Numerical simulation of three-dimensional unsteady vortex flow using a compact vorticity-velocity algorithmA numerical algorithm is presented which is used to solve the unsteady, fully three-dimensional, incompressible Navier-Stokes equations in vorticity-velocity variables. A discussion of the discrete approximation scheme is presented as well as the solution method used to solve the resulting algebraic set of difference equations. Second order spatial and temporal accuracy is verified through solution comparisons with exact results obtained for steady three-dimensional stagnation point flow and unsteady axisymmetric vortex spin-up. In addition, results are presented for the problem of unsteady bubble-type vortex breakdown with emphasis on internal bubble dynamics and structure.
Document ID
19880029373
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Gatski, T. B. (NASA Langley Research Center Hampton, VA, United States)
Grosch, C. E. (Old Dominion University Norfolk, VA, United States)
Rose, M. E. (MER Associates Greensboro, NC, United States)
Spall, R. E. (High Technology Corp. Hampton, VA, United States)