Abstract
In this paper, we rigorously validate and verify the recently developed Space-Time Conservation Element/Solution Element (CE/SE) based Courant Number Insensitive transient viscous flow solver. Although, the CE/SE framework in two spatial dimension was originally designed for triangular meshes, in recent times it has been extended to utilize polygon shaped meshes also. However the effect of use of quadrilateral meshes on the Courant Number Insensitive scheme (CNIS) has not been well documented and tested. Therefore, in this paper we propose to verify and compare the effect of using triangular and quadrilateral meshes on the numerical accuracy through use of benchmark test cases such as laminar flow over a flat plate, laminar flow over a thin flat plate (splitter plate) and laminar flow over a square cylinder. The numerical results and their comparison with analytical and experimental results are also presented. Possible future work is also discussed.
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