- Katz, Ira M. and Shaughnessy, Edward J., Equations of 1-D compressible flow with area change in a Lagrangian particle description,
Computers & Fluids, vol. 18 no. 2
pp. 183 - 190 [0045-7930(90)90018-S] .
(last updated on 2007/04/06)
The equations for one-dimensional compressible flow with area change are derived in the Lagrangian particle description for the first time. A simple finite difference code based on the α method is used to obtain the solution for three problems; the passage of a rarefaction wave through an area reduction and an area enlargement, and the passage of a shock wave through an area enlargement. Results are presented in the form of Lagrangian particle trajectories as well as spatial distributions of pressure, velocity and density.
Shock Waves;Mathematical Techniques--Finite Difference Method;