A numerical method for a converging cylindrical shock

1957 ◽  
Vol 2 (2) ◽  
pp. 185-200 ◽  
Author(s):  
R. B. Payne
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Numerical Method ◽  
Compressible Fluid ◽  
Difference Method ◽  
Equations Of Motion ◽  
Symmetric Flow ◽  
Cylindrically Symmetric ◽  
Artificial Diffusion ◽  
The Finite Difference Method

The finite difference method due to Lax (1954) is used to solve the equations of motion for a cylindrically symmetric flow of a compressible fluid. In particular, a converging cylindrical shock is found to increase in strength in agreement with the formula of Chisnell (1957). The artificial diffusion introduced by the method causes the pressure to remain finite at the axis, but a reflected diverging shock is obtained.

Sign in / Sign up

Export Citation Format

Share Document