Email this article Finite-difference method for the stabilization of the solution of the transport equation for an unstable difference scheme
- Authors: Popov I.V.1,2
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Affiliations:
- Keldysh Institute of Applied Mathematics
- National Research Nuclear University MEPhI
- Issue: Vol 52, No 7 (2016)
- Pages: 951-961
- Section: Numerical Methods
- URL: https://journals.rcsi.science/0012-2661/article/view/153945
- DOI: https://doi.org/10.1134/S0012266116070132
- ID: 153945
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Abstract
We present explicit three-layer difference schemes for the transport equation with the use of adaptive artificial viscosity. These schemes have the third-order approximation with respect to time and the first-order approximation with respect to space for the unstable case of forward differences. We compare these schemes with their known analogs on a series of standard tests in various norms.
About the authors
I. V. Popov
Keldysh Institute of Applied Mathematics; National Research Nuclear University MEPhI
Author for correspondence.
Email: popov@imamod.ru
Russian Federation, Moscow; Moscow
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