Adimurthi, . ; Kumar Kenettinkara, Sudarshan ; Veerappa Gowda, G. D. (2016) On the convergence of a second order approximation of conservation laws with discontinuous flux Bulletin of the Brazilian Mathematical Society, 47 (1). pp. 21-35. ISSN 1678-7544
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Official URL: http://doi.org/10.1007/s00574-016-0119-0
Related URL: http://dx.doi.org/10.1007/s00574-016-0119-0
Abstract
A second order scheme is constructed for the scalar conservation laws with flux function allowed to be discontinuous in the space variable. The corresponding numerical solutionis shown to converge to the (A,B) entropysolution. Numerical results are presented to validate the convergence analysis. In addition, it is inferred that these numerical solutions are comparable with those obtained using the standard minmod limiter.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer-Verlag. |
| Keywords: | Conservation Laws;Second Order Scheme;Discontinuous Flux;Flux TVD;(A,B) Entropy Solution. |
| ID Code: | 119764 |
| Deposited On: | 17 Jun 2021 04:41 |
| Last Modified: | 17 Jun 2021 04:41 |
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