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.

A spectral element reduced basis method for navier–stokes equations with geometric variations / Hess, M. W.; Quaini, A.; Rozza, G.. - 134:(2020), pp. 561-571. ((Intervento presentato al convegno 12th International Conference on Spectral and High-Order Methods, ICOSAHOM 2018 tenutosi a London; United Kingdom nel 2018 [10.1007/978-3-030-39647-3_45].

A spectral element reduced basis method for navier–stokes equations with geometric variations

Hess M. W.;Rozza G.
2020

Abstract

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.
Lecture Notes in Computational Science and Engineering
134
561
571
978-3-030-39646-6
978-3-030-39647-3
Springer
Hess, M. W.; Quaini, A.; Rozza, G.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/117815
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