A class of new explicit second order accurate finite difference schemes for the computation of weak solutions of hyperbolic conwhere F is some other function called entropy flux. servation laws is presented. These highly nonlinear schemes are Admissible weak solutions of (1.1) satisfy, in the weak
Approximation of conservation laws by high-resolution difference schemes
β Scribed by V.V. Ostapenko
- Publisher
- Elsevier Science
- Year
- 1990
- Weight
- 767 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0041-5553
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The present paper is a sequel to two previous papers in which rigorous, up to fourth-order, fully discrete (FD) upwind TVD schemes have been presented. In this paper we discuss in detail the extension of these schemes to solutions of non-linear hyperbolic systems. The performance of the schemes is a
This paper was a landmark; it introduced a new design main features of such a flow are recognizable in the numerical results presented. Subsequently, much effort was de-principle-total variation diminishing schemes-that led, in Harten's hands, and subsequently in the hands of others, voted by others
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