In this paper, we study the capability of implicit large eddy simulation (ILES) to capture transition. In particular, we study a planar temporal mixing layer subjected to low free stream perturbations. We simulated this problem by ILES and other approaches like Reynolds averaged Navier Stokes simulation (RANS), conventional large eddy simulation (LES) and direct numerical simulation (DNS). Qualitative and quantitative assessment of their relative performance reveals the advantage of ILES over other methods. We propose that any scheme, upwinding in this case, will be successful in simulating such flows if the discrete dispersion relationship of the linearized equation is similar to the theoretical dispersion relation. To verify our conjecture, we derived discretized dispersion relationship with upwinding and central difference scheme for a simple prototype of Navier Stokes equation namely complex Ginzburg Landau equation (CGLE). We found that the two relations and thus perturbation growth are significantly different from each other for, at least, convection dominated flows.
International Journal of Advances in Engineering Sciences and Applied Mathematics – Springer Journals
Published: Jun 2, 2018
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