Optimal approximation of harmonic growth clusters by orthogonal polynomials
Journal Article
·
· Physical Review Letters
OSTI ID:957785
- Los Alamos National Laboratory
Interface dynamics in two-dimensional systems with a maximal number of conservation laws gives an accurate theoreticaI model for many physical processes, from the hydrodynamics of immiscible, viscous flows (zero surface-tension limit of Hele-Shaw flows), to the granular dynamics of hard spheres, and even diffusion-limited aggregation. Although a complete solution for the continuum case exists, efficient approximations of the boundary evolution are very useful due to their practical applications. In this article, the approximation scheme based on orthogonal polynomials with a deformed Gaussian kernel is discussed, as well as relations to potential theory.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC52-06NA25396
- OSTI ID:
- 957785
- Report Number(s):
- LA-UR-08-04618; LA-UR-08-4618; PRLTAO; TRN: US201016%%185
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters; ISSN 0031-9007
- Country of Publication:
- United States
- Language:
- English
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