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.
CITATION STYLE
Hess, M. W., Quaini, A., & Rozza, G. (2020). A spectral element reduced basis method for navier–stokes equations with geometric variations. In Lecture Notes in Computational Science and Engineering (Vol. 134, pp. 561–571). Springer. https://doi.org/10.1007/978-3-030-39647-3_45
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