Numerical Computation of Diffusion on a Surface [electronic resource]
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| Online Access: |
Online Access |
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| Format: | Government Document Electronic eBook |
| Language: | English |
| Published: |
Washington, D.C. : Oak Ridge, Tenn. :
United States. Department of Energy. Office of Advanced Scientific Computing Research ; distributed by the Office of Scientific and Technical Information, U.S. Department of Energy,
2005.
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| Abstract: | We present a numerical method for computing diffusive transport on a surface derived from image data. Our underlying discretization method uses a Cartesian grid embedded boundary method for computing the volume transport in region consisting of all points a small distance from the surface. We obtain a representation of this region from image data using a front propagation computation based on level set methods for solving the Hamilton-Jacobi and eikonal equations. We demonstrate that the method is second-order accurate in space and time, and is capable of computing solutions on complex surface geometries obtained from image data of cells. |
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| Item Description: | Published through SciTech Connect. 02/24/2005. "lbnl--57156" FT. Colella, Phillip; Schwartz, Peter; Adalsteinsson, David; Arkin, Adam Paul; Onsum, Matthew. |