ADIGMA - A European Initiative on the Development of by Norbert Kroll (auth.), Norbert Kroll, Heribert Bieler,

By Norbert Kroll (auth.), Norbert Kroll, Heribert Bieler, Herman Deconinck, Vincent Couaillier, Harmen van der Ven, Kaare Sørensen (eds.)

This quantity comprises effects won from the EU-funded sixth Framework undertaking ADIGMA (Adaptive Higher-order Variational equipment for Aerodynamic functions in Industry). The objective of ADIGMA was once the advance and usage of leading edge adaptive higher-order tools for the compressible stream equations allowing trustworthy, mesh self sustaining numerical ideas for large-scale aerodynamic purposes in airplane undefined. The ADIGMA consortium was once made out of 22 agencies which incorporated the most ecu plane brands, the foremost ecu study institutions and a number of other universities, all with good confirmed services in Computational Fluid Dynamics (CFD). The booklet provides an advent to the undertaking, shows companions’ equipment and ap-proaches and gives a serious review of the newly constructed tools for commercial aerodynamic purposes. the simplest numerical suggestions for integration as significant development blocks for the subsequent iteration of business 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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The choice of the time step can significantly affect both the efficiency and the robustness of the method. For steady computations we have implemented the pseudotransient continuation strategy with the local time step given by Δ tK = CFL where c = |v| + a, d=2 hK , c+d μe + λ e , hK hK = N ΩK , SK define convective and diffusive velocities and the reference dimension of the generic element K, respectively. The coefficients μe and λe are the effective dynamic viscosity and conductivity, while ΩK and SK denote the volume and the surface of K.

If we use the polynomial order pb to approximate the boundary shape, and we use the polynomial order p for the basis functions of the elements, we will have subparametric elements if pb < p, isoparametric elements if pb = p, and superparametric elements if pb > p. Our mesh generator is implemented such that any order pb can be chosen, regardless of element order p. 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 .

In this chapter we summarize the progress on such topics achieved within the ADIGMA project and demonstrate the capability of the DG code MIGALE on several challenging test cases. F. Bassi · L. Botti · A. Colombo · A. Crivellini · N. Franchina Facolt`a di Ingegneria, Universit`a degli studi di Bergamo, Viale Marconi 5, 24044 Dalmine (BG), Italy A. Ghidoni · S. it N. Kroll et al. ): ADIGMA, NNFM 113, pp. 25–38, 2010. com 26 2 F. Bassi et al. DG Solution of the RANS and k-ω Equations Turbulent flow solutions presented in this chapter have been computed by using the linearly implicit Euler method to solve the system of ODEs in time deriving from the DG space discretization of the RANS and k-ω turbulence model equations.

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