A positivity-preserving numerical method for a thin liquid film on a vertical cylindrical fiber
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Publication:6202137
DOI10.1016/j.jcp.2023.112560arXiv2310.10977OpenAlexW4387807575MaRDI QIDQ6202137
Abolfazl Sadeghpour, Bohyun Kim, Y. Sungtaek Ju, Hangjie Ji, Andrea L. Bertozzi
Publication date: 21 February 2024
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2310.10977
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Parabolic equations and parabolic systems (35Kxx) Incompressible viscous fluids (76Dxx)
Cites Work
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- The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and lubrication-type equations
- On positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes
- Higher order nonlinear degenerate parabolic equations
- Falling liquid films.
- Finite element approximation of a fourth order nonlinear degenerate parabolic equation
- Nonnegativity preserving convergent schemes for the thin film equation
- ADI schemes for higher-order nonlinear diffusion equations.
- Nonnegative solutions of a fourth-order nonlinear degenerate parabolic equation
- Statistical density estimation using threshold dynamics for geometric motion
- Bound/positivity preserving and unconditionally stable schemes for a class of fourth order nonlinear equations
- A fully discrete positivity-preserving and energy-dissipative finite difference scheme for Poisson-Nernst-Planck equations
- A positivity-preserving, energy stable and convergent numerical scheme for the Cahn-Hilliard equation with a Flory-Huggins-deGennes energy
- Fourth order partial differential equations on general geometries
- Viscous beads on vertical fibre
- Simulation of singularities and instabilities arising in thin film flow
- Dewetting films: bifurcations and concentrations
- The velocity of ‘large’ viscous drops falling on a coated vertical fibre
- Construction and Convergence Study of Schemes Preserving the Elliptic Local Maximum Principle
- Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments
- Thermally-driven coalescence in thin liquid film flowing down a fibre
- Modelling film flows down a fibre
- Tear film dynamics on an eye-shaped domain. Part 2. Flux boundary conditions
- Non-isothermal flow of a liquid film on a horizontal cylinder
- Mechanism for drop formation on a coated vertical fibre
- The Global Dynamics of Discrete Semilinear Parabolic Equations
- The lubrication approximation for thin viscous films: the moving contact line with a 'porous media' cut-off of van der Waals interactions
- On a Fourth-Order Degenerate Parabolic Equation: Global Entropy Estimates, Existence, and Qualitative Behavior of Solutions
- Dynamics of thin liquid films on vertical cylindrical fibres
- On the convergence of entropy consistent schemes for lubrication type equations in multiple space dimensions
- Symmetric Singularity Formation in Lubrication-Type Equations for Interface Motion
- Positivity-Preserving Numerical Schemes for Lubrication-Type Equations
- Modelling film flows down a fibre influenced by nozzle geometry
- Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes
- On travelling wave solutions of a model of a liquid film flowing down a fibre
- Arbitrarily High-Order Exponential Cut-Off Methods for Preserving Maximum Principle of Parabolic Equations
- On viscous beads flowing down a vertical fibre
- Spatial evolution of a film flowing down a fiber
- Energy integral method model for the nonlinear dynamics of an axisymmetric thin liquid film falling on a vertical cylinder
- Slip-enhanced drop formation in a liquid falling down a vertical fibre
- A diffuse-interface model for electrowetting drops in a Hele-Shaw cell
