Solution of two-dimensional vorticity equation on a Lagrangian mesh

AIAA Journal ◽  
2000 ◽  
Vol 38 ◽  
pp. 774-783
Author(s):  
Stephen A. Huyer ◽  
John R. Grant
Keyword(s):  
Vorticity Equation ◽  
Two Dimensional

Solution of Two-Dimensional Vorticity Equation on a Lagrangian Mesh

AIAA Journal ◽  
2000 ◽  
Vol 38 (5) ◽  
pp. 774-783 ◽  
Author(s):  
Stephen A. Huyer ◽  
John R. Grant
Keyword(s):  
Vorticity Equation ◽  
Two Dimensional

scholarly journals Integrals of the Vorticity Equation. Part II: Special Two-Dimensional Flows

2006 ◽  
Vol 63 (2) ◽  
pp. 611-616 ◽  
Author(s):  
Robert Davies-Jones
Keyword(s):  
Shear Flow ◽  
Formal Solution ◽  
Inviscid Flow ◽  
Vorticity Equation ◽  
Two Dimensional ◽  
General Integral ◽  
2D Flow ◽  
Stratified Shear Flow ◽  
Two Dimensional Flows

Abstract In Part I, a general integral of the 2D vorticity equation was obtained. This is a formal solution for the vorticity of a moving tube of air in a 2D unsteady stratified shear flow with friction. This formula is specialized here to various types of 2D flow. For steady inviscid flow, the integral reduces to an integral found by Moncrieff and Green if the flow is Boussinesq and to one obtained by Lilly if the flow is isentropic. For steady isentropic frictionless motion of clear air, several quantities that are invariant along streamlines are found. These invariants provide another way to obtain Lilly’s integral from the general integral.

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