Numerical simulation of incompressible Navier-Stokes and Euler equations to the vortical flow about a delta wing

1997 ◽  
Vol 122 (1-4) ◽  
pp. 21-31 ◽  
Author(s):  
Z. Q. Zhu ◽  
J. B. Jia
Keyword(s):  
Numerical Simulation ◽  
Euler Equations ◽  
Delta Wing ◽  
Vortical Flow ◽  
Navier Stokes

Numerical Investigations for the Effect of Slender Body on Dynamic Rolling Characteristics of a 80°/60° Double Delta Wing

2013 ◽  
Vol 444-445 ◽  
pp. 286-292
Author(s):  
Bing Han ◽  
Min Xu ◽  
Xi Pei ◽  
Xiao Min An
Keyword(s):  
Stokes Equations ◽  
Delta Wing ◽  
Time Lag ◽  
Slender Body ◽  
Vortical Flow ◽  
Navier Stokes ◽  
Rolling Motion ◽  
Navier Stokes Equations ◽  
Lag Effect ◽  
Double Delta Wing

The effect of slender body on the rolling characteristics of a double delta wing is found by comparing the numerical simulation results of the double delta wing and wing-body configuration. The coupled computation system solving the Navier-Stokes equations and the rolling motion equation alternatively to obtain the unsteady vortical flow around the two configurations while rolling. The results conclusively showed the upwash effect of the slender body enhanced the energy of strake vortex and merged vortex.The aerodynamic lag of double delta wing is weak, contrarily, the time lag effect of the wing-body configuration is significant. The asymmetry vortices structure nearby the trailing edge are believed to be the main reason for the unsteady time lag effect.

scholarly journals Embedded direct numerical simulation for aeronautical CFD

2001 ◽  
Vol 105 (1046) ◽  
pp. 193-198 ◽  
Author(s):  
N. D. Sandham ◽  
M. Alam ◽  
S. Morin
Keyword(s):  
Numerical Simulation ◽  
Direct Numerical Simulation ◽  
Euler Equations ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Modified Equations ◽  
Separation Bubbles

Abstract A method is proposed by which a direct numerical simulation of the compressible Navier-Stokes equations may be embedded within a more general aeronautical CFD code. The method may be applied to any code which solves the Euler equations or the Favre-averaged Navier-Stokes equations. A formal decomposition of the flowfield is used to derive modified equations for use with direct numerical simulation solvers. Some preliminary applications for model flows with transitional separation bubbles are given.

High-resolution Navier-Stokes computation of vortical flow over a supersonic delta wing

AIAA Journal ◽  
1994 ◽  
Vol 32 (8) ◽  
pp. 1733-1735 ◽  
Author(s):  
C. H. Tai ◽  
C. Y. Soong ◽  
S. L. Yin
Keyword(s):  
High Resolution ◽  
Delta Wing ◽  
Vortical Flow ◽  
Navier Stokes

Instantaneous three-dimensional vorticity measurements in vortical flow over a delta wing

AIAA Journal ◽  
1997 ◽  
Vol 35 ◽  
pp. 1612-1620
Author(s):  
A. Honkan ◽  
J. Andreopoulos
Keyword(s):  
Delta Wing ◽  
Three Dimensional ◽  
Vortical Flow

scholarly journals Circulation and Energy Theorem Preserving Stochastic Fluids

2019 ◽  
Vol 150 (6) ◽  
pp. 2776-2814 ◽  
Author(s):  
Theodore D. Drivas ◽  
Darryl D. Holm
Keyword(s):  
Variational Principle ◽  
Energy Conservation ◽  
Euler Equations ◽  
Navier Stokes ◽  
Fluid Models ◽  
Smooth Solutions ◽  
Stochastic Fluid Models ◽  
Natural Extensions ◽  
Stochastic Fluid ◽  
Incompressible Euler

AbstractSmooth solutions of the incompressible Euler equations are characterized by the property that circulation around material loops is conserved. This is the Kelvin theorem. Likewise, smooth solutions of Navier–Stokes are characterized by a generalized Kelvin's theorem, introduced by Constantin–Iyer (2008). In this note, we introduce a class of stochastic fluid equations, whose smooth solutions are characterized by natural extensions of the Kelvin theorems of their deterministic counterparts, which hold along certain noisy flows. These equations are called the stochastic Euler–Poincaré and stochastic Navier–Stokes–Poincaré equations respectively. The stochastic Euler–Poincaré equations were previously derived from a stochastic variational principle by Holm (2015), which we briefly review. Solutions of these equations do not obey pathwise energy conservation/dissipation in general. In contrast, we also discuss a class of stochastic fluid models, solutions of which possess energy theorems but do not, in general, preserve circulation theorems.

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