Stabilized second-order convex splitting schemes for Cahn-Hilliard models with application to diffuse-interface tumor-growth models.
作者： X. Wu , G. J. van Zwieten , K. G. van der Zee
DOI: 10.1002/CNM.2597
关键词:
摘要: We present unconditionally energy-stable second-order time-accurate schemes for diffuse-interface (phase-field) models; in particular, we consider the Cahn-Hilliard equation and a tumor-growth system consisting of reactive reaction-diffusion equation. The are Crank-Nicolson type with new convex-concave splitting free energy an artificial-diffusivity stabilization. case nonconstant mobility is treated using extrapolation. For system, semi-implicit treatment terms additional stabilization discussed. suitable energies, all linear. numerical examples that verify accuracy, unconditional energy-stability, superiority compared their first-order accurate variants.
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