Constrained sparse Galerkin regression [PDF]
Journal of Fluid Mechanics, 2018 The sparse identification of nonlinear dynamics (SINDy) is a recently proposed data-driven modelling framework that uses sparse regression techniques to identify nonlinear low-order models. With the goal of low-order models of a fluid flow, we combine this approach with dimensionality reduction techniques (e.g.
Loiseau, Jean-Christophe +1 more
openaire +6 more sources
Neural Galerkin schemes with active learning for high-dimensional evolution equations [PDF]
Journal of Computational Physics, 2022 Deep neural networks have been shown to provide accurate function approximations in high dimensions. However, fitting network parameters requires informative training data that are often challenging to collect in science and engineering applications ...
Joan Bruna +2 more
semanticscholar +1 more source
Stator elements optimization of centrifugal compressor intermediate type stage by CFD methods [PDF]
E3S Web of Conferences, 2020 Optimal gas-dynamic design is a complex and time-consuming process. Modern CFD methods help in solving optimization problems and reliably calculating characteristics of stator elements of centrifugal compressor stages.
Marenina Lyubov +2 more
doaj +1 more source
Experience of designing a low-pressing turbocharger compressor using the modern version of a Universal modelling method [PDF]
E3S Web of Conferences, 2020 The paper presents the joint experience of the NPO “Turbotekhnika” and the R&D Laboratory “Gas Dynamics of Turbomachines” of SPbPU for designing a centrifugal compressor operating at pressure ratio 1.61 and a mass flow rate of 0.62 kg/s.
Galerkin Yuri +2 more
doaj +1 more source
Mesh sampling and weighting for the hyperreduction of nonlinear Petrov–Galerkin reduced‐order models with local reduced‐order bases [PDF]
International Journal for Numerical Methods in Engineering, 2020 The energy‐conserving sampling and weighting (ECSW) method is a hyper‐reduction method originally developed for accelerating the performance of Galerkin projection‐based reduced‐order models (PROMs) associated with large‐scale finite element models, when
Sebastian Grimberg +3 more
semanticscholar +1 more source
Stochastic Galerkin Methods for the Boltzmann-Poisson system [PDF]
Journal of Computational Physics, 2019 We study the uncertainty quantification for a Boltzmann-Poisson system that models electron transport in semiconductors and the physical collision mechanisms over the charges.
J. Escalante, Clemens Heitzinger
semanticscholar +1 more source
Centrifugal compressor impeller loading factor analysis [PDF]
E3S Web of Conferences, 2019 The loading factor performance modelling is an important part of centrifugal compressor performance calculation. The presented information on model stages’ test data confirms the fact that the loading factor versus flow coefficient at an impeller exit is
Galerkin Y., Drozdov A., Rekstin A.
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New version of Universal modeling method for centrifugal compressors calculation development [PDF]
Омский научный вестник: Серия "Авиационно-ракетное и энергетическое машиностроение", 2019 Similarity theory principles are widely applied in gas dynamic design. But completely new solutions must be realized on a base of engineering approaches to predict performances.
Yu. B. Galerkin, A. A. Drozdov
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Verification of a simplified mathematical model of centrifugal compressor stages [PDF]
E3S Web of Conferences, 2019 To calculate the efficiency of a centrifugal compressor, it is sufficient to know the design parameters and similarity criteria: flow rate coefficient, loading factor, relative hub ratio, Mach number.
Rekstin A. +3 more
doaj +1 more source
Development of mathematical model of Universal modeling method for centrifugal compressors calculation [PDF]
E3S Web of Conferences, 2019 The heart of the Universal modeling engineering method is the physical model that is based on flow visualization and measurements inside rotating impellers. The experience of its application allowed finding ways of mathematical model development.
Galerkin Yuri +3 more
doaj +1 more source