Acoustic upwinding for sub- and super-sonic turbulent channel flow at low Reynolds number

作者：de lange H C^*

来源：International Journal for Numerical Methods in Fluids, 2007, 55(3): 205-223.

DOI：10.1002/fld.1446

• acoustic upwinding
• subsonic
• supersonic
• turbulent
• channel flow

A recently developed asymmetric implicit fifth-order scheme with acoustic upwinding for the spatial discretization for the characteristic waves is applied to the fully compressible, viscous and non-stationary Navier-Stokes equations for sub- and super-sonic, mildly turbulent, channel flow (Re-tau = 360). For a Mach number of 0.1, results are presented for uniform (32(3), 64(3) and 128(3)) and non-uniform (expanding wall-normal, 32(3) and 64(3)) grids and compared to the (incompressible) reference solution found in (J. Fluid. Mech. 1987; 177:133-166). The results for uniform grids on 128(3) and 64(3) nodes show high resemblance with the reference solution. Expanding grids are applied on 64(3) and 32(3)-node grids. The capability of the proposed technique to solve compressible flow is first demonstrated by increasing the Mach number to 0.3, 0.6 and 0.9 for isentropic flow on the uniform 64(3)-grid. Next, the flow speed is increased to Ma = 2. The results for the isothermal-wall supersonic flows give very good agreement with known literature results. The velocity field, the temperature and their fluctuations are well resolved. This means that in all presented (sub- and super-sonic) cases, the combination of acoustic upwinding and the asymmetric high-order scheme provides sufficient high wave-number damping and low wave-number accuracy to give numerically stable and accurate results.

• 出版日期2007-9-30