| N.A. Pierce and J.J. Alonso. A preconditioned implicit multigrid algorithm for parallel computation of unsteady aeroelastic compressible flows. AIAA Paper 97-0444, 35th Aerospace Sciences Meeting and Exhibit, Reno, NV, 1997. |
....The improved preconditioned multigrid methods have also been incorporated successfully into other research projects that rely on a steady state solver as an inner kernel. These include both optimal design by adjoint methods [31, 32] and unsteady simulations based on an inner multigrid iteration [33, 34, 35]. 2 Approach 2.1 Scheme Description Construction and analysis of the proposed methods proceeds from the two dimensional linearized Navier Stokes equations in Cartesian coordinates W t A W x B W y = C 2 W x 2 D 2 W y 2 E 2 W x y ; where W is the ....
N.A. Pierce and J.J. Alonso. A preconditioned implicit multigrid algorithm for parallel computation of unsteady aeroelastic compressible flows. AIAA Paper 97-0444, 35th Aerospace Sciences Meeting and Exhibit, Reno, NV, 1997.
....far beyond facilitating computation of steady state flows to many other areas of research that rely on a steady state solver as an inner kernel. Notable beneficiaries would include both viscous design using adjoint methods [19, 20] and unsteady simulations based on an inner multigrid iteration [21, 22, 23]. 2 Two Dimensions Before examining the three dimensional case, the theoretical justifications for the proposed preconditioned multigrid methods will first be described in two dimensions. A portion of this analysis has been documented previously [17, 14, 8] and is included here to provide a ....
N.A. Pierce and J.J. Alonso. A preconditioned implicit multigrid algorithm for parallel computation of unsteady aeroelastic compressible flows. AIAA Paper 97-0444, 35th Aerospace Sciences Meeting and Exhibit, Reno, NV, 1997.
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