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: New ways of computing the stabilization parameters used in the stabilized finite element methods such as the streamline-upwind/Petrov–Galerkin (SUPG) and pressure-stabilizing/Petrovskiy Galerkins (PSPG) formulations are proposed.
441 citations
01 May 1992
TL;DR: The purpose of these notes is to present recent developments in the unstructured grid generation and flow solution technology.
Abstract: One of the major achievements in engineering science has been the development of computer algorithms for solving nonlinear differential equations such as the Navier-Stokes equations. In the past, limited computer resources have motivated the development of efficient numerical schemes in computational fluid dynamics (CFD) utilizing structured meshes. The use of structured meshes greatly simplifies the implementation of CFD algorithms on conventional computers. Unstructured grids on the other hand offer an alternative to modeling complex geometries. Unstructured meshes have irregular connectivity and usually contain combinations of triangles, quadrilaterals, tetrahedra, and hexahedra. The generation and use of unstructured grids poses new challenges in CFD. The purpose of this note is to present recent developments in the unstructured grid generation and flow solution technology.
440 citations
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TL;DR: In this article, velocity field statistics in the inertial to dissipation range of three-dimensional homogeneous steady turbulent flow are studied using a high-resolution DNS with up to N=10243 grid points.
Abstract: Velocity field statistics in the inertial to dissipation range of three-dimensional homogeneous steady turbulent flow are studied using a high-resolution DNS with up to N=10243 grid points. The range of the Taylor microscale Reynolds number is between 38 and 460. Isotropy at the small scales of motion is well satisfied from half the integral scale (L) down to the Kolmogorov scale (η). The Kolmogorov constant is 1.64±0.04, which is close to experimentally determined values. The third order moment of the longitudinal velocity difference scales as the separation distance r, and its coefficient is close to 4/5. A clear inertial range is observed for moments of the velocity difference up to the tenth order, between 2λ≈100η and L/2≈300η, where λ is the Taylor microscale. The scaling exponents are measured directly from the structure functions; the transverse scaling exponents are smaller than the longitudinal exponents when the order is greater than four. The crossover length of the longitudinal velocity struct...
438 citations
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TL;DR: This work considers the numerical solution of the compressible Reynolds-averaged Navier–Stokes and k–ω turbulence model equations by means of DG space discretization and implicit time integration, and presents the results obtained in the computation of the turbulent flow over a flat plate and the turbulent unsteady wake developing behind a turbine blade.
434 citations
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TL;DR: In this paper, an iterative method to compute the solution of Navier-Stokes and shallow water equations for surface flows and Darcy's equation for groundwater flows is proposed.
433 citations