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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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논문 기본 정보
- 자료유형
- 학술대회자료
- 저자정보
- 발행연도
- 2012.5
- 수록면
- 55 - 59 (5page)
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초록· 키워드
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In this paper we present a conservative numerical method for the Cahn?Hilliard equation with Dirichlet boundary conditions in complex domains. The method uses an unconditionally gradient stable nonlinear splitting numerical scheme to remove the high-order time-step stability constraints. The continuous problem has conservation of mass and we prove the conservative property of the proposed discrete scheme for complex domains. The resulting system of discrete equations is solved by a nonlinear multigrid method. We describe the implementation of the proposed numerical scheme in more detail. We demonstrate the accuracy and robustness of the proposed Dirichlet boundary formulation using various numerical experiments. We numerically show the total energy decrease and the unconditionally gradient stability. In particular, the numerical results indicate the potential usefulness of the proposed method for accurately calculating biological membrane dynamics in confined domains.
목차
ABSTRACT
INTRODUCTION
DISCRETIZATION IN A COMPLEX DOMAIN
APPLICATION TO MODEL BIOLOGICAL MEMBRANE IN CONFINED DOMAINS
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UCI(KEPA) : I410-ECN-0101-2014-410-000450289