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Adaptive grid embedding for the two-dimensional flux-split Euler equationsA numerical algorithm is presented for solving the 2-D flux-split Euler equations using a multigrid method with adaptive grid embedding. The method uses an unstructured data set along with a system of pointers for communication on the irregularly shaped grid topologies. An explicit two-stage time advancement scheme is implemented. A multigrid algorithm is used to provide grid level communication and to accelerate the convergence of the solution to steady state. Results are presented for a subcritical airfoil and a transonic airfoil with 3 levels of adaptation. Comparisons are made with a structured upwind Euler code which uses the same flux integration techniques of the present algorithm. Good agreement is obtained with converged surface pressure coefficients. The lift coefficients of the adaptive code are within 2 1/2 percent of the structured code for the sub-critical case and within 4 1/2 percent of the structured code for the transonic case using approximately one-third the number of grid points.
Document ID
19900012255
Acquisition Source
Legacy CDMS
Document Type
Thesis/Dissertation
Authors
Warren, Gary Patrick
(Mississippi State Univ. Mississippi State, MS, United States)
Date Acquired
September 6, 2013
Publication Date
May 1, 1990
Subject Category
Numerical Analysis
Report/Patent Number
NASA-CR-186533
NAS 1.26:186533
Accession Number
90N21571
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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