
AMathematical Basis for Automated Grid Generation with Close Coupling to the Flow Solver(A WorkinProgress Paper)
Barnette, Daniel W.
Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.97114, October 1997

INTERNATIONAL MESHING ROUNTABLE

Sandia National Laboratories
MS 1111
Albuquerque, New Mexico 8718511 11
Email: dwbarne@cs.sandia.gov
Abstract
The first two truncation error terms resulting from finite differencing the
convection terms in the twodimensional NavierStokes equations are examined for
the purpose of constructing twodimensional grid generation schemes. These
schemes are constructed such that the resulting grid distributions drive the
error terms to zero. Two sets of equations result, one for each error term,
that show promise in generating grids that provide more accurate flow solutions
and possibly faster convergence. One set results in an algebraic scheme that
drives the first truncation term to zero, and the other a hyperbolic scheme that
drives the second term to zero. Also discussed is the possibility of using the
schemes in sequentially constructing a grid in an iterative algorithm involving
the flow solver. In essence, the process is envisioned to generate not only a
flow field solution but the grid as well, Future work will include applications
and extending the method to three dimensions.
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