A modified compact numerical algorithm to solve 2D Navier-Stokes equation
In this paper a modified fourth order compact scheme for solving unsteady 2-D Navier-stokes equation in stream function-vorticity formulation is proposed. The proposed scheme involves domain transformation and the governing cartesian equations are transformed to body fitted coordinate system. Explic...
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2019-10-01
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| Series: | Results in Applied Mathematics |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590037419300652 |
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doaj-ad8195547b404cdf93eed3a9222c40f12020-11-25T00:43:36ZengElsevierResults in Applied Mathematics2590-03742019-10-013A modified compact numerical algorithm to solve 2D Navier-Stokes equationS. Jayanthi0T. Kavitha1Department of Mathematics, BMS College of Engineering, Bangalore, 560019, Karnataka, India; Corresponding author.Department of Mathematics, R V College of Engineering, Bangalore, 560059, Karnataka, IndiaIn this paper a modified fourth order compact scheme for solving unsteady 2-D Navier-stokes equation in stream function-vorticity formulation is proposed. The proposed scheme involves domain transformation and the governing cartesian equations are transformed to body fitted coordinate system. Explicit Euler’s forward discretization in time and central difference in space are applied except for few nodes adjacent to the computational boundaries. The scheme is tested on two benchmark problems Taylor vortex flow, Burgraff flow. The results in numerical form are compared with exact solutions and are in excellent agreement. Keywords: Compact scheme, Body fitted coordinates, Navier-Stokes equationhttp://www.sciencedirect.com/science/article/pii/S2590037419300652 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
S. Jayanthi T. Kavitha |
| spellingShingle |
S. Jayanthi T. Kavitha A modified compact numerical algorithm to solve 2D Navier-Stokes equation Results in Applied Mathematics |
| author_facet |
S. Jayanthi T. Kavitha |
| author_sort |
S. Jayanthi |
| title |
A modified compact numerical algorithm to solve 2D Navier-Stokes equation |
| title_short |
A modified compact numerical algorithm to solve 2D Navier-Stokes equation |
| title_full |
A modified compact numerical algorithm to solve 2D Navier-Stokes equation |
| title_fullStr |
A modified compact numerical algorithm to solve 2D Navier-Stokes equation |
| title_full_unstemmed |
A modified compact numerical algorithm to solve 2D Navier-Stokes equation |
| title_sort |
modified compact numerical algorithm to solve 2d navier-stokes equation |
| publisher |
Elsevier |
| series |
Results in Applied Mathematics |
| issn |
2590-0374 |
| publishDate |
2019-10-01 |
| description |
In this paper a modified fourth order compact scheme for solving unsteady 2-D Navier-stokes equation in stream function-vorticity formulation is proposed. The proposed scheme involves domain transformation and the governing cartesian equations are transformed to body fitted coordinate system. Explicit Euler’s forward discretization in time and central difference in space are applied except for few nodes adjacent to the computational boundaries. The scheme is tested on two benchmark problems Taylor vortex flow, Burgraff flow. The results in numerical form are compared with exact solutions and are in excellent agreement. Keywords: Compact scheme, Body fitted coordinates, Navier-Stokes equation |
| url |
http://www.sciencedirect.com/science/article/pii/S2590037419300652 |
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