Investigation of All-Speed SLAU Scheme in Incompressible Limit

Kalkote, Nikhil Narayan and Assam, Ashwani and Nived, M R and Eswaran, Vinayak (2019) Investigation of All-Speed SLAU Scheme in Incompressible Limit. In: Fifth International Conference on Computational Methods for Thermal Problems, 9-11 July 2018, Indian Institute of Science, Bangalore, India.

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Abstract

Density-based algorithms are generally used to solve high-speed flows; the accuracy of these methods degrades in low-speed limit i.e. in incompressible limit due to a large value of the condition number. A popular method to fix this issue is the use of preconditioning methods. Preconditioning not only maintains the accuracy in low Mach limit but also helps in accelerating the convergence by altering the characteristic speeds, which results in destructions of the time accuracy. Whereas new parameter free scheme has been suggested by Shima which solves the problem without destroying the time-accuracy. In this paper, we investigate the SLAU scheme of Shima in the incompressible limit for practical applications such as aerofoils at an angle of attack using our in-house developed 3-D unstructured hybrid code.

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