Abstract
In the present study, a numerical investigation of steady-state Stokes flow problem on a lid-driven square cavity is carried out using mesh-free local radial basis function-based differential quadrature (RBF-DQ) method. This method is a combination of differential quadrature approximation of derivatives and function approximation of RBF. The weighting coefficients of (RBF-DQ) method are determined by using Radial Basis Functions (RBF) as test functions instead of using high-order polynomials. Discretized derivatives of velocity and pressure at a point is defined by a weighted linear sum of functional values at its neighboring points. In this work, this method is applied to the two-dimensional Stokes flow in a fully coupled form using a staggered arrangement of primitive variables. Results obtained from the RBF-DQ method are compared with the existing result in the literature on lid-driven cavity problem. In order to get better understanding for the RBF-DQ method, outcomes are discussed in details.
Original language | English |
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Publication status | Published - 2016 |
Event | 9th International Conference on Computational Fluid Dynamics, ICCFD 2016 - Istanbul, Turkey Duration: 11 Jul 2016 → 15 Jul 2016 |
Conference
Conference | 9th International Conference on Computational Fluid Dynamics, ICCFD 2016 |
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Country/Territory | Turkey |
City | Istanbul |
Period | 11/07/16 → 15/07/16 |
Bibliographical note
Publisher Copyright:© 2016 9th International Conference on Computational Fluid Dynamics, ICCFD 2016 - Proceedings. All rights reserved.
Keywords
- Computational Fluid Dynamics
- Differential Quadrature
- Meshless Methods
- Numerical Algorithms
- Radial Basis Functions