On a reformulation of Navier–Stokes equations based on Helmholtz–Hodge decomposition-Reference-Cited by-同舟云学术

On a reformulation of Navier–Stokes equations based on Helmholtz–Hodge decomposition

Published:2021-06 Issue:6 Volume:33 Page:063605
ISSN:1070-6631
Container-title:Physics of Fluids
language:en
Short-container-title:Physics of Fluids

Author:

Caltagirone Jean-Paul¹^ORCID

Affiliation:

1. Bordeaux INP, University of Bordeaux, CNRS UMR-5295, Arts et Métiers Institute of Technology, INRAE, I2M Bordeaux, 33400 Talence, France

Publisher

AIP Publishing

Subject

Condensed Matter Physics,Fluid Flow and Transfer Processes,Mechanics of Materials,Computational Mechanics,Mechanical Engineering

Link

https://aip.scitation.org/doi/pdf/10.1063/5.0053412

Reference32 articles.

1. A fast vector penalty-projection method for incompressible non-homogeneous or multiphase Navier–Stokes problems

2. J. Bonelle , “ Compatible discrete operator schemes on polyhedral meshes for elliptic and Stokes equations,” Ph.D. thesis ( Université Paris-Est, 2014).

3. Low-order reconstruction operators on polyhedral meshes: application to compatible discrete operator schemes

4. Analysis of compatible discrete operator schemes for the Stokes equations on polyhedral meshes

5. Discrete Mechanics

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Cubic and quartic hyperbolic B-splines comparison for coupled Navier Stokes equation via differential quadrature method - A statistical aspect;Computers & Mathematics with Applications;2024-10

2. An alternative to the Navier–Stokes equation based on the conservation of acceleration;Journal of Fluid Mechanics;2024-01-05

3. Modeling capillary flows by conservation of acceleration and surface energy;International Journal of Multiphase Flow;2024-01

4. Smooth transformations and ruling out closed orbits in planar systems;Chaos: An Interdisciplinary Journal of Nonlinear Science;2023-12-01

5. Conservation of acceleration and dynamic entanglement in mechanics;Acta Mechanica;2023-08-16