Journal
JOURNAL OF SCIENTIFIC COMPUTING
Volume 20, Issue 1, Pages 69-113Publisher
KLUWER ACADEMIC/PLENUM PUBL
DOI: 10.1023/A:1025898429710
Keywords
Lifshitz-Slyozov system; coagulation-fragmentation models; phase transition; WENO schemes; conservation laws
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Funding
- ICREA Funding Source: Custom
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We numerically investigate the long time behavior of solutions of the Lifshitz-Slyozov system. We propose a numerical scheme in which the numerical dissipation is controlled in such a way that the results for large time are meaningful. In this respect, we find the long time behavior to crucially depend on the distribution of largest aggregates present in the solution. This fact proved, in some particular cases in [23], was difficult to obtain with previous numerical schemes in the engineering literature leading to wrong statements. We propose a numerical scheme in which we can observe and quantify the equilibration rates towards the right asymptotic profile. Moreover, this system appears to be a very interesting test problem for any anti dissipative scheme for conservation laws.
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