On the Numerical Solution of the Equations for Spherical Waves of Finite Amplitude, I

1957 ◽  
Vol 36 (1-4) ◽  
pp. 313-328 ◽  
Author(s):  
P. Fox ◽  
A. Ralston
Keyword(s):  
Numerical Solution ◽  
Finite Amplitude ◽  
Spherical Waves

Numerical Solution of Solid Propellant Transient Combustion

1979 ◽  
Vol 101 (2) ◽  
pp. 359-364 ◽  
Author(s):  
D. E. Kooker ◽  
C. W. Nelson
Keyword(s):  
Numerical Solution ◽  
Burning Rate ◽  
Solid Propellant ◽  
External Pressure ◽  
Finite Amplitude ◽  
Stable Model ◽  
Final State ◽  
Numerical Predictions ◽  
Numerical Solution Methods ◽  
Solution Methods

Three thermal theories of solid propellant combustion, [1, 2, 3], all based on the quasi-steady flame assumption, were subjected to a rapidly rising external pressure field simulating a gun combustion chamber. Transient burning rates were computed by four different numerical solution methods; the best results were obtained with an invariant imbedding scheme. The numerical predictions show that (1) burning rate “runaway” is a numerical difficulty and is not a solution to the models, (2) the final state of an intrinsically unstable model at constant pressure is composed of repeating finite-amplitude spikes, and (3) the dynamic burning rate from a linearly-stable model can be many times greater than r = apn.

Finite-amplitude cylindrical and spherical waves in weakly dispersive media

1981 ◽  
Vol 22 (2) ◽  
pp. 206-211 ◽  
Author(s):  
A. A. Dorfman ◽  
E. N. Pelinovskii ◽  
Yu. A. Stepanyants
Keyword(s):  
Finite Amplitude ◽  
Dispersive Media ◽  
Spherical Waves
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