Geodesic
Quasi one-dimensional reconstruction scheme on convex polygonal meshes for solving aeroacoustics problems
Matematičeskoe modelirovanie, Tome 25 (2013) no. 9, pp. 95-108

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The article presents a cell-centered variant of the quasi one-dimensional reconstruction scheme for solving hyperbolic systems on unstructured polygonal meshes. Approximation properties of the linear scheme for smooth solutions on a mesh consisting of coinciding cells are studied. Also shown are the results of computational experiments for the linearized Euler equations on various meshes.
Keywords: high-accurancy schemes, unstructured meshes. 
@article{MM_2013_25_9_a8,
     author = {P. A. Bakhvalov},
     title = {Quasi one-dimensional reconstruction scheme on convex polygonal meshes for solving aeroacoustics problems},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {95--108},
     publisher = {mathdoc},
     volume = {25},
     number = {9},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2013_25_9_a8/}
}
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P. A. Bakhvalov. Quasi one-dimensional reconstruction scheme on convex polygonal meshes for solving aeroacoustics problems. Matematičeskoe modelirovanie, Tome 25 (2013) no. 9, pp. 95-108. http://geodesic.mathdoc.fr/item/MM_2013_25_9_a8/