Name
Abstract | ||
|---|---|---|
The immersed interface method (IIM) can be employed to solve many interface problems on fixed Cartesian grids by incorporating necessary interface-induced Cartesian jump conditions into numerical schemes. In this paper, we present a method to compute the necessary Cartesian jump conditions from given principal jump conditions using triangular mesh representation of an interface. The triangular mesh representation is simpler and robuster than interface parametrization for a complex or non-smooth interface. We test our method by using the computed Cartesian jump conditions in the IIM to solve a Poisson equation subject to an interface with the shape of a sphere, cube, cylinder or cone. The results demonstrate the expected second-order accuracy of the solution in the infinity norm. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.jcp.2015.08.019 | Journal of Computational Physics |
Keywords | Field | DocType |
The immersed interface method,Triangular meshes,Jump conditions,Poisson solvers,Complex geometries,Non-smooth interfaces,Cartesian grid methods | Mathematical optimization,Polygon mesh,Parametrization,Poisson's equation,Mathematical analysis,Cylinder,Jump,Mathematics,Cube,Triangle mesh,Cartesian coordinate system | Journal |
Volume | Issue | ISSN |
302 | C | 0021-9991 |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sheng Xu | 1 | 507 | 71.47 |
| Glen D. Pearson Jr. | 2 | 0 | 0.34 |