Adimurthi, . ; Jaffré, Jérôme ; Gowda, G. D. Veerappa (2004) Godunov-Type Methods for Conservation Laws with a Flux Function Discontinuous in Space SIAM Journal on Numerical Analysis, 42 (1). pp. 179-208. ISSN 0036-1429
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Official URL: http://doi.org/10.1137/S003614290139562X
Related URL: http://dx.doi.org/10.1137/S003614290139562X
Abstract
Scalar conservation laws with a flux function discontinuous in space are approximated using a Godunov-type method for which a convergence theorem is proved. The case where the flux functions at the interface intersect is emphasized. A very simple formula is given for the interface flux. A numerical comparison between the Godunov numerical flux and the upstream mobility flux is presented for two-phase flow in porous media. A consequence of the convergence theorem is an existence theorem for the solution of the scalar conservation laws under consideration.Furthermore, for regular solutions, uniqueness has been shown.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Society for Industrial and Applied Mathematics. |
| ID Code: | 119718 |
| Deposited On: | 16 Jun 2021 11:47 |
| Last Modified: | 16 Jun 2021 11:47 |
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