Spatial and temporal adaptive procedures for the unsteady aerodynamic analysis of airfoils using unstructured meshesAn algorithm which combines spatial and temporal adaption for the time integration of the two-dimensional Euler equations on unstructured meshes of triangles is presented. Spatial adaption involves mesh enrichment to add elements in high gradient regions of the flow and mesh coarsening to remove elements where they are no longer needed. Temporal adaption is a time accurate, local time stepping procedure which integrates the flow equations in each cell according to the local numerical stability constraint. The flow solver utilizes a four-stage Runge-Kutta time integration scheme with an upwind flux-split spatial discretization. Results obtained using spatial and temporal adaption indicate that highly accurate solutions can be obtained with a significant savings of computing time over global time stepping.
Document ID
19920062916
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Hooker, John R. (Purdue University West Lafayette, IN, United States)
Batina, John T. (NASA Langley Research Center Hampton, VA, United States)
Williams, Marc H. (Purdue University West Lafayette, IN, United States)