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Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Application of an Iterative High Order Difference Scheme Along With an Explicit.

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Presentation on theme: "Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Application of an Iterative High Order Difference Scheme Along With an Explicit."— Presentation transcript:

1 Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Application of an Iterative High Order Difference Scheme Along With an Explicit System Solver for Solution of Stream Function-Vorticity Form of Navier–Stokes Equations J. Fluids Eng. 2013;135(4):041401-041401-11. doi:10.1115/1.4023295 Labeling of the nine grid points Figure Legend:

2 Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Application of an Iterative High Order Difference Scheme Along With an Explicit System Solver for Solution of Stream Function-Vorticity Form of Navier–Stokes Equations J. Fluids Eng. 2013;135(4):041401-041401-11. doi:10.1115/1.4023295 Geometry and boundary conditions of the square cavity Figure Legend:

3 Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Application of an Iterative High Order Difference Scheme Along With an Explicit System Solver for Solution of Stream Function-Vorticity Form of Navier–Stokes Equations J. Fluids Eng. 2013;135(4):041401-041401-11. doi:10.1115/1.4023295 Vorticity and stream function contours: Re = 1000 Figure Legend:

4 Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Application of an Iterative High Order Difference Scheme Along With an Explicit System Solver for Solution of Stream Function-Vorticity Form of Navier–Stokes Equations J. Fluids Eng. 2013;135(4):041401-041401-11. doi:10.1115/1.4023295 (a) Profile of u along the cavity vertical centerline, and (b) profile of v along the horizontal centerline for Re = 1000 Figure Legend:

5 Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Application of an Iterative High Order Difference Scheme Along With an Explicit System Solver for Solution of Stream Function-Vorticity Form of Navier–Stokes Equations J. Fluids Eng. 2013;135(4):041401-041401-11. doi:10.1115/1.4023295 Vorticity and stream function contours: Re = 5000 Figure Legend:

6 Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Application of an Iterative High Order Difference Scheme Along With an Explicit System Solver for Solution of Stream Function-Vorticity Form of Navier–Stokes Equations J. Fluids Eng. 2013;135(4):041401-041401-11. doi:10.1115/1.4023295 (a) Profile of u along the cavity vertical centerline, and (b) profile of v along the horizontal centerline for Re = 5000, N = 256 Figure Legend:

7 Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Application of an Iterative High Order Difference Scheme Along With an Explicit System Solver for Solution of Stream Function-Vorticity Form of Navier–Stokes Equations J. Fluids Eng. 2013;135(4):041401-041401-11. doi:10.1115/1.4023295 (a) Profile of u along the cavity vertical centerline, and (b) profile of v along the horizontal centerline for Re = 5000, N = 512 Figure Legend:

8 Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Application of an Iterative High Order Difference Scheme Along With an Explicit System Solver for Solution of Stream Function-Vorticity Form of Navier–Stokes Equations J. Fluids Eng. 2013;135(4):041401-041401-11. doi:10.1115/1.4023295 Vorticity and stream function contours: Re = 10,000 Figure Legend:

9 Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Application of an Iterative High Order Difference Scheme Along With an Explicit System Solver for Solution of Stream Function-Vorticity Form of Navier–Stokes Equations J. Fluids Eng. 2013;135(4):041401-041401-11. doi:10.1115/1.4023295 (a) Profile of u along the cavity vertical centerline, and (b) profile of v along the horizontal centerline for Re = 10,000, N = 512 Figure Legend:

10 Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Application of an Iterative High Order Difference Scheme Along With an Explicit System Solver for Solution of Stream Function-Vorticity Form of Navier–Stokes Equations J. Fluids Eng. 2013;135(4):041401-041401-11. doi:10.1115/1.4023295 Vorticity and stream function contours: Re = 20,000 Figure Legend:

11 Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Application of an Iterative High Order Difference Scheme Along With an Explicit System Solver for Solution of Stream Function-Vorticity Form of Navier–Stokes Equations J. Fluids Eng. 2013;135(4):041401-041401-11. doi:10.1115/1.4023295 (a) Profile of u along the cavity vertical centerline, and (b) profile of v along the horizontal centerline for Re = 20,000, N = 1024 Figure Legend:

12 Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Application of an Iterative High Order Difference Scheme Along With an Explicit System Solver for Solution of Stream Function-Vorticity Form of Navier–Stokes Equations J. Fluids Eng. 2013;135(4):041401-041401-11. doi:10.1115/1.4023295 Geometry of the L-shaped cavity Figure Legend:

13 Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Application of an Iterative High Order Difference Scheme Along With an Explicit System Solver for Solution of Stream Function-Vorticity Form of Navier–Stokes Equations J. Fluids Eng. 2013;135(4):041401-041401-11. doi:10.1115/1.4023295 Vorticity and stream function contours: Re = 100 Figure Legend:

14 Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Application of an Iterative High Order Difference Scheme Along With an Explicit System Solver for Solution of Stream Function-Vorticity Form of Navier–Stokes Equations J. Fluids Eng. 2013;135(4):041401-041401-11. doi:10.1115/1.4023295 (a) Profile of u along CL1, and (b) profile of v along CL2 for Re = 100 Figure Legend:

15 Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Application of an Iterative High Order Difference Scheme Along With an Explicit System Solver for Solution of Stream Function-Vorticity Form of Navier–Stokes Equations J. Fluids Eng. 2013;135(4):041401-041401-11. doi:10.1115/1.4023295 Vorticity and stream function contours: Re = 1000 Figure Legend:

16 Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Application of an Iterative High Order Difference Scheme Along With an Explicit System Solver for Solution of Stream Function-Vorticity Form of Navier–Stokes Equations J. Fluids Eng. 2013;135(4):041401-041401-11. doi:10.1115/1.4023295 (a) Profile of u along CL1, and (b) profile of v along CL2 for Re = 1000 Figure Legend:

17 Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Application of an Iterative High Order Difference Scheme Along With an Explicit System Solver for Solution of Stream Function-Vorticity Form of Navier–Stokes Equations J. Fluids Eng. 2013;135(4):041401-041401-11. doi:10.1115/1.4023295 Geometry and boundary conditions of backward-facing step flow problem Figure Legend:

18 Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Application of an Iterative High Order Difference Scheme Along With an Explicit System Solver for Solution of Stream Function-Vorticity Form of Navier–Stokes Equations J. Fluids Eng. 2013;135(4):041401-041401-11. doi:10.1115/1.4023295 Stream function contours: Re = 100–1000 Figure Legend:

19 Date of download: 5/28/2016 Copyright © ASME. All rights reserved. From: Application of an Iterative High Order Difference Scheme Along With an Explicit System Solver for Solution of Stream Function-Vorticity Form of Navier–Stokes Equations J. Fluids Eng. 2013;135(4):041401-041401-11. doi:10.1115/1.4023295 Reattachment length Figure Legend:


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