Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We develop a new multidimensional finite-volume algorithm for transport equations. This algorithm is both stable and non-dissipative. It is based on a reconstruction of the discrete solution inside each cell at every time step. The proposed reconstruction, which is genuinely multidimensional, allows recovering sharp profiles in both the direction of the transport velocity and the transverse direction. It constitutes an extension of the one-dimensional reconstructions analyzed in (Lagoutière, 2005; Lagoutière 2006)
Wydawca
Rocznik
Tom
Numer
Strony
321-328
Opis fizyczny
Daty
wydano
2007
Twórcy
autor
- Commissariat à l'Énergie Atomique, DIF/DSSI, 91680 Bruyères-le-Châtel, France
autor
- Université Paris-VII and Laboratoire Jacques-Louis Lions, UMR 7598, rue du Chevaleret, 75013 Paris, France
Bibliografia
- Després B. and Lagoutière F. (2001): Generalized Harten formalism and longudinal variation diminishing schemes for linear advection on arbitrary grids. ESAIM: Mathematical Modelling and Numerical Analysis, Vol.35, No.6, pp.1159-1183.
- Després B. and Lagoutière F. (2001): Contact discontinuity capturing schemes for linear advection and compressible gasdynamics. Journal of Scientific Computing. Vol.16, No.4, pp.479-524.
- Després B. and Lagoutière F. (2007): Numerical resolution of a two-componentcompressible fluid model with interfaces. Progress in Computational Fluid Dynamics, (to appear).
- Lagoutière F. (2005): Stability of reconstruction schemes for scalar hyperbolic conservationlaws. Preprint available at http://www.ann.jussieu.fr/publications/2005/R05004.html.
- Lagoutière F. (2006): Non-dissipative reconstruction schemes satisfying entropy inequalities. Preprint available at tt http://www.ann.jussieu.fr/publications/2006/R06017.html.
- Mosso S. and Cleancy S. (1995): A geometrical derived priority system for Young's interface reconstruction. Technical Report No.LA-CP-95-0081, Los Alamos National Laboratory.
- Noh W.F. and Woodward P.R. (1976): SLIC (Simple Line Interface Calculation). Lecture Notes in Physics, Vol.25, Berlin: Springer, pp.330-339.
- Youngs D.L. (1984): An interface tracking method for a 3D eulerian hydrodynamics code. Technical Report No.44/92/35, A.W.R.E. Aldermaston.
- Zalesak S.T. (1979): Fully multidimensional flux-corrected transport algorithms for fluids. Journal of Computational Physics, Vol.31, No.3, pp.335-362
Typ dokumentu
Bibliografia
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Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv17i3p321bwm