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math.NA2022
Model Reduction Using Sparse Polynomial Interpolation for the Incompressible Navier-Stokes Equations
Martin W. Hess, Gianluigi Rozza
This work investigates the use of sparse polynomial interpolation as a model order reduction method for the incompressible Navier-Stokes equations. Numerical results are presented…
math.NA2020
MicroROM: An Efficient and Accurate Reduced Order Method to Solve Many-Query Problems in Micro-Motility
Nicola Giuliani, Martin W. Hess, Antonio DeSimone +1
In the study of micro-swimmers, both artificial and biological ones, many-query problems arise naturally. Even with the use of advanced high performance computing (HPC), it is not…
math.NA2019
Reduced Basis Model Order Reduction for Navier-Stokes equations in domains with walls of varying curvature
Martin Hess, Annalisa Quaini, Gianluigi Rozza
We consider the Navier-Stokes equations in a channel with a narrowing and walls of varying curvature. By applying the empirical interpolation method to generate an affine parameter…