Multitasked embedded multigrid for three-dimensional flow simulation
Abstract
This project explored fast algorithms for Euler and Navier-Stokes 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 multi-tasking. 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 Navier-Stokes 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 Navier-Stokes 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;
- Navier-Stokes Equation;
- Three Dimensional Flow;
- Three Dimensional Models;
- Acceleration (Physics);
- Differential Equations;
- Embedding;
- Mathematical Models;
- Parallel Processing (Computers);
- Supercomputers;
- Fluid Mechanics and Heat Transfer