Symmetric singularity formation in lubrication-type equations for interface motion
SIAM Journal on Applied Mathematics
Positivity-Preserving Numerical Schemes for Lubrication-Type Equations
SIAM Journal on Numerical Analysis
An adaptive mesh algorithm for evolving surfaces: simulation of drop breakup and coalescence
Journal of Computational Physics
Numerical simulation of moving contact line problems using a volume-of-fluid method
Journal of Computational Physics
ADI schemes for higher-order nonlinear diffusion equations
Applied Numerical Mathematics
Explicit solutions of a two-dimensional fourth-order nonlinear diffusion equation
Mathematical and Computer Modelling: An International Journal
Journal of Computational Physics
Parallel computing as a vehicle for engineering design of complex functional surfaces
Advances in Engineering Software
A numerical scheme for particle-laden thin film flow in two dimensions
Journal of Computational Physics
Hi-index | 31.46 |
We present a computational method for quasi 3D unsteady flows of thin liquid films on a solid substrate. This method includes surface tension as well as gravity forces in order to model realistically the spreading on an arbitrarily inclined substrate. The method uses a positivity preserving scheme to avoid possible negative values of the fluid thickness near the fronts. The "contact line paradox," i.e., the infinite stress at the contact line, is avoided by using the precursor film model which also allows for approaching problems that involve topological changes. After validating the numerical code on problems for which the analytical solutions are known, we present results of fully nonlinear time-dependent simulations of merging liquid drops using both uniform and nonuniform computational grids.