TY - JOUR T1 - A spectral element reduced basis method for navier–stokes equations with geometric variations JF - Lecture Notes in Computational Science and Engineering Y1 - 2020 A1 - Martin W. Hess A1 - Annalisa Quaini A1 - Gianluigi Rozza AB -

We consider the Navier-Stokes equations in a channel with a narrowing of varying height. The model is discretized with high-order spectral element ansatz functions, resulting in 6372 degrees of freedom. The steady-state snapshot solutions define a reduced order space through a standard POD procedure. The reduced order space allows to accurately and efficiently evaluate the steady-state solutions for different geometries. In particular, we detail different aspects of implementing the reduced order model in combination with a spectral element discretization. It is shown that an expansion in element-wise local degrees of freedom can be combined with a reduced order modelling approach to enhance computational times in parametric many-query scenarios.

VL - 134 ER -