Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
MC 5479
Dr. Gustaaf Jacobs
San Diego State University
Lagrangian Coherent Structures and DNS with Discontinuous Galerkin methods
High-fidelity numerical tools based on high-order Discontinuous-Galerkin (DG) methods and Lagrangian Coherent Structure (LCS) theory for the study of separated, vortex-dominated flows are discussed. A numerical framework is presented that couples a higher-order DG-DNS solver with time-dependent analysis of the flow through LCS . At heart of this framework lies an algorithm that computes Finite-Time Lyapunov Exponent (FTLE) fields simultaneously with DNS and with spectral accuracy. The algorithm is applied to investigate the role of LCS in fluid mixing in the unstable bottom boundary layer under a solitary surface wave mimicked by a soliton-like pressure gradient driven flow in an oscillating water tunnel. The development of wwo and three-dimensional LCS fields for the unsteady separated flow over a NACA 65-(1)412 airfoil at a free-stream Reynolds number of Re=20,000 is also discussed.
*This is a joint event with The Water Institute
Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is co-ordinated within the Office of Indigenous Relations.