MULTIGRID ACCELERATION OF TIME-ACCURATE NAVIER-STOKES CALCULATIONS N. Duane Melson NASA Langley Research Center Hampton, VA, USA Mark D. Sanetrik Analytical Services and Materials, Inc. Hampton, VA, USA A three-dimensional steady Navier-Stokes code for industrial-research has been modified to calculate unsteady flows. The original code used multigrid acceleration, coupled with an explicit multistage Runge-Kutta scheme to obtain steady solutions in O(n) operations. Physical time derivative terms are added to the scheme, and an iterative-implicit scheme is employed to advance the solution in time. The iterations at each time step are accelerated using the multigrid strategies of the original three-dimensional solver. The initial development of this scheme was presented at the 6th Copper Mountain Conference on Multigrid Methods. The proposed paper will describe enhancements to the algorithm presented previously and will present some results from recent applications of the algorithm to unsteady aerodynamic flows. -- N Duane Melson MS 128 NASA, Langley Research Center Hampton VA 23681 n.d.melson@larc.nasa.gov voice: (804) 864 2227 fax: (804) 864 8816