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: This paper presents a critical comparison between two recently proposed discontinuous Galerkin methods for the space discretization of the viscous terms of the compressible Navier–Stokes equations.
Abstract: We present a critical comparison between two recently proposed discontinuous Galerkin methods for the space discretization of the viscous terms of the compressible Navier-Stokes equations. The robustness and accuracy of the two methods has been numerically evaluated by considering simple but well documented classical two-dimensional test cases, including the flow around the NACA0012 airfoil, the flow along a flat plate and the flow through a turbine nozzle
162 citations
••
162 citations
••
TL;DR: In this paper, a single time scale, multiple space scale asymptotic analysis is used to gain insight into the limit behavior of the compressible flow equations as the Mach number vanishes.
161 citations
••
TL;DR: In this article, a class of higher order compact (HOC) schemes with weighted time discretization for the two-dimensional unsteady convection-diffusion equation with variable convection coefficients was developed.
Abstract: A class of higher order compact (HOC) schemes has been developed with weighted time discretization for the two-dimensional unsteady convection-diffusion equation with variable convection coefficients. The schemes are second or lower order accurate in time depending on the choice of the weighted average parameter μ and fourth order accurate in space. For 0.5 ≤ μ ≤ 1, the schemes are unconditionally stable. Unlike usual HOC schemes, these schemes are capable of using a grid aspect ratio other than unity. They efficiently capture both transient and steady solutions of linear and nonlinear convection-diffusion equations with Dirichlet as well as Neumann boundary condition. They are applied to one linear convection-diffusion problem and three flows of varying complexities governed by the two-dimensional incompressible Navier-Stokes equations
160 citations
••
TL;DR: In this article, the authors derived and validated a correlation for the magnitude of these currents as a function of the physical and numerical parameters used in a given simulation, and found that these currents may be limited by both the inertial and viscous terms in the Navier-Stokes equations, and they do not decrease in magnitude with increased mesh refinement or decreased computational time step.
160 citations