A fourth-order spatial accurate and practically stable compact scheme for the Cahn–Hilliard equation

Chaeyoung Lee, Darae Jeong, Jaemin Shin, Yibao Li and Junseok Kim

Physica A: Statistical Mechanics and its Applications, 2014, vol. 409, issue C, 17-28

Abstract: We present a fourth-order spatial accurate and practically stable compact difference scheme for the Cahn–Hilliard equation. The compact scheme is derived by combining a compact nine-point formula and linearly stabilized splitting scheme. The resulting system of discrete equations is solved by a multigrid method. Numerical experiments are conducted to verify the practical stability and fourth-order accuracy of the proposed scheme. We also demonstrate that the compact scheme is more robust and efficient than the non-compact fourth-order scheme by applying to parallel computing and adaptive mesh refinement.

Keywords: Fourth-order compact scheme; Cahn–Hilliard equation; Multigrid; Practically stable scheme; Parallel computing; Adaptive mesh refinement (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:409:y:2014:i:c:p:17-28

DOI: 10.1016/j.physa.2014.04.038

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