This volume contains results gained from the EU-funded 6th Framework project ADIGMA (Adaptive Higher-order Variational Methods for Aerodynamic Applications in Industry). The goal of ADIGMA was the development and utilization of innovative adaptive higher-order methods for the compressible flow equations enabling reliable, mesh independent numerical solutions for large-scale aerodynamic applications in aircraft industry. The ADIGMA consortium was comprised of 22 organizations which included the main European aircraft manufacturers, the major European research establishments and several universities, all with well proven expertise in Computational Fluid Dynamics (CFD). The book presents an introduction to the project, exhibits partnersa methods and approaches and provides a critical assessment of the newly developed methods for industrial aerodynamic applications. The best numerical strategies for integration as major building blocks for the next generation of industrial flow solvers are identified.... Norbert Kroll, Heribert Bieler, Herman Deconinck, Vincent Couaillier, Harmen van der Ven, Kaare Sorensen ... For each neighbouring pair of points (Pi, Pi+\), we wish to construct an interpolating cubic curve segment Xi{t)=Ai{t-ti)3 + Bi{t-ti)2 ... We require that s be twice continuously differentiable at each of the break points Pi, ..., Pn- i : Xi(fi+l) = Xi+lik+l) %(ti+l)=Xitl(tt+1) (15) Fig. 1 The spline segment X, This leads to the so-called Hermite or Ferguson formula for a cubic spline curve: Xt(t)anbsp;...

Title | : | ADIGMA – A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications |

Author | : | Norbert Kroll, Heribert Bieler, Herman Deconinck, Vincent Couaillier, Harmen van der Ven, Kaare Sorensen |

Publisher | : | Springer Science & Business Media - 2010-09-18 |

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