A staggered scheme for hyperbolic conservation laws applied to unsteady sheet cavitation

Computing and Visualization in Science

Volumn 2, Issue 2-3, 1999, Pages 63-68

  Van Der Heul, D R ^a   Vuik, C ^a   Wesseling, P ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

CAVITATION; NONLINEAR EQUATIONS; PHYSICAL PROPERTIES;

EQUATION OF STATE; HYPERBOLIC CONSERVATION LAWS; HYPERBOLIC SYSTEMS OF CONSERVATION LAWS; INTERFACE TRACKING METHOD; LOSS OF ACCURACY; NONCONVEX EQUATION OF STATE; SHEET CAVITATION; STAGGERED SCHEMES;

EQUATIONS OF STATE;

EID: 0002425132     PISSN: 14329360     EISSN: 14330369     Source Type: Journal    
DOI: 10.1007/s007910050028     Document Type: Conference Paper

References (13)

1. Bijl, H., Wesseling, P.: A unified method for computing incompressible and compressible flows in boundary fitted coordinates. J. Comput. Phys. 141, 153-173 (1998)
2. Brent, R.P.: Algorithms for Minimization without Derivatives. Prentice-Hall series in automatic computation. Prentice-Hall: Englewood Cliffs 1973
3. Chen, Y., Heister, S.D.: A numerical treatment for attached cavitation. J. Fluids Eng. 116, 613-618 (1994)
4. de Lange, D.F.: Observation and Modelling of Cloud Formation behind a Sheet Cavity. PhD thesis, Universiteit Twente 1996
5. Dellanoy, Y., Kueny, J.L.: Two phase flow approach in unsteady cavitation modelling. In Furuya, O., (ed). Cavitation and Multiphase Flow. FED-98, pp. 153-158. American Society of Mechanical Engineers 1990
6. Dellanoy, Y.: Modélastion d' écoulements instationnaires et cavitants. PhD thesis. INPG Grenoble 1989
7. Deshpande, M., Feng, J., Merkle, C.L.: Cavity flow predictions based on the Euler equations. J. Fluids Eng. 116(1), 36-44 (1994)
8. Janssens, M.: Calculations of unsteady attached cavitation. Master's thesis. Delft University of Technology 1996
9. Lanzenberger, K.: Numerische und Analytische Ansätze zur Simulation kavitierender Strömungen. PhD thesis. Fakultät für Machinenbau. Universität Karlsruhe 1995
10. Menikoff, R., Plohr, B.J.: The Riemann problem for fluid flow of real materials. Rev. Modern Phys. 61(1), 75-130 (1989)
11. Merkle, C.L., Feng, J.Z., Buelow, P.E.O.: Computational modelling of the dynamics of sheet cavitation. In Michel, J.M., Kato, H. (eds). Third International Symposium on Cavitation. Vol. 2, pp. 307-311 (1998)
12. Osher, S., Solomon, F.: Upwind difference schemes for hyperbolic systems of conservation laws. Math. Comp. 38, 339-374 (1982)
13. Wendroff, B.: The Riemann problem for materials with non-convex equations of state I: Isentropic flow. J. Math. Anal. Appl. 38, 454-466 (1972)