Multitasked embedded multigrid for threedimensional flow simulation
Abstract
This project explored fast algorithms for Euler and NavierStokes simulations. A particular issue pursued under the grant was the integration of an explicit three dimensional flow solver, embedded mesh refinements, a model equation hierarchy, multiple grid acceleration and extensive vectorization and multitasking. Several papers were produced during this effort including such titles as Multitasked embedded multigrid for three dimensional flow simulation and Multigrid approaches to the Euler equations. An efficient algorithm designed to be used for NavierStokes simulations of complex flows over complete configurations is described. The algorithm incorporates a number of elements, including an explicit three dimensional flow solver, embedded mesh refinements, a model equation hierarchy ranging from the Euler equations through the full NavierStokes equations, multiple grid convergence acceleration and extensive vectorization and multitasking for efficient execution on parallel processing supercomputers. Results are presented for a preliminary trial of the method on a problem representative of turbomachinery applications. Based on this performance data, it is estimated that a mature implementation of the algorithm will yield overall speedups ranging as high as 100.
 Publication:

Final Report Institute for Scientific Computing
 Pub Date:
 June 1986
 Bibcode:
 1986isc..rept.....J
 Keywords:

 Algorithms;
 Computational Grids;
 Computerized Simulation;
 Euler Equations Of Motion;
 NavierStokes Equation;
 Three Dimensional Flow;
 Three Dimensional Models;
 Acceleration (Physics);
 Differential Equations;
 Embedding;
 Mathematical Models;
 Parallel Processing (Computers);
 Supercomputers;
 Fluid Mechanics and Heat Transfer