Full Article - Open Access.

Idioma principal

PRELIMINARY DEVELOPMENTS OF A TWO-FLUID CARTESIAN-GRID EXPLICIT FINITE-VOLUME MODEL FOR MARINE APPLICATIONS

Leroy, C. ; Bigay, P. ; Oger, G. ; Touzé, D. Le ; Alessandrini, B. ;

Full Article:

An explicit Finite Volume method for solving hydrodynamic flows is presented in this paper. These developments are based on an explicit cell-centered scheme solving the compressible fluid equations in a pseudo-compressible strategy where second-order accuracy is provided by using a MUSCL scheme together with various limiters for the hyperbolic part. In this recent model, boundaries are handled through a Cut-Cell method, so that solids as well as fluid interfaces are explicitly moved in a non-diffusive way, ensuring local mass conservation within fluids. An improved cut-cell algorithm based on the Voxel traversal algorithm coupled with a local Floodfill Scanline has been developed, in order to handle boundaries of arbitrary geometrical complexity. To cope with small cells instability problems near the boundaries, a fully conservative merging method is implemented. In this paper, this solver is validated on 2-D hydrodynamic test cases, such as flows past obstacles. Test cases involving large body movement are then performed and discussed. The latter test cases are performed both in the frame of the body and in a fixed frame where the body is moving across the grid. Then, a two-fluid formulation is introduced in the model and described in detail in the present paper. First validations of this two-fluid formulation are eventually presented.

Full Article:

Palavras-chave: Compressible Solver, Two-fluid model, Cartesian grid, Embedded boundary,

Palavras-chave:

DOI: 10.5151/meceng-wccm2012-19959

Referências bibliográficas
  • [1] J.-M. Ghidaglia, A. Kumbaro, G. Le Coq, Une méthode volumes finis à flux caractéristiques pour la résolution numérique des systèmes hyperboliques de lois de conservation, C.R. Acad. Sc. Paris, Vol.322, p. 981–988, (1996).
  • [2] C. Leroy and al., Development of a Cartesian-Grid Finite-Volume Characteristic Flux Model for Marine Applications”, Materials Science and Engineering, Vol 10, (2010).
  • [3] B.V Leer, Towards the ult,mate conservative difference scheme V. A second order sequel to Godunov''s methods, J. Comput Phys. 39, 101-136, (1979)
  • [4] J. P. Vila, “On particle weighted methods and SPH,” Mathematical Models and Methods in Applied Sciences, vol. 9, pp. 161-210, 1999.
  • [5] Le Touzé D., Oger G. Andamp; Alessandrini B., “Smoothed Particle Hydrodynamics simulation of fast ship flows”, Proc. of 27th Symp. on Naval Hydrodynamics (SNH 2008), Seoul, Korea, 2008.
  • [6] A. Kurganov, E Tadmor. Solution of Two-Dimensional Riemann Problems for Gas Dynamics without Riemann Problem Solvers.
  • [7] M. Berger, R. J. Leveque. Stable boundary conditions for Cartesian grid calculations. Computing Systems in Engineering, 1:305-311, 1990.
  • [8] D.M. Ingram, D.M. Causon, C.G. Mingham, Developments in Cartesian cut cell methods, Mathematics and Computers in Simulation 61 (2003) 561–572
  • [9] J. Amanatides, A. Woo. A Fast Voxel Traversal Algorithm for Ray Tracing Dept. of Computer Science University of Toronto , Ontario, Canada.
  • [10] B.V Leer, Towards the ultimate conservative difference scheme V. A second order sequel to Godunov''s methods, JCP, (1979)
  • [11] D.M. Ingram, D.M. Causon, Developments in Cartesian cut cell methods, Mathematics and Computers in Simulation 61 (2003) 561–572
  • [12] J. Amanatides, A. Woo. A Fast Voxel Traversal Algorithm for Ray Tracing Dept. of Computer Science University of Toronto, Canada.
  • [13] Toro, Eleuterio F. (1999). Riemann Solvers and Numerical Methods for Fluid Dynamics. Berlin: Springer Verlag.
  • [14] A. Kurganov, E Tadmor. Solution of Two-Dimensional Riemann Problems for Gas Dynamics without Riemann Problem Solvers.
  • [15] CW Shu, S. Osher, Efficient implementation of essentially non-oscillatory shock-capturing schemes, JCP, 77 (1988), pp. 439-471
  • [16] Coirier, W. J. and Powell, K. G.: An Accuracy Assessment of Cartesian-Mesh Approaches for The Euler Equations, J. Comput. Physics, 117 (1995), pp. 121–131
  • [17] G. Chanteperdrix, Modélisation et simulation numérique d’écoulements diphasiques à interface libre. Application à l’étude des mouvements de liquides dans les réservoirs de véhicules spatiaux., PhD Thesis, Ecole Nationale Supérieure de l’Aéronautique et de l’Espace, 2004.
  • [18] G. Chanteperdrix, J.-L. Estivalezes, Test-case number 34: Two-dimensional sloshing in cavity - an exact solution, 2003. Http://test.interface.free.fr/Case34.pdf.
Como citar:

Leroy, C.; Bigay, P.; Oger, G.; Touzé, D. Le; Alessandrini, B.; "PRELIMINARY DEVELOPMENTS OF A TWO-FLUID CARTESIAN-GRID EXPLICIT FINITE-VOLUME MODEL FOR MARINE APPLICATIONS", p. 4537-4551 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-19959

últimos 30 dias | último ano | desde a publicação


downloads


visualizações


indexações