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arXiv · 2111.07313

An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model

Daniel Acosta-Soba·Francisco Guillén-González·J. Rafael Rodríguez-Galván
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Abstract

The design of numerical approximations of the Cahn-Hilliard model preserving the maximum principle is a challenging problem, even more if considering additional transport terms. In this work we present a new upwind Discontinuous Galerkin scheme for the convective Cahn-Hilliard model with degenerate mobility which preserves the maximum principle and prevents non-physical spurious oscillations. Furthermore, we show some numerical experiments in agreement with the previous theoretical results. Finally, numerical comparisons with other schemes found in the literature are also carried out.

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Daniel Acosta-Soba, Francisco Guillén-González, J. Rafael Rodríguez-Galván. 2021-11-14. An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model. https://doi.org/10.1007/s11075-022-01355-2

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