Abstract
Applications of the compact scheme based on 5-point stencil to spatial differencing of the streamfunction velocity formulation of the two-dimensional incompressible viscous flows governed by Navier-Stokes equations in a two-sided lid-driven rectangular cavity is presented. This cavity problem has multiple steady solutions for some aspect ratios. However, for the square cavity, the fluid flow problem produces only a single steady solution for both the parallel and antiparallel motion of the walls. The flow patterns are unlike to the one-sided lid-driven cavity flows. The transient solution involves different vortex structures and free share layers. The computed results show the accuracy, efficiency, and stability of the compact scheme even for higher Res. Results obtained are in well agreement with the numerical and experimental results available in the literature.
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Karmakar, H., Pandit, S.K. (2015). Numerical Solutions of Incompressible Viscous Flows in a Double-Lid-Driven Cavity. In: Sarkar, S., Basu, U., De, S. (eds) Applied Mathematics. Springer Proceedings in Mathematics & Statistics, vol 146. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2547-8_23
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DOI: https://doi.org/10.1007/978-81-322-2547-8_23
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