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.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this paper, a model for the intermittent fine structure of high Reynolds number turbulence is proposed, consisting of slender axially strained spiral vortex solutions of the Navier-Stokes equation.
Abstract: A model for the intermittent fine structure of high Reynolds number turbulence is proposed. The model consists of slender axially strained spiral vortex solutions of the Navier–Stokes equation. The tightening of the spiral turns by the differential rotation of the induced swirling velocity produces a cascade of velocity fluctuations to smaller scale. The Kolmogorov energy spectrum is a result of this model.
539 citations
TL;DR: Comparisons of a semi-implicit and truly incompressible SPH (ISPH) algorithm with the classical WCSPH method are presented, showing how some of the problems encountered inWCSPH have been resolved by using ISPH to simulate incompressable flows.
538 citations
TL;DR: A non-boundary-conforming formulation for simulating complex turbulent flows with dynamically moving boundaries on fixed Cartesian grids is proposed and the concept of field-extension is also introduced to treat the points emerging from a moving solid body to the fluid.
537 citations
TL;DR: In this paper, a numerical method is developed for solving the Navier-Stokes equations in Cartesian domains containing immersed boundaries of arbitrary geometrical complexity moving with prescribed kinematics.
534 citations
TL;DR: Numerical calculations of the 2-D steady incompressible driven cavity flow are presented and comparisons are made with benchmark solutions found in the literature.
Abstract: SUMMARY Numerical calculations of the 2-D steady incompressible driven cavity flow are presented. The NavierStokes equations in streamfunction and vorticity formulation are solved numerically using a fine uniform grid mesh of 601 × 601. The steady driven cavity solutions are computed for Re ≤ 21,000 with a maximum absolute residuals of the governing equations that were less than 10 −10 . A new quaternary vortex at the bottom left corner and a new tertiary vortex at the top left corner of the cavity are observed in the flow field as the Reynolds number increases. Detailed results are presented and comparisons are made with benchmark solutions found in the literature.
531 citations