A second-order cell-centered Lagrangian scheme for two-dimensional compressible flow problems

International Journal for Numerical Methods in Fluids

Volumn 56, Issue 8, 2008, Pages 1417-1423

  Maire, Pierre Henri ^a   Breil, Jérôme ^a  

^a CENTRE LASERS INTENSES ET APPLICATIONS   (France)

Author keywords

Cell centered Lagrangian scheme; Gas dynamics equations

Indexed keywords

COMPRESSIBLE FLOW; GAS DYNAMICS; LAGRANGE MULTIPLIERS; TWO DIMENSIONAL;

CELL-CENTERED LAGRANGIAN SCHEME; GAS DYNAMICS EQUATION;

COMPUTATIONAL FLUID DYNAMICS;

COMPRESSIBLE FLOW; COMPUTATIONAL FLUID DYNAMICS; GAS DYNAMICS; LAGRANGE MULTIPLIERS; TWO DIMENSIONAL;

EID: 40749149131     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1564     Document Type: Conference Paper

References (8)

1. Caramana EJ, Burton DE, Shashkov MJ, Whalen PP. The construction of compatible hydrodynamics algorithms utilizing conservation of total energy. Journal of Computational Physics 1998; 146:227-262.
2. Loubère R, Shashkov MJ. A subcell remapping method on staggered polygonal grids for arbitrary-Lagrangian-Eulerian methods. Journal of Computational Physics 2005; 209:105-138.
3. Benson DJ. Momentum advection on a staggered mesh. Journal of Computational Physics 1992; 100:143-162.
4. Adessio FL, Carroll DE, Dukowicz JK, Harlow FH, Johnson JN, Kashiwa BA, Maltrud ME, Ruppel HM. CAVEAT. a computer code for fluid dynamics problems with large distortion and internal slip. Report LA-10613-MS, Los Alamos National Laboratory, 1986.
5. Dukowicz JK, Meltz B. Vorticity errors in multidimensional Lagrangian codes. Journal of Computational Physics 1992; 99:115-134.
6. Després B, Mazeran C. Lagrangian gas dynamics in two dimensions and Lagrangian systems. Archive for Rational Mechanics and Analysis 2005; 178:327-372.
7. Abgrall R, Breil J, Maire P-H, Ovadia J. A cell-centered Lagrangian scheme for two-dimensional compressible flow problems. SIAM Journal on Scientific Computing 2007, to appear, http://hal.inria.fr/ inria-00113542.
8. Barth T. Numerical Methods for Conservation Laws on Structured and Unstructured Meshes. VKI Lecture Series, 2003. Available at http:// people.nas.nasa.gov/~barth/vki_1s2003/ barth_2003-vki_lecture_series.pdf.