A front tracking method on unstructured grids

Computers and Fluids

Volumn 32, Issue 4, 2003, Pages 547-570

  Gloth, O ^a   Hanel D ^a   Tran, L ^a   Vilsmeier, R ^a  

^a UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

Flux separation scheme; Front tracking; Local level set; Unstructured grids

Indexed keywords

LEAST SQUARES APPROXIMATIONS; SET THEORY; SHOCK WAVES;

UNSTRUCTURED GRIDS;

COMPUTATIONAL FLUID DYNAMICS;

COMPUTER MODELING; FINITE VOLUME TECHNIQUE; FLOW MODELING; SHOCK WAVE;

EID: 0037405215     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7930(02)00014-2     Document Type: Article

References (22)

1. Roe PL. Approximate Riemann solvers, parameter vectors and difference schemes. J Comput Phys 1981;43:357-72.
2. Liou M-S. On a new class of flux splitting schemes. In: Lecture notes in physics, vol. 414. Berlin: Springer Verlag; 1992. p. 115-9.
3. Richtmyer R, Morton K. Difference methods for initial value problems. New York: Interscience; 1967.
4. Moretti G. A technique for integrating two-dimensional Euler equations. Comput Fluids 1987;15:59-75.
5. Leveque RJ, Shyue KM. Two-dimensional front tracking based on high resolution wave propagation methods. J Comput Phys 1996;123:354-61.
6. Smiljanovski V, Moser V, Klein R. A capturing-tracking hybrid scheme for deflagration discontinuities. Comb Theory Modell 1997;1:183-215.
7. Glimm J, Klingenberg C, Mc Bryan O, Plohr P, Sharp D, Yaniv S. Front tracking and two-dimensional Riemann problems. Adv Appl Math 1985;6:259-90.
8. Mao D. A treatment of discontinuities for finite difference methods in the two-dimensional case. J Comput Phys 1993;104:377-97.
9. van Rosendale J. Floating shock fitting via Lagrangian adaptive meshes. ICASE Report 1994; NASA Langley.
10. Chu BT, Kovasznay LSG. Non-linear interactions in a viscous heat-conducting compressible gas. J Fluid Mech 1958;3:494-505.
11. Osher S, Sethian JA. Fronts propagating with curvature dependent speed: algorithms based on Hamilton-Jacobi formulations. J Comput Phys 1998;79:12-49.
12. Sethian AJ. Level set methods and fast marching methods: evolving interfaces in computational geometry, fluid mechanics, computer vision and materials science. Cambridge: Cambridge University Press; 1999.
13. Mulder M, Osher S, Sethian JA. Computing interface motion in compressible gas dynamics. J Comput Phys 1992;100:209-31.
14. Sussman M, Smereka P, Osher S. A level set approach for computing solutions to incompressible two-phase flow. J Comput Phys 1994;114:146-58.
15. Dekena M, Peters N. Combustion modeling with the G-equation. Oil and Gas Science and Technology-Review 1999;IFP 54:265-70.
16. Barth TJ, Sethian JA. Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains. J Comput Phys 1998;145:1-40.
17. Hänel D, Dervieux A, Vilsmeier R, Gloth O, Viozat C, Fournier I. Development of Navier-Stokes Solvers on hybrid grids. In: Hirschel EH, editor. Numerical Flow Simulation I. Notes on numerical fluid mechanics, vol. 66. Wiesbaden: Vieweg Verlag; 1998. p. 89-111.
18. Gloth O, Hänel D, Vilsmeier D. An object oriented framework for finite volume applications. In: Proceedings of the International Workshop on Modern Software Tools for Scientific Computing. (SciTools 98), Oslo, 1998. Electronic paper: http://www.vug.uni-duisburg.de/˜oliver/scitools98.
19. MOUSE-an object oriented framework for finite volume computations. Institute of Combustion and Gasdynamics, University of Duisburg; 2000. Download version: http://www.vug.uni-duisburg.de/MOUSE.
20. Smiljanovski V. Ein numerisches Verfahren zur Berechnung schneller Vormischflammen und der Deflagrations-Detonations-Transition (DDT). Dissertation an der RWTH Aachen, 1996.
21. Fedkiv R, Aslam T, Merriman B, Osher S. A non-oscillatory Eulerian approach to interfaces in multimaterial flows. J Comput Phys 1999;152:457-92.
22. Mao D. A treatment of discontinuities for finite difference methods. J Comput Phys 1992;103:359-69.