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Application of flux vector splitting methods with SST turbulence model to wall-bounded flows
Manokaran K.,
Published in Elsevier BV
2020
Volume: 208

Abstract

An explicit 3D Reynolds Averaged Navier-Stokes solver SURFS3D has been developed and run on a structured grid. A 4-stage Runge-Kutta (RK) method is used for the time integration and OpenMP is used to parallelize the solver. This is used as a platform to compare Van Leer’s Flux Vector Splitting Method (VLFVSM) to a variant of Liou’s Advection Upstream Splitting with velocity and pressure diffusion (AUSM ${}^{+}$-up2). The code results are validated for wall bounded flows. Menter’s $k-\omega$ Shear Stress Transport (SST) turbulence model is employed and validated for turbulent flows. The SST turbulence model is selected due to its capability to predict the shock location and separation location in adverse pressure gradient accurately. The validation cases are laminar and turbulent incompressible flows and turbulent supersonic flow over flat plate, transonic flow over an axisymmetric bump, and supersonic flow over a blunt bi-conic configuration. It is observed that VLFVSM+SST lacks accurate viscous prediction capability for the wall-bounded flows at low speeds compared to AUSM ${}^{+}$-up2+SST, which works well at low speed. In transonic flow conditions, both schemes perform well. AUSM ${}^{+}$-up2 scheme exhibits mild carbuncle problem for Mach 3.0 flow over a blunt biconic configuration, whereas, VLFVSM is free from this problem. Overall, the SST turbulence model performance is good for all the validation cases studied.