3D unstructured mesh ALE hydrodynamics with the upwind discontinuous finite element method

Computer Methods in Applied Mechanics and Engineering

Volumn 158, Issue 1-2, 1998, Pages 81-116

  Kershaw, David S ^a   Prasad, Manoj K ^a   Shaw, Michael J ^a   Milovich, Jose L ^a   Ca, ^a  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; FINITE ELEMENT METHOD; ITERATIVE METHODS; OBJECT ORIENTED PROGRAMMING; PIECEWISE LINEAR TECHNIQUES;

ARBITRARY LAGRANGIAN EULERIAN HYDRODYNAMICS; GODUNOV SCHEME; RUNGE KUTTA METHOD;

HYDRODYNAMICS;

FINITE ELEMENT METHOD; HYDRODYNAMICS; MATHEMATICAL TECHNIQUE;

EID: 0032565528     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(97)00228-4     Document Type: Article

References (24)

1. [1] S.K. Godunov, Mat. Sbornik 4 (1959) 271 [translated as JPRS 7225 (U.S. Department of Commerce, Washington DC, 1960)].
2. [2] B. Cockburn and C.W. Shu, Math. Comput. 52 (1989) 411.
3. [3] B. Cockburn, S.Y. Lin and C.W. Shu, J. Comput. Phys. 84 (1989) 90.
4. [4] B. Cockburn, S. Hou and C.W. Shu, Math. Comput. 54 (1990) 545.
5. [5] P.L. Roe, J. Comput. Phys. 43 (1981) 357.
6. [6] P. Glaister, J. Comput. Phys. 74 (1988) 382.
7. [7] A. Harten, SIAM J. Numer. Anal. 21 (1984) 1.
8. [8] B. van Leer, J. Comput. Phys. 23 (1977) 276.
9. [9] D.S. Kershaw, M.K. Prasad and M.J. Shaw, Lawrence Livermore National Laboratory Report UCRL-JC-122104 1995.
10. 2 AN 25 (1991).
11. [11] G. Chavent and J. Jaffre, Mathematical Models for Finite Elements and Reservoir Simulation (North-Holland, Amsterdam, 1987).
12. [12] A. Harten and G. Zwas, J. Comput. Phys. 6 (1972) 568.
13. [13] G.A. Sod, J. Comput. Phys. 27 (1978) 1.
14. [14] W.H. Noh, Lawrence Livermore National Laboratory Report UCRL-53669, 1985.
15. [15] A.E. Emery, J. Comput. Phys. 2 (1968) 306.
16. [16] P. Woodward and P. Colella, J. Comput. Phys. 54 (1984) 115.
17. [17] J.D. Lindl and W.C. Mead, Phys. Rev. Lett. 34 (1975) 1273.
18. [18] G. Taylor, Proc. R. Soc. London A 201 (1950) 192.
19. [19] S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability (Oxford Press, 1961).
20. [20] J.W. Jacobs and I. Catton, J. Fluid Mech., 187 (1988) 329, 353.
21. [21] M.M. Marinak, R.E. Tipton, B.A. Remington, S.W. Haan and S.V. Weber, Lawrence Livermore National Laboratory Report UCRL-LR-105820-95, 168, 1995.
22. [22] D.S. Miller, Ph.D. Thesis, Convection in Type II Supernovae, University of California-Davis, 1993.
23. [23] K.Y. Choe and K.A. Holsapple, Comput. Methods Appl. Mech. Engrg. 95 (1992) 141-167.
24. [24] K.Y. Choe and K.A. Holsapple, Finite Elem. Anal. Des. 10 (1991) 243-265.