Transparent boundary conditions for systems of equations of gas dynamics

Computational Mathematics and Mathematical Physics

Volumn 42, Issue 4, 2002, Pages 499-525

  Dorodnitsyn, L V ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

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[No Author keywords available]

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EID: 33746482792     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article

References (32)

1. Ryaben'kii, VS., Exact Transfer of Boundary Conditions, Vychislitel'naya mekhanika deformiruemogo tverdogo tela (Computational Mechanics of Deformable Solids), 1990, issue I, pp. 129-145.
2. Chetverushkin, B.N., Kineticheski-soglasovannye skhemy v gazovoi dinamike: novaya model' vyazkogo gaza, algoritmy, parallel'nay a realizatsiya, prilozheniya (Kinetically Consistent Schemes in Gas Dynamics: A New Model of Viscous Gas, Algorithms, Parallel Implementation, Applications), Moscow: Mosk. Cos. Univ., 1999.
3. Dorodnitsyn, L.V. and Chetverushkin, B.N., On an Implicit Scheme for Subsonic Gas Row Simulation, Mat. Modelirovanie, 1997, vol. 9, no. 5, pp. 108-118.
4. Thompson, K.W., Time-Dependent Boundary Conditions for Hyperbolic Systems, J. Comput. Phys., 1990, vol. 89, no. 2, pp. 439-461.
5. Engquist, B. and Majda, A., Numerical Radiation Boundary Conditions for Unsteady Transonic Flow, J. Comput. Phys., 1981, vol. 40, no. 1, pp. 91 -103.
6. Bayliss, A. and Turkel, E., Far Field Boundary Conditions for Compressible Flows, J. Comput. Phys., 1982 vol. 48, no. 2, pp. 182-199.
7. Givoli, D., Non-Reflecting Boundary Conditions, J. Comput. Phys., 1991, vol. 94, no. 1, pp. 1-29.
8. Giles, M.B., Nonreflecting Boundary Conditions for Euler Equation Calculations, AIAA J., 1990, vol. 28, no. 12, pp. 2050-2058.
9. Poinsot.T.J. and Lele, S.K., Boundary Conditions for Direct Simulations of Compressible Viscous Flows, J. Comput. Phys., 1992, vol. 101, no. 1, pp. 104-129.
10. Tourrette, L., Artificial Boundary Conditions for the Linearized Compressible Navier-Stokes Equations, J. Comput. Phys., 1997, vol. 137, no. 1, pp. 1-37.
11. Dorodnitsyn, L.V., Acoustic Waves and Boundary Conditions in Models of Viscous Subsonic Flows, Preprint Moscow: Dialog-MGU, 1999.
12. Higdon, R.L., Numerical Absorbing Boundary Conditions for the Wave Equation, Math. Comput., 1987, vol 49 pp. 65-90.
13. Ramahi, O.M., Complementary Boundary Operators for Wave Propagation Problems, J. Comput. Phys., 1997 vol. 133, no. I, pp. 113-128.
14. Rowley, C.W. and Colonius, T., Discretely Nonreflecting Boundary Conditions for Linear Hyperbolic Systems J. Comput. Phys., 2000, vol. 157, no. 2, pp. 500-538.
15. Tourrette, L., Artificial Boundary Conditions for the Linearized Compressible Navier-Stokes Equations II The Discrete Approach, J. Comput. Phys., 1998, vol. 144, no. 1, pp. 151-179.
16. Grin', V.T., Kraiko, A.N., and Slavyanov, N.N., Solution of the Problem of Starting Nozzle Located at the End of a Shock Tube, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, 1981, no. 6, pp. 117-123.
17. Fedorchenko, A.T., Problems in Numerical Simulation of Unsteady Multidimensional Viscous Gas Flows in Nozzles, Zh. Vychisl. Mat. Mat. Fiz., 1982, vol. 22, no. 1, pp. 178-196.
18. Fedorchenko, A.T., Nonlinear Models of Sound-Absorbing Boundary Cross Sections for a Calculated Duct Segment, Akust. Zh., 1984, vol. 30, no. 6, pp. 827-833.
19. Pogorelov, N.V. and Semenov, A.Yu., A Modification of Nonreflecting Boundary Conditions for Gas Dynamics Simulations in Astrophysics, Zh. Vychisl. Mat. Mat. Fiz., 1996, vol. 36, no. 3, pp. 135-146.
20. Gustafsson, B. and Sundström, A., Incompletely Parabolic Problems in Fluid Dynamics, SIAM J. Appl. Math., 1978, vol. 35, no. 2, pp. 343-357.
21. Dorodnitsyn, L.V., Acoustics in Viscous Subsonic Flow Models with Nonreflecting Boundary Conditions, Coinput. Math. Modeling, 2000, vol. 11, no. 4, pp. 356-376.
22. Dorodnitsyn, L.V., Acoustic Properties of Continuous and Discrete Models in Fluid Dynamics, Comput. Math. Modeling, 2001, vol. 12, no. 3, pp. 219-242.
23. Higdon, R.L., Absorbing Boundary Conditions for Acoustic and Elastic Waves in Stratified Media, J. Comput. Phys., 1992, vol. 101, no. 3, pp. 219-242.
24. Higdon, R.L., Radiation Boundary Conditions for Dispersive Waves, SIAM J. Numer. Analys., 1994, vol. 31, no. 1, pp. 64-100.
25. Higdon, R.L., Initial-Boundary Value Problems for Linear Hyperbolic Systems, SIAM Rev., 1986, vol. 28, no. 2, pp. 177-217.
26. Engquist, B. and Majda, A., Absorbing Boundary Conditions for the Numerical Simulation of Waves, Math. Comput., 1977, vol. 31, no. 139, pp. 629-651.
27. Whitham, G.B., Linear and Nonlinear Waves, New York: Wiley, 1974.
28. Translated under the title Lineinye i nelineinye volny, Moscow: Mir, 1977.
29. Samarskii, A.A., Teoriya raznostnykh skhem (Theory of Finite-Difference Schemes), Moscow: Nauka, 1983.
30. Tam, C.K.W. and Webb, J.C., Dispersion-Relation-Preserving Finite Difference Schemes for Computational Acoustics, J. Comput. Phys., 1993, vol. 107, no. 2, pp. 262-281.
31. Trefethen, L.N., Group Velocity in Finite Difference Schemes, SIAM Rev., 1982, vol. 24, no. 2, pp. 113-136.
32. Tolstykh, A.I., Kompaktnye raznostnye skhemy i ikh primenenie v zadachakh aerogidrodinamiki (Compact Finite-Difference Schemes and Their Application to Problems in Aerohydrodynamics), Moscow: Nauka, 1990.