By Z. J. Wang
This publication comprises very important contributions by way of world-renowned specialists on adaptive high-order tools in computational fluid dynamics (CFD). It covers a number of customary, and nonetheless intensively researched equipment, together with the discontinuous Galerkin, residual distribution, finite quantity, differential quadrature, spectral quantity, spectral distinction, PNPM, and correction process through reconstruction equipment. the focus is purposes in aerospace engineering, however the ebook must also be invaluable in lots of different engineering disciplines together with mechanical, chemical and electric engineering. due to the fact a lot of those equipment are nonetheless evolving, the booklet might be a great reference for researchers and graduate scholars to achieve an figuring out of the state-of-the-art and last demanding situations in high-order CFD equipment.
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Extra resources for Adaptive High-Order Methods in Computational Fluid Dynamics
Deeply investigated within the AIAA CFD Drag Prediction Workshop18 series with the aim of assessing the state of the art of computational methods as practical aerodynamic tools for aircraft force and moment prediction. 5. The computations have been carried out on two nested grids with 50618 and 404944 hexahedral elements with curved, eight-node faces, see Figure 14. DG solutions have been computed up to P3 and up to P2 polynomial approximation on the coarse and fine grids, respectively. The parameters of the restarted GMRES solver have been set to 60 Krylov subspace vectors and 120 maximum iterations for the coarse grid solutions, and to 120 vectors and 480 iterations for the fine grid solutions.
24 The presence of the coarse space enables the additive Schwarz method to be scalable for elliptic problems. 23,24 The condition number does not depend directly upon H but only upon the factor Hδ . If the overlap is such that δ ≥ cH for some constant c, the subdomains are said to have “generous” overlap. With generous overlap, the condition number of the preconditioned system becomes independent of H1 and H h and the method is both scalable and optimal. On the other hand, we may consider the case where the overlap is defined by extending each nonoverlapping subdomain by a small number of element of the fine triangulation.
The same Figure 11 displays the pressure and turbulence intensity contours of the P2 solution. Figure 12 shows the convergence history in terms of Newton iterations and performance index units. The P0→2 solutions have been computed using the restarted GMRES algorithm with 60 Krylov subspace vectors and 120 maximum iterations. All the computations have been run in parallel using 512 cores of the DLR 01˙Chapter-1 December 1, 2010 16:28 World Scientific Review Volume - 9in x 6in 01˙Chapter-1 23 DG for Turbulent Flows (a) 8 p T u v 6 w k ln(ω) CFL 4 10-1 4 10-6 2 10-11 0 10-16 500 1000 -2 Residuals Residuals 10 9 log(CFL) 10 DPWIII W1: pressure and turbulence intensity contours of P2 solution.
Adaptive High-Order Methods in Computational Fluid Dynamics by Z. J. Wang