Simulating turbulent flows in complex geometries

Krishnan Mahesh

University of Minnesota

Direct numerical (DNS) and large-eddy simulation (LES) have traditionally been restricted to fairly simple geometries. The first part of the talk will discuss our work on developing the capability to reliably perform LES in engineering configurations. Special attention has been paid to ensuring robustness and accuracy at high Reynolds numbers without numerical dissipation. The talk will briefly describe our incompressible algorithm (Mahesh et al. 2004, J. Comput. Phys., vol. 197) and present some representative solutions. We have recently extended this capability to compressible flows (Hou & Mahesh 2005, Accepted for publication in J. Comput. Phys.) and will discuss the basic ideas. The second part of the talk will discuss ongoing work on turbulent jets in crossflow. We (Muppidi & Mahesh, 2005, Accepted for publication in J. Fluid Mech.) have developed an analytical scaling for jet trajectory that accounts for jet velocity profile and crossflow boundary layer thickness. Also direct numerical simulation has been performed under conditions corresponding to recent experiments (Muppidi & Mahesh, AIAA 2005-1115). Results from the simulations will be discussed.

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