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Numerical Generation of Grids for Pathological Shapes
Applications of Numerical
Mathematical Aspects of Grid Generation I
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adaptive grid AIAA AIAA Paper airfoil algebraic algorithm application approximation block boundary conditions boundary points calculated Cartesian cells clustering coarse grid coefficients complex computational domain Computational Fluid Dynamics computational grid computational region computational space configuration conformal mapping constant control functions convergence coordinate lines coordinate system corresponding curves curvilinear coordinates curvilinear grids defined developed dimensional direction discretization distribution elliptic equidistribution example finite difference geometry given gradient grid lines grid points interface interior iterations Laplace equations linear mapping mesh method multigrid multigrid methods Navier-Stokes equations nodes Numerical Grid numerical solution obtained optimal coordinates orthogonal grid parameter partial differential equations physical domain physical region physical space plane Poisson equations present problem procedure rectangular refinement relaxation scheme segment shown in Figure simulation smooth solved specified step Thompson three-dimensional tion transfinite interpolation transformation triangle two-dimensional values variables vector velocity vertices WARSI zonal