Zobrazeno 1 - 10
of 70
pro vyhledávání: '"Blonigan, Patrick"'
The solution of conservation laws with parametrized shock waves presents challenges for both high-order numerical methods and model reduction techniques. We introduce an r-adaptivity scheme based on optimal transport and apply it to develop reduced o
Externí odkaz:
http://arxiv.org/abs/2310.07951
Projection-based model order reduction on nonlinear manifolds has been recently proposed for problems with slowly decaying Kolmogorov n-width such as advection-dominated ones. These methods often use neural networks for manifold learning and showcase
Externí odkaz:
http://arxiv.org/abs/2303.09630
This work aims to advance computational methods for projection-based reduced order models (ROMs) of linear time-invariant (LTI) dynamical systems. For such systems, current practice relies on ROM formulations expressing the state as a rank-1 tensor (
Externí odkaz:
http://arxiv.org/abs/2009.11742
This work introduces Pressio, an open-source project aimed at enabling leading-edge projection-based reduced order models (ROMs) for large-scale nonlinear dynamical systems in science and engineering. Pressio provides model-reduction methods that can
Externí odkaz:
http://arxiv.org/abs/2003.07798
Autor:
Blonigan, Patrick J., Parish, Eric J.
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 May 2023 409
Publikováno v:
Physical Review FLUIDS 4, 044606 (2019)
We derive precursors of extreme dissipation events in a turbulent channel flow. Using a recently developed method that combines dynamics and statistics for the underlying attractor, we extract a characteristic state that precedes laminarization event
Externí odkaz:
http://arxiv.org/abs/1807.10263
Autor:
Blonigan, Patrick J., Wang, Qiqi
Sensitivity analysis methods are important tools for research and design with simulations. Many important simulations exhibit chaotic dynamics, including scale-resolving turbulent fluid flow simulations. Unfortunately, conventional sensitivity analys
Externí odkaz:
http://arxiv.org/abs/1704.02047
Autor:
Blonigan, Patrick J., Fernandez, Pablo, Murman, Scott M., Wang, Qiqi, Rigas, Georgios, Magri, Luca
Adjoint-based sensitivity analysis methods are powerful tools for engineers who use flow simulations for design. However, the conventional adjoint method breaks down for scale-resolving simulations like large-eddy simulation (LES) or direct numerical
Externí odkaz:
http://arxiv.org/abs/1702.06809
Publikováno v:
In Computer Methods in Applied Mechanics and Engineering 1 October 2021 384
For a parameterized hyperbolic system $\frac{du}{dt}=f(u,s)$ the derivative of the ergodic average $\langle J \rangle = \lim_{T \to \infty}\frac{1}{T}\int_0^T J(u(t),s)$ to the parameter $s$ can be computed via the Least Squares Shadowing algorithm (
Externí odkaz:
http://arxiv.org/abs/1509.02882