Name
Abstract | ||
|---|---|---|
In this work, we construct entropy stable schemes for nonlinear degenerate convection-diffusionsystems by extending the theoretical framework introduced by Tadmor for conservation laws.Entropy stable finite difference schemes are developed for systems with viscous terms in both conservative andnonconservative formulations. Extended versions that include extra viscosityare proposed for both formulations in order to prevent the appearance of numerical spurious oscillations atdiscontinuities of the physical solution. Finally, somenumerical simulations are shown in order to illustrate the behavior and accuracy ofthe entropy stable methods for degenerate parabolic problems. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1137/16M1076411 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
degeneratediffusion,convection-diffusionequations,entropystableschemes | Convection–diffusion equation,Degenerate energy levels,Classification of discontinuities,Nonlinear system,Mathematical analysis,Finite difference,Configuration entropy,Mathematics,Conservation law,Parabola | Journal |
Volume | Issue | ISSN |
55 | 1 | 0036-1429 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Silvia Jerez | 1 | 1 | 1.09 |
| Carlos Parés | 2 | 353 | 35.30 |