التفاصيل البيبلوغرافية
| العنوان: |
Fully decoupled unconditionally stable Crank–Nicolson leapfrog numerical methods for the Cahn–Hilliard–Darcy system. |
| المؤلفون: |
Gao, Yali1 (AUTHOR), Han, Daozhi2 (AUTHOR) daozhiha@buffalo.edu |
| المصدر: |
Numerical Methods for Partial Differential Equations. Jul2024, Vol. 40 Issue 4, p1-19. 19p. |
| مصطلحات موضوعية: |
*TWO-phase flow, *RAYLEIGH-Taylor instability, *CRANK-nicolson method, *LINEAR equations, *POROUS materials, *TAYLOR vortices |
| مستخلص: |
We develop two totally decoupled, linear and second‐order accurate numerical methods that are unconditionally energy stable for solving the Cahn–Hilliard–Darcy equations for two phase flows in porous media or in a Hele‐Shaw cell. The implicit‐explicit Crank–Nicolson leapfrog method is employed for the discretization of the Cahn–Hiliard equation to obtain linear schemes. Furthermore the artificial compression technique and pressure correction methods are utilized, respectively, so that the Cahn–Hiliard equation and the update of the Darcy pressure can be solved independently. We establish unconditionally long time stability of the schemes. Ample numerical experiments are performed to demonstrate the accuracy and robustness of the numerical methods, including simulations of the Rayleigh–Taylor instability, the Saffman–Taylor instability (fingering phenomenon). [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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