A major weakness of classical design optimization procedures is due to the use of complex software environments, such as CAD tools, grid generation tools and PDE solvers, that rely on different representation bases. The isogeometric paradigm proposes to employ a unique high-order representation basis, such as NURBS, for all tools of the design loop. Thus, this approach yields the fusion of CAD and Finite-Element concepts.

Research axes

  • Numerical schemes for convection dominant problems: We develop a prototype of isogeometric solver for compressible flows (Euler/Navier-Stokes equations), based on a Discontinuous Galerkin formulation.

  • Algorithms for shape optimization : We investigate the potential of isogeometric methods for design optimization, in particular for sensitivity analysis and hierarchical optimization algorithms.

Some related papers

  • Isogeometric analysis for compressible flows using a Discontinuous Galerkin method, R. Duvigneau, preprint submitted to Comp. Meth. in Appl. Mech. Eng., 2017

Example pic

Density field around an airfoil obtained using cubic NURBS with local refinement.