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- Title
The principle of minimum of partial local variations for determining convective flows in the numerical solution of one-dimensional nonlinear scalar hyperbolic equations.
- Authors
Goloviznin, V.; Kanaev, A.
- Abstract
For the CABARET finite difference scheme, a new approach to the construction of convective flows for the one-dimensional nonlinear transport equation is proposed based on the minimum principle of partial local variations. The new approach ensures the monotonicity of solutions for a wide class of problems of a fairly general form including those involving discontinuous and nonconvex functions. Numerical results illustrating the properties of the proposed method are discussed.
- Subjects
FINITE differences; EQUATIONS; MATHEMATICS; FLUID dynamics; REYNOLDS number; ALGORITHMS
- Publication
Computational Mathematics & Mathematical Physics, 2011, Vol 51, Issue 5, p824
- ISSN
0965-5425
- Publication type
Article
- DOI
10.1134/S0965542511050046