Context-free grammars to detect straight segments and a novel polygonal approximation method

2021 ◽  
Vol 91 ◽  
pp. 116080
Author(s):  
Osvaldo A. Tapia-Dueñas ◽  
Hermilo Sánchez-Cruz
Keyword(s):  
Approximation Method ◽  
Polygonal Approximation ◽  
Straight Segments ◽  
Context Free ◽  
Context Free Grammars

Polygonal Approximation Method in the Hodograph Plane

1949 ◽  
Vol 16 (2) ◽  
pp. 123-133
Author(s):  
H. Poritsky
Keyword(s):  
Fluid Flow ◽  
Approximation Method ◽  
Applied Mechanics ◽  
Polygonal Approximation ◽  
Physical Plane ◽  
Flow Equations ◽  
Hodograph Plane ◽  
Superposition Of Solutions ◽  
Sixth International

Abstract This paper extends the discussion of the approximate method of integrating the equations of compressible fluid flow in the hodograph plane first presented by the author before the Sixth International Congress of Applied Mechanics, Paris, France, September, 1948. As an introduction to the discussion of the polygonal approximation method, fundamental fluid-flow equations are reviewed briefly. Determination of the flow function ψ by the “Method of Reflections” is described and an application of the method illustrated. How flow in the physical plane can be determined by superposition of solutions discussed is shown for the simpler incompressible case.

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