By Z. J. Wang
This ebook involves very important contributions via world-renowned specialists on adaptive high-order equipment in computational fluid dynamics (CFD). It covers numerous wide-spread, and nonetheless intensively researched equipment, together with the discontinuous Galerkin, residual distribution, finite quantity, differential quadrature, spectral quantity, spectral distinction, PNPM, and correction method through reconstruction tools. the main target is purposes in aerospace engineering, however the e-book also needs to be important in lots of different engineering disciplines together with mechanical, chemical and electric engineering. because a lot of those tools are nonetheless evolving, the publication might be a superb reference for researchers and graduate scholars to achieve an figuring out of the state-of-the-art and final demanding situations in high-order CFD equipment.
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Additional info for Adaptive High-Order Methods in Computational Fluid Dynamics
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Manzini, D. Marini, P. Pietra, and A. Russo, Discontinuous Galerkin approximations for elliptic problems, Numer. Methods Partial Differential Equations. 16, 365–378, (2000). 11. D. N. Arnold, F. Brezzi, B. Cockburn, and D. Marini, Unified analysis of discontinuous Galerkin methods for elliptic problems, SIAM J. Numer. Anal. 39(5), 1749–1779, (2002). 12. D. H¨ anel, R. Schwane, and G. Seider. On the accuracy of upwind schemes for the solution of the Navier–Stokes equations. AIAA Paper 87-1105 CP, AIAA, (1987).
Numerical examples using several domain decomposition algorithms are presented for a higher-order simulation of a convection-diffusion model problem. 1. Introduction Today’s most powerful supercomputers are able to reach a peak performance of more than one petaflop/s. However, peak performance has been reached by a continuing trend of parallelization with the most powerful machines now employing more than 100,000 processors. While several CFD codes have been used on large parallel systems with up to several thousand processors, Mavriplis notes: “The scalability of most [CFD] codes tops out 33 02˙Chapter-2 November 23, 2010 34 11:58 World Scientific Review Volume - 9in x 6in L.
Adaptive High-Order Methods in Computational Fluid Dynamics by Z. J. Wang
Categories: Fluid Dynamics