Accurate boundary conditions for exterior problems in gas dynamics

Mathematics of Computation

Volumn 51, Issue 184, 1988, Pages 581-597

  Hagstrom, Thomas ^a,b   Hariharan, S I ^c  

^a STONY BROOK UNIVERSITY   (United States)

^b NASA GLENN RESEARCH CENTER   (United States)

^c UNIVERSITY OF AKRON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84966208877     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1988-0935075-7     Document Type: Article

References (11)

1. A. BAYLISS, & E. TURKEL, "Radiation boundary condition for wave-like equations, " Comm. Pure Appl. Math., v. 33, 1980, pp. 707-723.
2. B. ENGQUIST & A. MAJDA, "Absorbing boundary conditions for the numerical simulation of waves, " Math. Comp., v. 31, 1977, pp. 629-651.
3. B. GUSTAFSSON & H.-O. KREISS, "Boundary conditions for time dependent problems with an artificial boundary, " J. Comput. Phys., v. 30, 1979, pp. 333-351.
4. B. GUSTAFSSON, "Inhomogeneous conditions at open boundaries for wave propagation problems, " Appl. Numer. Math., v. 4, 1988, pp. 3-19.
5. B. GUSTAFSSON, "Far field boundary conditions for time-dependent hyperbolic systems, " SIAM J. Sei. Statist. Comput, 1988. (To appear.)
6. T. HAGSTROM & H. B. KELLER, "Exact boundary conditions at an artificial boundary for partial differential equations in cylinders, " SIAM J. Math. Anal., v. 17, 1986, pp. 322-341.
7. S. I. HARIHARAN & A. BAYLISS, "Radiation of sound from unflanged cylindrical ducts, " SIAM J. Sei. Statist. Comput, v. 6, 1985, pp. 285-296.
8. G. W. HEDSTROM, "Non-reflecting boundary conditions for nonlinear hyperbolic systems, " J. Comput. Phys., v. 30, 1979, pp. 222-237.
9. G. SOD, Numerical Methods in Fluid Dynamics, Cambridge Univ. Press, Cambridge, 1985.
10. K. W. THOMPSON, "Time dependent boundary conditions for hyperbolic systems, " J. Comput. Phys., v. 68, 1987, pp. 1-24.
11. G. B. WHITHAM, Linear and Nonlinear Waves, Wiley, New York, 1974.