By Norbert Kroll (auth.), Norbert Kroll, Heribert Bieler, Herman Deconinck, Vincent Couaillier, Harmen van der Ven, Kaare Sørensen (eds.)
This quantity comprises effects received from the EU-funded sixth Framework venture ADIGMA (Adaptive Higher-order Variational equipment for Aerodynamic purposes in Industry). The objective of ADIGMA was once the improvement and usage of cutting edge adaptive higher-order tools for the compressible move equations allowing trustworthy, mesh autonomous numerical strategies for large-scale aerodynamic purposes in airplane undefined. The ADIGMA consortium was once constituted of 22 corporations which incorporated the most eu airplane brands, the main eu study institutions and several other universities, all with good confirmed services in Computational Fluid Dynamics (CFD). The booklet provides an creation to the venture, shows companions’ equipment and ap-proaches and offers a severe evaluation of the newly built equipment for business aerodynamic functions. the easiest numerical concepts for integration as significant construction blocks for the subsequent iteration of commercial movement solvers are pointed out.
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Additional info for ADIGMA - A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications: Results of a collaborative research project funded by the European Union, 2006-2009
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6 Conclusions The effort reported here constitutes a pioneering, first-ever implementation for the Euler equations of the current vertex-centered DG scheme. To the best of our knowledge, this is also the first time that a DG scheme has been implemented within the framework of an edge-based FV code of the type very common in the aeronautical industry. Acceleration techniques such as local time stepping and agglomerated multigrid has been implemented successfully; the latter is further discussed in our other contribution to this volume .
Numerical experiments indicate that a pb ≥ 2 is qualitatively sufficient for the calculations we have made for p = 0, 1, 2, 3. Denote by Φ the mapping from reference triangle Tˆ to any curved triangle T (Ti or T j ) and by Φ −1 the inverse mapping, Φ (ξ , η ) = x y , Φ −1 (x, y) = ξ η . (15) Points (ξ , η ) ∈ Tˆ are transformed into points (x, y) ∈ T according to x= pb pb −m ∑ ∑ γmn ξ m η n , m=0 n=0 y= pb pb −m ∑ ∑ δmn ξ m η n , (16) m=0 n=0 where pb is the polynomial order of the boundary and γmn , δmn are constants that are computed in the preprocessor.