Soto, Orlando; Löhner, Rainald; Yang, Chi An adjoint-based design methology for CFD problems. (English) Zbl 1078.76057 Int. J. Numer. Methods Heat Fluid Flow 14, No. 5-6, 734-759 (2004). Summary: A complete CFD design methodology is presented. The main components of this methodology are a general edge-based compressible/incompressible flow solver; a continuous adjoint formulation for the gradient computations; a steepest descent technique for the change of design variables; evaluation of the gradient of the discretized flow equations with respect to mesh by finite differences; a CAD-free pseudo-shell surface parametrization, allowing every point on the surface to be optimized to be used as a design parameter; and a level type scheme for the movement of the interior points. Several examples are included to demonstrate the methodology developed. Cited in 14 Documents MSC: 76M99 Basic methods in fluid mechanics Keywords:compressible flow, incompressible flow; pseudo-shell surface parametrization; finite element analysis; optimization techniques PDF BibTeX XML Cite \textit{O. Soto} et al., Int. J. Numer. Methods Heat Fluid Flow 14, No. 5--6, 734--759 (2004; Zbl 1078.76057) Full Text: DOI References: [1] Elliott, J. and Peraire, J. (1998), ”Constrained, multipoint shape optimization for complex 3D configurations”, Aeronautical J., Vol. 102, pp. 365-76. [2] DOI: 10.1007/BF01061285 · Zbl 0676.76055 · doi:10.1007/BF01061285 [3] DOI: 10.1016/S0168-9274(99)00002-1 · Zbl 0951.76040 · doi:10.1016/S0168-9274(99)00002-1 [4] DOI: 10.1006/jcph.1998.6076 · Zbl 0931.76045 · doi:10.1006/jcph.1998.6076 [5] DOI: 10.1016/S0045-7930(00)00011-6 · Zbl 0983.76056 · doi:10.1016/S0045-7930(00)00011-6 [6] DOI: 10.1002/(SICI)1097-0363(19970730)25:2<183::AID-FLD545>3.0.CO;2-U · Zbl 0892.76071 · doi:10.1002/(SICI)1097-0363(19970730)25:2<183::AID-FLD545>3.0.CO;2-U [7] DOI: 10.2514/2.2416 · doi:10.2514/2.2416 [8] DOI: 10.2514/2.2413 · doi:10.2514/2.2413 [9] DOI: 10.1002/nme.207.abs · Zbl 1051.76012 · doi:10.1002/nme.207.abs [10] DOI: 10.1002/cnm.490 · Zbl 1063.76058 · doi:10.1002/cnm.490 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.