Two-dimensional central-upwind schemes for curvilinear grids and application to gas dynamics with angular momentum

Computer Physics Communications

Volumn 180, Issue 11, 2009, Pages 2283-2302

  Illenseer, Tobias F ^a   Duschl, Wolfgang J ^a,b  

^a UNIVERSITY OF KIEL   (Germany)

^b UNIVERSITY OF ARIZONA   (United States)

Author keywords

Central upwind schemes; Conservation of angular momentum; Euler equations; Finite volume methods; Two dimensional conservation laws

Indexed keywords

CENTRAL SCHEME; CENTRAL-UPWIND SCHEME; CENTRAL-UPWIND SCHEMES; CONSERVATION LAW; CURVILINEAR GRIDS; HYPERBOLIC CONSERVATION LAWS; INVISCID GAS; NON-CARTESIAN; NUMERICAL FLUX FUNCTIONS; ORTHOGONAL CURVILINEAR COORDINATES; SECOND ORDERS; SOURCE TERMS; TEST PROBLEM; TWO-DIMENSIONAL CONSERVATION LAWS; TWO-DIMENSIONAL EULER EQUATIONS; VOLUME CHANGE;

ANGULAR MOMENTUM; DIFFERENTIAL EQUATIONS; FINITE VOLUME METHOD; GAS DYNAMICS; TWO DIMENSIONAL;

EULER EQUATIONS;

EID: 70149119877     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2009.07.016     Document Type: Article

References (36)

1. Kurganov A., and Tadmor E. Numer. Methods Partial Differential Equations 18 (2002) 584
2. Godunov S.K. Math. Sb. 47 (1959) 271
3. Kurganov A., and Tadmor E. J. Comput. Phys. 160 (2000) 241
4. van Leer B. J. Comput. Phys. 23 (1977) 276 (A new approach to numerical convection)
5. Harten A. J. Comput. Phys. 49 (1983) 357
6. Harten A., Lax P.D., and van Leer B. SIAM Rev. 25 (1983) 35
7. Sweby P.K. SIAM J. Numer. Anal. 21 (1984) 995
8. van Leer B. MUSCL, a new approach to numerical gas dynamics. Computing in Plasma Physics and Astrophysics (1976), Max-Planck-Gesellschaft, Max-Planck-Institut für Plasmaphysik, Garching, Germany E1
9. Mönchmeyer R., and Müller E. Astron. Astrophys. 217 (1989) 351
10. Lufkin E.A., and Hawley J.F. Astrophys. J. Suppl. 88 (1993) 569
11. Kurganov A., Noelle S., and Petrova G. SIAM J. Sci. Comput. 23 (2001) 707
12. Hirsch C. Fundamentals of Numerical Discretization. Numerical Computation of Internal and External Flows vol. 1 (1988), John Wiley & Sons, Chichester, UK
13. Kurganov A., and Lin C.T. Commun. Comput. Phys. 2 (2007) 141
14. Greenberg J.M., and Leroux A.Y. SIAM J. Numer. Anal. 33 (1996) 1
15. LeVeque R.J. J. Comput. Phys. 146 (1998) 346
16. Shu C.W. SIAM J. Sci. Stat. Comput. 9 (1988) 1073
17. Shu C.W., and Osher S. J. Comput. Phys. 77 (1988) 439
18. van Leer B. J. Comput. Phys. 32 (1979) 101 (A second-order sequel to Godunov's method)
19. Schulz-Rinne C.W., Collins J.P., and Glaz H.M. SIAM J. Sci. Comput. 14 (1993) 1394
20. Lax P.D., and Liu X.-D. SIAM J. Sci. Comput. 19 (1998) 319
21. Courant R., Friedrichs K., and Lewy H. IBM J. Res. Dev. 11 (1967) 215 (Engl. translation of [36])
22. Langseth J.O., and LeVeque R.J. J. Comput. Phys. 165 (2000) 126
23. Norman L.M., Wilson J.R., and Barton R.T. Astrophys. J. 239 (1980) 968
24. Gel'fand I.M., and Shilov G.E. Properties and Operations. Generalized Functions vol. 1 (1964), Academic Press, New York
25. Lord Rayleigh J.W.S. Investigation of the character of the equilibrium of an incompressible heavy fluid of variable density. Proc. Lond. Math. Soc. 14 (1882) 170-177
26. Taylor G.I.S. Proc. R. Soc. Lond. A 201 (1950) 192
27. Stone J.M., and Norman M.L. ZEUS-2D V2.0.3 (1995). http://lca.ucsd.edu/portal/codes/zeus2d
28. Stone J.M., and Norman M.L. Astrophys. J. Suppl. 80 (1992) 753
29. Norman M.L., and Winkler K.-H.A. 2-D Eulerian hydrodynamics with fluid interfaces, self-gravity and rotation. Astrophysical Radiation Hydrodynamics (1986), D. Reidel 187-221
30. von Neumann J., and Richtmyer R.D. J. Appl. Phys. 21 (1950) 232
31. Tscharnuter W.M., and Winkler K.-H.A. Comput. Phys. Comm. 18 (1979) 171
32. Abramowitz M., and Stegun I.A. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Applied Mathematics Series vol. 55 (1964), National Bureau of Standards, US Gov. Print. Office, Washington, DC
33. Balbás J., Tadmor E., and Wu C.-C. J. Comput. Phys. 201 (2004) 261
34. Balbás J., and Tadmor E. SIAM J. Sci. Comput. 28 (2006) 533
35. Illenseer T.F. Fosite software (2007). http://fosite.sourceforge.net
36. Courant R., Friedrichs K., and Lewy H. Math. Ann. 100 (1928) 32