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DOE OSTI · 1837417

Hierarchical model reduction driven by a proper orthogonal decomposition for parametrized advection-diffusion-reaction problems

Lupo Pasini, Massimiliano·Perotto, Simona
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Abstract

This work combines the Hierarchical Model (HiMod) reduction technique with a standard Proper Orthogonal Decomposition (POD) to solve parametrized partial differential equations for the modeling of advection-diffusion-reaction phenomena in elongated domains (e.g., pipes). This combination leads to what we define as HiPOD model reduction, which merges the reliability of HiMod reduction with the computational efficiency of POD. Two HiPOD techniques are presented and assessed by an extensive numerical verification.

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97 MATHEMATICS AND COMPUTINGfinite elementshierarchical model reductionparametric partial differential equationsproper orthogonal decompositionspectral methods

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Lupo Pasini, Massimiliano, Perotto, Simona. 2021-12-17. Hierarchical model reduction driven by a proper orthogonal decomposition for parametrized advection-diffusion-reaction problems. https://doi.org/10.1553/etna_vol55s187

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