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Navier–Stokes equations

About: Navier–Stokes equations is a research topic. Over the lifetime, 18180 publications have been published within this topic receiving 552555 citations. The topic is also known as: Navier-Stokes equations.


Papers
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Journal ArticleDOI
TL;DR: New capabilities have been developed for a Navier-Stokes solver to perform steady-state simulations more efficiently and a numerically stable and efficient pseudo-time-marching method is developed for computing steady flows over flexible wings.
Abstract: New capabilities have been developed for a Navier-Stokes solver to perform steady-state simulations more efficiently. The flow solver for solving the Navier-Stokes equations is based on a combination of the lower-upper factored symmetric Gauss-Seidel implicit method and the modified Harten-Lax-van Leer-Einfeldt upwind scheme. A numerically stable and efficient pseudo-time-marching method is also developed for computing steady flows over flexible wings. Results are demonstrated for transonic flows over rigid and flexible wings.

299 citations

Journal ArticleDOI
TL;DR: In this article, a physically consistent method is used for the reconstruction of velocity fluxes which arise from discrete equations for the mass and momentum balances, and a comparison of phase-averaged velocity vectors between measurements and predictions is presented.

298 citations

Journal ArticleDOI
Z.J. Wang1
TL;DR: This article reviews several unstructured grid-based high-order methods for the compressible Euler and Navier–Stokes equations, and presents the basic design principles of each method, and highlights its pros and cons when appropriate.

297 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023183
2022389
2021544
2020509
2019545
2018575