HiPS publications

• A.R. Kerstein, “Hierarchical parcel-swapping representation of turbulent mixing. Part 1. Formulation and scaling properties,” Journal of Statistical Physics 153:142-161 (2013).

• A.R. Kerstein, “Hierarchical parcel-swapping representation of turbulent mixing. Part 2. Application to channel flow,” Journal of Fluid Mechanics 750:421-463 (2014).

• A.R. Kerstein, “Hierarchical parcel-swapping representation of turbulent mixing. Part 3. Origins of correlation patterns observed in turbulent boundary layers,” Physical Review Fluids 6:044611 (2021).

• T. Starick, M. Behrang, D. O. Lignell, H. Schmidt, and A. R. Kerstein. “Turbulent mixing simulation using the Hierarchical Parcel-Swapping (HiPS) model,” Technische Mechanik, 43:49-58, 2023.

• T. Starick, and H Schmidt. “Stochastic modeling of turbulent mixing based on a hierarchical swapping of fluid parcels,” Proc. Appl. Math. Mech., 23:e202300280, 2023.

• T. Starick, and H Schmidt. “Investigation of turbulent mixing using a stochastic hierarchical parcel swapping mixing model,” Proc. Appl. Math. Mech., 22:e202200283, 2023.

• M. Behrang, T. Starick, I. Wheeler, H. Schmidt, A.R. Kerstein, D.O. Lignell, “Hierarchical parcel-swapping representation of turbulent mixing. Part 4. Extension to the viscous range and to mixing of scalars with nonunity Schmidt numbers,” submitted to Journal of Fluid Mechanics, June 2024. Preprint (2024).