A numerical study of riemann problems for the two-dimensional unsteady transonic small disturbance equation

SIAM Journal on Applied Mathematics

Volumn 58, Issue 5, 1998, Pages 1365-1393

  Čanić, Sunčica ^a  

^a IOWA STATE UNIVERSITY   (United States)

Author keywords

Essentially nonoscillatory numerical scheme; Two dimensional riemann problems; Unsteady transonic small disturbance equation

Indexed keywords

MATHEMATICAL MODELS; NUMERICAL METHODS; PROBLEM SOLVING;

RANKINE-HUGONIOT CONDITIONS; RIEMANN PROBLEMS; TWO-DIMENSIONAL BURGERS EQUATION; UNSTEADY TRANSONIC SMALL DISTURBANCE (UTSD) EQUATION;

SHOCK WAVES;

EID: 0032186837     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/s003613999730884x     Document Type: Article

References (4)

1. G. BEN-DOR, Shock Wave Reflection Phenomena, Springer-Verlag, New York, 1992.
2. M. BRIO AND J. K. HUNTER, Mach reflection for the two dimensional Burgers equation, Phys. D, 60 (1992), pp. 194-207.
3. S. ČANIĆ AND B. L. KEVFITZ, An elliptic problem arising from the unsteady transonic small disturbance equation, J. Differential Equations, 125 (1996), pp. 548-574.
4. S. ČANIĆ AND B. L. KEYFITZ, Oblique shock interactions and the von Neumann paradox, in Shock Waves, B. Sturtevant, J. E. Schepherd, and H. G. Hornung, eds., World Scientific, Singapore, 1996, pp. 435-440.