Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
A remark on computing distance functions
Journal of Computational Physics
Weighted ENO Schemes for Hamilton--Jacobi Equations
SIAM Journal on Scientific Computing
Geometric Level Set Methods in Imaging,Vision,and Graphics
Geometric Level Set Methods in Imaging,Vision,and Graphics
A Level Set Approach for the Numerical Simulation of Dendritic Growth
Journal of Scientific Computing
Simulating water and smoke with an octree data structure
ACM SIGGRAPH 2004 Papers
Computation of the curvature field in numerical simulation of multiphase flow
Journal of Computational Physics
A second order accurate level set method on non-graded adaptive cartesian grids
Journal of Computational Physics
Short Note: On reinitializing level set functions
Journal of Computational Physics
A level set method for vapor bubble dynamics
Journal of Computational Physics
Simulations of a stretching bar using a plasticity model from the shear transformation zone theory
Journal of Computational Physics
A hybrid level set-volume constraint method for incompressible two-phase flow
Journal of Computational Physics
Journal of Scientific Computing
Journal of Computational Physics
Hi-index | 0.02 |
We present a high-order accurate scheme for the reinitialization equation of Sussman et al.(J. Comput. Phys. 114:146---159, [1994]) that guarantees accurate computation of the interface's curvatures in the context of level set methods. This scheme is an extension of the work of Russo and Smereka (J. Comput. Phys. 163:51---67, [2000]). We present numerical results in two and three spatial dimensions to demonstrate fourth-order accuracy for the reinitialized level set function, third-order accuracy for the normals and second-order accuracy for the interface's mean curvature in the L 1- and L 驴-norms. We also exploit the work of Min and Gibou (UCLA CAM Report (06-22), [2006]) to show second-order accurate scheme for the computation of the mean curvature on non-graded adaptive grids.