Results 21 to 30 of about 92,046 (236)

Hydrodynamic Flows on Curved Surfaces: Spectral Numerical Methods for Radial Manifold Shapes

, 2018
We formulate hydrodynamic equations and spectrally accurate numerical methods for investigating the role of geometry in flows within two-dimensional fluid interfaces.
Atzberger, Paul J., Gross, Ben J.
core   +1 more source

Hamiltonian structure of thermodynamics with gauge

, 2000
The state of a thermodynamic system being characterized by its set of extensive variables $q^{i}(i=1,...,n) ,$ we write the associated intensive variables $\gamma_{i},$ the partial derivatives of the entropy $ S(q^{1},...,q^{n}) \equiv q_{0},$ in the ...
F- Gif, Orme Des Merisiers, Patrick Valentin, Roger Balian, Yvette Cedex   +4 more
core   +5 more sources

Accelerated Optimization in the PDE Framework: Formulations for the Manifold of Diffeomorphisms [PDF]

SIAM Journal of Imaging Sciences, 2018
We consider the problem of optimization of cost functionals on the infinite-dimensional manifold of diffeomorphisms. We present a new class of optimization methods, valid for any optimization problem setup on the space of diffeomorphisms by generalizing ...
G. Sundaramoorthi, A. Yezzi
semanticscholar   +1 more source

From Lagrangian mechanics to nonequilibrium thermodynamics: a variational perspective

, 2018
In this paper, we survey our recent results on the variational formulation of nonequilibrium thermodynamics for the finite dimensional case of discrete systems as well as for the infinite dimensional case of continuum systems.
Gay-Balmaz, François, Yoshimura, Hiroaki   +1 more
core   +2 more sources

A Theoretical Framework for Lagrangian Descriptors [PDF]

, 2017
This paper provides a theoretical background for Lagrangian Descriptors (LDs). The goal of achieving rigourous proofs that justify the ability of LDs to detect invariant manifolds is simplified by introducing an alternative definition for LDs.
Balibrea-Iniesta, Francisco, García-Garrido, Víctor J., Lopesino, Carlos, Mancho, Ana M., Wiggins, Stephen   +4 more
core   +3 more sources

Efficient aerodynamic shape optimization by using unsupervised manifold learning to filter geometric features

Engineering Applications of Computational Fluid Mechanics
Many aerodynamic shape optimization methods often focus on utilizing the end-to-end relationship between design variables and aerodynamic performance to find the optimal design, while overlooking the exploration of geometric knowledge of the shape itself.
Long Ma, Xiaojing Wu, Wei-Wei Zhang
semanticscholar   +1 more source

RHEA: an open-source Reproducible Hybrid-architecture flow solver Engineered for Academia

Journal of Open Source Software, 2023
The study of complex multiscale flows (Groen et al., 2014), like for example the motion of small-scale turbulent eddies over large aerodynamic structures (Jofre & Doostan, 2022), microconfined high-pressure supercritical fluids for enhanced energy ...
L. Jofre, A. Abdellatif, G. Oyarzun
semanticscholar   +1 more source

Predicting turbulent dynamics with the convolutional autoencoder echo state network

Journal of Fluid Mechanics, 2023
The dynamics of turbulent flows is chaotic and difficult to predict. This makes the design of accurate reduced-order models challenging. The overarching objective of this paper is to propose a nonlinear decomposition of the turbulent state to predict the
A. Racca, N. Doan, L. Magri
semanticscholar   +1 more source

Circulating histones as clinical biomarkers in critically ill conditions

FEBS Letters, EarlyView.
Circulating histones are emerging as promising biomarkers in critical illness due to their diagnostic, prognostic, and therapeutic potential. Detection methods such as ELISA and mass spectrometry provide reliable approaches for quantifying histone levels in plasma samples.
José Luis García‐Gimenez, Juan Carlos Ruiz‐Rodríguez, Ricard Ferrer, Raquel Durá, Antonio Artigas, Iván Bajaña, David Bolado López de Andujar, Irene Cánovas‐Cervera, Adrián Ceccato, Luis Chiscano‐Camón, Elena Climent‐Martinez, Georgia García Fernández, Gemma Goma, Verónica Monforte, Beatriz Quevedo‐Sánchez, Adolf Ruiz‐Sanmartín, Antonio Sierra‐Rivera, Nieves Carbonell Monleón   +17 more
wiley   +1 more source

Swelling of particle-encapsulating random manifolds

, 2008
We study the statistical mechanics of a closed random manifold of fixed area and fluctuating volume, encapsulating a fixed number of noninteracting particles. Scaling analysis yields a unified description of such swollen manifolds, according to which the
D. M. Kroll, Emir Haleva, Haim Diamant, P.-G. de Gennes, S. A. Safran, W. Helfrich   +5 more
core   +1 more source