A high-resolution code for turbulent boundary layers.

*(English)*Zbl 1273.76009Summary: A new high-resolution code for the direct simulation of incompressible boundary layers over a flat plate is described. It can accommodate a wide range of pressure gradients, and general time-dependent boundary conditions such as incoming wakes or wall forcing. The consistency orders of the advective and pressure-correction steps are different, but it is shown that the overall resolution is controlled by the higher-order advection step. The formulation of boundary conditions to ensure global mass conservation in the presence of arbitrary forcing is carefully analyzed. Two validation boundary layers with and without a strong adverse pressure gradient are presented, with maximum Reynolds numbers \(Re_\theta \approx 2000\). They agree well with the available experiments. Turbulent inflow conditions for the zero-pressure case are implemented by a recycling method, and it is shown that at least the initial 300 momentum thicknesses have to be discarded before the effect of the artificial inflow is forgotten. It is argued that this is not a defect of the method used to generate the inflow, but a property of the boundary layer.

##### MSC:

76-04 | Software, source code, etc. for problems pertaining to fluid mechanics |

76M20 | Finite difference methods applied to problems in fluid mechanics |

76D10 | Boundary-layer theory, separation and reattachment, higher-order effects |

##### Keywords:

incompressible turbulent boundary layers; turbulent inflow; compact finite differences; staggered grid; high-resolution
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\textit{M. P. Simens} et al., J. Comput. Phys. 228, No. 11, 4218--4231 (2009; Zbl 1273.76009)

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