Geodesic
The Design of Univrsal Algorithm Which Implements Inhomogeneous Dirichlet and Neumann Boundary Conditions in Spectral Element Method
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2008), pp. 87-98

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The computation technology in constructing two dimensional viscous fluid dynamics problems by means of spectral element method is described in this paper. The given method allows to find solution of high accuracy on coarse unstructured grids. The universal algorithm for boundary conditions of different types was developed. Testing problems such as lid-driven cavity flow and backward facing step are presented.
Keywords: Spectral elements method, Navier–Stokes equations, unstructured grids
Mots-clés : viscous fluid. 
@article{VTGU_2008_2_a10,
     author = {A. M. Bubenchikov and V. S. Poponin and V. N. Mel'nikova},
     title = {The {Design} of {Univrsal} {Algorithm} {Which} {Implements} {Inhomogeneous} {Dirichlet} and {Neumann} {Boundary} {Conditions} in {Spectral} {Element} {Method}},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {87--98},
     publisher = {mathdoc},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2008_2_a10/}
}
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A. M. Bubenchikov; V. S. Poponin; V. N. Mel'nikova. The Design of Univrsal Algorithm Which Implements Inhomogeneous Dirichlet and Neumann Boundary Conditions in Spectral Element Method. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2008), pp. 87-98. http://geodesic.mathdoc.fr/item/VTGU_2008_2_a10/