Direct Numerical Simulation of Turbulent Katabatic Slope Flows with an Immersed-Boundary Method

Autor: Rey DeLeon, Clancy Umphrey, Inanc Senocak
Rok vydání: 2017
Předmět:
Zdroj: Boundary-Layer Meteorology. 164:367-382
ISSN: 1573-1472
0006-8314
DOI: 10.1007/s10546-017-0252-3
Popis: We investigate a Cartesian-mesh immersed-boundary formulation within an incompressible flow solver to simulate laminar and turbulent katabatic slope flows. As a proof-of-concept study, we consider four different immersed-boundary reconstruction schemes for imposing a Neumann-type boundary condition on the buoyancy field. Prandtl’s laminar solution is used to demonstrate the second-order accuracy of the numerical solutions globally. Direct numerical simulation of a turbulent katabatic flow is then performed to investigate the applicability of the proposed schemes in the turbulent regime by analyzing both first- and second-order statistics of turbulence. First-order statistics show that turbulent katabatic flow simulations are noticeably sensitive to the specifics of the immersed-boundary formulation. We find that reconstruction schemes that work well in the laminar regime may not perform as well when applied to a turbulent regime. Our proposed immersed-boundary reconstruction scheme agrees closely with the terrain-fitted reference solutions in both flow regimes.
Databáze: OpenAIRE