A numerical method for a converging cylindrical shock
- 1 January 1957
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 2 (2) , 185-200
- https://doi.org/10.1017/s0022112057000063
Abstract
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.Keywords
This publication has 6 references indexed in Scilit:
- The motion of a shock wave in a channel, with applications to cylindrical and spherical shock wavesJournal of Fluid Mechanics, 1957
- Weak solutions of nonlinear hyperbolic equations and their numerical computationCommunications on Pure and Applied Mathematics, 1954
- RESEARCHChemical & Engineering News, 1954
- The Production and Stability of Converging Shock WavesJournal of Applied Physics, 1951
- A Method for the Numerical Calculation of Hydrodynamic ShocksJournal of Applied Physics, 1950
- Die ebene laminare Reibungsschicht an einem ZylinderArchiv der Mathematik, 1949