Article contents
An Adaptive Semi-Lagrangian Level-Set Method for Convection-Diffusion Equations on Evolving Interfaces
Published online by Cambridge University Press: 28 November 2017
Abstract
A new Semi-Lagrangian scheme is proposed to discretize the surface convection-diffusion equation. The other involved equations including the the level-set convection equation, the re-initialization equation and the extension equation are also solved by S-L schemes. The S-L method removes both the CFL condition and the stiffness caused by the surface Laplacian, allowing larger time step than the Eulerian method. The method is extended to the block-structured adaptive mesh. Numerical examples are given to demonstrate the efficiency of the S-L method.
Keywords
MSC classification
- Type
- Research Article
- Information
- Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 6 , December 2017 , pp. 1364 - 1382
- Copyright
- Copyright © Global-Science Press 2017
References
- 4
- Cited by