We propose a 1D adaptive numerical scheme for hyperbolic conservation laws based on the numerical density of entropy production (the amount of violation of the theoretical entropy inequality). This density is used as an a posteriori error which provides information if the mesh should be refined in the regions where discontinuities occur or coarsened in the regions where the solution remains smooth. As due to the Courant-Friedrich-Levy stability condition the time step is restricted and leads to...
This paper is devoted to the numerical simulation of wave breaking. It presents the results of a numerical workshop that was held during the conference LOMA04. The objective is to compare several mathematical models (compressible or incompressible) and associated numerical methods to compute the flow field during a wave breaking over a reef. The methods will also be compared with experiments.
This paper is devoted to the numerical simulation of wave
breaking. It presents the results of a numerical workshop that was
held during the conference LOMA04. The objective is to compare
several mathematical models (compressible or incompressible) and
associated numerical methods to compute the flow field during a
wave breaking over a reef. The methods will also be compared with
experiments.
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