations are solved on a non-orthogonal C-grid using a combined finite-difference/finite-volume technique. Comparative computations are carried out employing three different turbulence models. These are the algebraic zero-equation model of Baldwin and Lomax [1], and the one-equation models of Baldwin and Barth [2] and Spalart and Allmaras [3]. The performance of the models is evaluated against experiments of the Aérospatiale-A airfoil at incidences up to 40° and against two cases of an oscillating NACA 0015 airfoil experiencing light and deep stall. The computations demonstrate that the vorticity–streamfunction formulation combined with standard eddy-viscosity turbulence models is capable of predicting accurately unsteady and turbulent flows past airfoils. |
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| AbstractList | A non-inertial vorticity-streamfunction algorithm of the Reynolds-averaged Navier-Stokes equations is developed for studying unsteady and turbulent flows past airfoils. The equations are solved on a non-orthogonal C-grid using a combined finite-difference/finite-volume technique. Comparative computations are carried out employing three different turbulence models. These are the algebraic zero-equation model of Baldwin and Lomax, and the one-equation models of Baldwin and Barth and Spalart and Allmaras. The performance of the models is evaluated against experiments of the Aerospatiale-A airfoil at incidences up to 40 degree and against two cases of an oscillating NACA 0015 airfoil experiencing light and deep stall. The computations demonstrate that the vorticity-streamfunction formulation combined with standard eddy-viscosity turbulence models is capable of predicting accurately unsteady and turbulent flows past airfoils. A non-inertial vorticity–streamfunction algorithm of the Reynolds-averaged Navier–Stokes equations is developed for studying unsteady and turbulent flows past airfoils. The equations are solved on a non-orthogonal C-grid using a combined finite-difference/finite-volume technique. Comparative computations are carried out employing three different turbulence models. These are the algebraic zero-equation model of Baldwin and Lomax [1], and the one-equation models of Baldwin and Barth [2] and Spalart and Allmaras [3]. The performance of the models is evaluated against experiments of the Aérospatiale-A airfoil at incidences up to 40° and against two cases of an oscillating NACA 0015 airfoil experiencing light and deep stall. The computations demonstrate that the vorticity–streamfunction formulation combined with standard eddy-viscosity turbulence models is capable of predicting accurately unsteady and turbulent flows past airfoils. |
| Author | Nygreen, Per J. Sørensen, Jens N. |
| Author_xml | – sequence: 1 givenname: Jens N. surname: Sørensen fullname: Sørensen, Jens N. email: jns@et.dtu.dk, jns@afm.dtu.dk – sequence: 2 givenname: Per J. surname: Nygreen fullname: Nygreen, Per J. |
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| Cites_doi | 10.2514/6.1992-439 10.1002/(SICI)1097-0363(19970815)25:3<315::AID-FLD555>3.0.CO;2-L 10.2514/3.25260 10.2514/3.12300 10.2514/3.51096 10.2514/3.12730 10.2514/6.1978-257 10.2514/6.1991-610 10.2514/3.45534 10.1016/0045-7930(93)90024-4 10.2514/3.49022 10.1115/1.2911863 10.1002/fld.1650090803 |
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| Snippet | A non-inertial vorticity–streamfunction algorithm of the Reynolds-averaged Navier–Stokes equations is developed for studying unsteady and turbulent flows past... A non-inertial vorticity-streamfunction algorithm of the Reynolds-averaged Navier-Stokes equations is developed for studying unsteady and turbulent flows past... |
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| SubjectTerms | Algorithms Finite difference method Finite volume method Navier Stokes equations Turbulent flow Unsteady flow Viscosity Vortex flow vorticity–streamfunction |
| Title | Unsteady vorticity–streamfunction algorithm for external flows |
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