Loading...
Please wait, while we are loading the content...
Similar Documents
An Adaptive Moving Mesh Method with Locally Refined Nested Grids for Partial Differential Equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Hyman, James. M. Li, Shengtai |
| Abstract | We combine an adaptive moving mesh method with an adaptive mesh refinement (AMR) algorithm using a hierarchical locally refined nested grid to improve the efficiency and accuracy of numerical methods for solving evolutionary partial differential equations in one space dimensions. The local mesh velocity is defined to allow the mesh to track fronts and other dynamic features in the solution. Hierarchical nested grids locally adapt to resolve the spatial features in the solution. The nested grid data structure is also used to locally refine the grid in time. Small time steps are taken on the refined grids and imbedded in the larger time steps taken on the coarser grids. We propose and compare several approaches to provide explicit control over the minimum spacing for the adaptive moving mesh. Numerical experiments are presented to show the effectiveness of our method. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://math.lanl.gov/~shenli/publications/mmamr.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
