On the numerical solution of a driven thin film equation

Authors:
Youngsoo Ha;Yong-Jung Kim;Tim G. Myers
Affiliations:
Department of Mathematical Sciences, KAIST (Korean Advanced Institute of Science and Technology), 335 Gwahangno Yuseong-gu, Daejeon 305-701, Republic of Korea;Department of Mathematical Sciences, KAIST (Korean Advanced Institute of Science and Technology), 335 Gwahangno Yuseong-gu, Daejeon 305-701, Republic of Korea;Department of Mathematics & Applied Mathematics, University of Cape Town, South Africa
Venue:
Journal of Computational Physics
Year:
2008

Citing 16
Cited 0

Efficient implementation of essentially non-oscillatory shock-capturing schemes

Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II

Journal of Computational Physics
Non-oscillatory central differencing for hyperbolic conservation laws

Journal of Computational Physics
Weighted essentially non-oscillatory schemes

Journal of Computational Physics
High-resolution conservative algorithms for advection in incompressible flow

SIAM Journal on Numerical Analysis
Efficient implementation of weighted ENO schemes

Journal of Computational Physics
Thin Films with High Surface Tension

SIAM Review
High-Resolution Nonoscillatory Central Schemes with Nonstaggered Grids for Hyperbolic Conservation Laws

SIAM Journal on Numerical Analysis
Undercompressive shocks in thin film flows

Physica D
New high-resolution central schemes for nonlinear conservation laws and convection—diffusion equations

Journal of Computational Physics
Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations

SIAM Journal on Scientific Computing
Piecewise Self-Similar Solutions and a Numerical Scheme for Scalar Conservation Laws

SIAM Journal on Numerical Analysis
Numerical Simulation of High Mach Number Astrophysical Jets with Radiative Cooling

Journal of Scientific Computing
Fourth order partial differential equations on general geometries

Journal of Computational Physics
Explicit solutions to a convection-reaction equation and defects of numerical schemes

Journal of Computational Physics
MOVCOL4: A Moving Mesh Code for Fourth-Order Time-Dependent Partial Differential Equations

SIAM Journal on Scientific Computing

Quantified Score

Hi-index	31.45

Visualization

Abstract

We present a new limiter for the PPM method of Colella and Woodward [P. Colella, P.R. Woodward, The Piecewise Parabolic Method (PPM) for gas-dynamical simulations, Journal of Computational Physics 54 (1984) 174-201] that preserves accuracy at smooth ...