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Parallel computing strategies for block multigrid implicit solution of the Euler equations

Journal Article · · AIAA Journal (American Institute of Aeronautics and Astronautics); (United States)
DOI:https://doi.org/10.2514/3.11176· OSTI ID:7070102
;  [1]
  1. Cornell University, Ithaca, NY (United States)

A multigrid diagonal implicit algorithm has been developed to solve the three-dimensional Euler equations of inviscid compressible flow on block-structured grids. An improved method of advancing the multigrid cycle has been examined with respect to convergence rates, accuracy, and efficiency. In this method, the multigrid cycle is advanced independently in each of the blocks, and the information exchange between the blocks is done using buffer arrays, allowing for the asynchronous updating of interface boundary conditions. This updating scheme is used to eliminate the convergence problems found in a previous implementation of the algorithm while retaining its potential for efficient parallel execution. Results are computed for transonic flows past wings and include pressure distributions to verify the accuracy of the scheme and convergence histories to demonstrate the efficiency of the method. Efficiencies that were obtained using a modest number of processors in parallel are also presented and discussed. 19 refs.

OSTI ID:
7070102
Journal Information:
AIAA Journal (American Institute of Aeronautics and Astronautics); (United States), Journal Name: AIAA Journal (American Institute of Aeronautics and Astronautics); (United States) Vol. 30:8; ISSN AIAJA; ISSN 0001-1452
Country of Publication:
United States
Language:
English