Application of front tracking to two dimensional curved detonation fronts

Technical Report · Sat Jun 01 04:00:00 EDT 1985

OSTI ID:5470817

Bukiet, B

The method of front tracking is applied to cylindrically symmetric detonations. This two dimensional method is compared to a one dimensional random choice computation in the radial direction which explicitly utilizes the symmetry of the problem. The model of detonations is the Chapman-Jouguet thin flame model. The random choice computation gives a solution of high accuracy of these model equations and is thus taken as exact. We present results demonstrating the high quality of the front tracking solution, even on coarse grids. The solution at the front and in the interior converges linearly to the exact solution. The computation in the interior used a second order method (Lax-Wendroff) and the linear convergence appears to result from the fact that the solution in the interior (i.e. excluding discontinuities) is C/sup 1/ but not C/sup 2/. This is due to ''corners'' in the solution, located at the edges of a rarefaction wave. 7 refs., 12 figs.

• Research Organization: New York Univ., NY (USA). Courant Mathematics and Computing Lab.
• DOE Contract Number: AC02-76ER03077
• OSTI ID: 5470817
• Report Number(s): DOE/ER/03077-261; ON: DE85016183
• Country of Publication: United States
• Language: English

Related Subjects

640410* -- Fluid Physics-- General Fluid Dynamics
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CONFIGURATION
CYLINDRICAL CONFIGURATION
DETONATION WAVES
EXPLOSIONS
MATHEMATICAL MODELS
SHOCK WAVES
SYMMETRY
TWO-DIMENSIONAL CALCULATIONS