On the numerical solution of a driven thin film equation

DOI10.1016/j.jcp.2008.04.007zbMath1140.76027OpenAlexW2121255225MaRDI QIDQ934122

Tim G. Myers, Youngsoo Ha, Yong-Jung Kim

Publication date: 29 July 2008

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.04.007

zbMATH Keywords

explicit schemesdiffusion termconvection termsfractional step-splitting methodupwind-type scheme

Mathematics Subject Classification ID

Thin fluid films (76A20) Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12)

Related Items (13)

Process parameter identification in thin film flows driven by a stretching surface ⋮ Numerical studies of the fingering phenomena for the thin film equation ⋮ FREE-SURFACE DYNAMICS OF THIN SECOND-GRADE FLUID OVER AN UNSTEADY STRETCHING SHEET ⋮ Colloidal exchange flow in ducts ⋮ Numerical investigation of the generalized lubrication equation ⋮ A nonlinear eigenvalue problem from thin-film flow ⋮ Unnamed Item ⋮ Adaptive mesh refinement for simulation of thin film flows ⋮ Numerical investigations on self-similar solutions of the nonlinear diffusion equation ⋮ Numerical-asymptotic models for the manipulation of viscous films via dielectrophoresis ⋮ SURFACE TEMPERATURE RECONSTRUCTION BASED ON THE THERMOCAPILLARY EFFECT ⋮ When central finite differencing gives complex values for a real solution! ⋮ Simulation of thin film flows with a moving mesh mixed finite element method

Uses Software

• MOVCOL4
• HE-E1GODF

Cites Work

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• MOVCOL4: A Moving Mesh Code for Fourth‐Order Time‐Dependent Partial Differential Equations
• Undercompressive shocks in thin film flows.

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