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AMathematical Basis for Automated Grid Generation with Close Coupling to the Flow Solver(A Work-in-Progress Paper)

Barnette, Daniel W.

Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.97-114, October 1997


Sandia National Laboratories
MS 1111
Albuquerque, New Mexico 87185-11 11

The first two truncation error terms resulting- from finite differencing the convection terms in the two-dimensional Navier-Stokes equations are examined for the purpose of constructing two-dimensional 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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