Industrial scale Large Eddy Simulations with adaptive octree meshes using immersogeometric analysis

We present a variant of the immersed boundary method integrated with octree meshes for highly efficient and accurate Large Eddy Simulations (LES) of flows around complex geometries. We demonstrate the scalability of the proposed method up to theta(32K) processors. This is achieved by (a) rapid in-out tests; (b) adaptive quadrature for an accurate evaluation of forces; (c) tensorized evaluation during matrix assembly. We showcase this method on two non-trivial applications: accurately computing the drag coefficient of a sphere across Reynolds numbers 1 - 10(6) encompassing the drag crisis regime; simulating flow features across a semi-truck for investigating the effect of platooning on efficiency.

Automated summary

A variant of the immersed boundary method integrated with octree meshes is introduced for highly efficient and accurate Large Eddy Simulations (LES) of flows around complex geometries. Scalability of the proposed method up to theta(32K) processors is demonstrated through rapid in-out tests, adaptive quadrature for accurate force evaluation, and tensorized evaluation during matrix assembly. The method is successfully showcased in accurately computing the drag coefficient of a sphere across Reynolds numbers 1 to 10^6 and simulating flow features across a semi-truck for investigating the effect of platooning on efficiency.