Hybrid Artificial Viscosity--Central-Upwind Scheme for Recirculating Turbulent Shallow Water Flows

In this paper, a hybrid artificial viscosity--central-upwind (AV-CU) scheme is proposed for simulating recirculating turbulent shallow water flows by combining the artificial viscosity (AV) technique with the central-upwind (CU) scheme. The two-dimensional (2D) depth-averaged Reynolds-averaged Navier Stokes (DA-RANS) equations are solved using the AV technique, whereas the CU scheme is employed to compute the $ąppa$-$\epsilon$ model. The model is of spatially and temporally second-order accurate. The scalable wall functions (ScWF) are employed, thus becoming flexible in generating meshes without having to estimate the wall friction velocity at initial time step as if the standard wall functions (StWF) are used. The results benefit strongly from this hybrid approach being more accurate than the CU and Harten-Lax-van LeerContact (HLLC) schemes ---and 1.52$\times$ cheaper than the HLLC scheme for such recirculating turbulent flows. As such, the proposed approach could become a promising method for practical engineering purposes to simulate turbulent shallow water flows more efficiently and accurately.     «

In this paper, a hybrid artificial viscosity--central-upwind (AV-CU) scheme is proposed for simulating recirculating turbulent shallow water flows by combining the artificial viscosity (AV) technique with the central-upwind (CU) scheme. The two-dimensional (2D) depth-averaged Reynolds-averaged Navier Stokes (DA-RANS) equations are solved using the AV technique, whereas the CU scheme is employed to compute the $ąppa$-$\epsilon$ model. The model is of spatially and temporally second-order accurate...     »