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- Title
Third-order accurate finite-volume method on a triangular grid.
- Authors
Shirobokov, D.
- Abstract
A third-order accurate finite-volume method on triangular grids is proposed for the numerical solution of conservation law systems. The method is described in detail as applied to the advection equation. The accuracy of its numerical solutions obtained on grids of various degrees of detail is compared. The viscous flow over a plate and the unsteady flow around a cylinder are solved. For comparison purposes, the latter problem is also solved using third- and fifth-order accurate compact approximations.
- Subjects
NAVIER-Stokes equations; CONSERVATION laws (Mathematics); GEOMETRY; POLYNOMIALS; INTEGRALS
- Publication
Computational Mathematics & Mathematical Physics, 2011, Vol 51, Issue 10, p1805
- ISSN
0965-5425
- Publication type
Article
- DOI
10.1134/S0965542511100125