Journal of the Korean Physical Society

Korean Physical Society (한국물리학회)
권호 표지

Adaptive Mesh Refinement for Thin-Film Equations

Kim, Jun-Seok

  • Published : 20060000
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Abstract

An adaptive finite difference method is developed for a class of fully nonlinear time-dependent thin liquid film equations. Equations of the type ht+fy(h) = −3r(M(h)rh) arise in the context of thin liquid films driven by a thermal gradient with a counteracting gravitational force, where h = h(x, y, t) is the fluid film height. Enhanced accuracy for the method is attained by covering the front with a sequence of nested, progressively finer, rectangular grid patches that dynamically follow the front motion. Results of numerical experiments illustrate the accuracy, the efficiency, and the robustness of the method.

Keywords

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