Topic
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.
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TL;DR: The unstructured flow solver AVBP of CERFACS is presented and various computational results are presented for a large spectrum of applications ranging from steady-state external aerodynamics to unsteady turbulent flows with and without combustion.
Abstract: The unstructured flow solver AVBP of CERFACS is presented. The basic concepts of the program are described, and various computational results are presented for a large spectrum of applications ranging from steady-state external aerodynamics to unsteady turbulent flows with and without combustion. The code solves the compressible Navier-Stokes equations on hybrid grids of arbitrary cell type. The code is built on a modular software library and has been ported to a wide range of parallel computers.
258 citations
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TL;DR: In this work, a stable proper orthogonal decomposition–Galerkin approximation for parametrized steady incompressible Navier–Stokes equations with low Reynolds number is presented.
Abstract: In this work we present a stable proper orthogonal decomposition (POD)-Galerkin approximation for parametrized steady incompressible Navier-Stokes equations with low Reynolds number. Supremizers solutions are added to the reduced velocity space in order to obtain a stable reduced-order system, considering in particular the fulfillment of an inf-sup condition. The stability analysis is first carried out from a theoretical standpoint, then confirmed by numerical tests performed on a parametrized two-dimensional backward facing step flow.
258 citations
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TL;DR: In this paper, a semi-discretized form of the Navier-Stokes equations in a two-or three-dimensional bounded domain is studied and error estimates for the velocity and the pressure of the classical projection scheme are established via the energy method.
Abstract: In this paper projection methods (or fractional step methods) are studied in the semi-discretized form for the Navier–Stokes equations in a two- or three-dimensional bounded domain. Error estimates for the velocity and the pressure of the classical projection scheme are established via the energy method. A modified projection scheme which leads to improved error estimates is also proposed.
257 citations
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255 citations