By Norbert Kroll (auth.), Norbert Kroll, Heribert Bieler, Herman Deconinck, Vincent Couaillier, Harmen van der Ven, Kaare Sørensen (eds.)
This quantity includes effects received from the EU-funded sixth Framework venture ADIGMA (Adaptive Higher-order Variational equipment for Aerodynamic purposes in Industry). The target of ADIGMA was once the advance and usage of cutting edge adaptive higher-order equipment for the compressible movement equations allowing trustworthy, mesh self sufficient numerical strategies for large-scale aerodynamic purposes in plane undefined. The ADIGMA consortium used to be constituted of 22 corporations which integrated the most ecu plane brands, the key eu examine institutions and a number of other universities, all with good confirmed services in Computational Fluid Dynamics (CFD). The publication provides an creation to the venture, shows companions’ tools and ap-proaches and gives a serious evaluation of the newly constructed tools for commercial aerodynamic purposes. the simplest numerical recommendations for integration as significant development blocks for the subsequent iteration of business circulate solvers are pointed out.
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Extra resources 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
Sample text
Subsonic turbulent flow solutions can now be computed quite efficiently but a fully satisfactory compromise between efficiency and robustness is still lacking. The shock-capturing approach turned out to be robust and accurate. However, the highly non-linear character of the shock-capturing term has High-Order Accurate DG Computation of Transonic Turbulent Flows 37 Fig. 9 Flow separation near the tip of the ONERA M6 wing and at the wing-root juncture of the DLR-F6 wing-body configuration an adverse impact on the regularity of convergence of residuals and hence on the computational efficiency.
In the next sections, we introduce the particularities with our approach: the construction of a macro element on the dual mesh and the use of curved boundaries for these elements. 3 The Vertex-Centered Macro Element The finite elements of the standard (cell-centered) DG method use polynomials defined separately on each mesh cell, which means that the control volumes Km discussed in Section 2 coincide with the mesh cells, typically triangles or quadrilaterals in two space dimensions. In our vertex-centered DG method we use another choice of control volumes Km , defined on a so-called dual mesh.
This allows one to take advantage of the efficient implementation of BLAS and LAPACK implementation and the speed of single precision arithmetic. The use of a Jacobian-free GMRES with single precision preconditioner for DGM thus leads to an economical method, both in terms of memory and CPU time, in comparison to a more classical implementation. The significant efficiency that has been obtained for the assembly of the matrix and its decomposition, particularly with respect to the hard-to-optimise residual assembly, shift the balance somewhat towards matrix-based methods.
