Generalized Monge-Kantorovich optimization for grid generation and adaptation in LP
- Los Alamos National Laboratory
The Monge-Kantorovich grid generation and adaptation scheme of is generalized from a variational principle based on L{sub 2} to a variational principle based on L{sub p}. A generalized Monge-Ampere (MA) equation is derived and its properties are discussed. Results for p > 1 are obtained and compared in terms of the quality of the resulting grid. We conclude that for the grid generation application, the formulation based on L{sub p} for p close to unity leads to serious problems associated with the boundary. Results for 1.5 {approx}< p {approx}< 2.5 are quite good, but there is a fairly narrow range around p = 2 where the results are close to optimal with respect to grid distortion. Furthermore, the Newton-Krylov methods used to solve the generalized MA equation perform best for p = 2.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC52-06NA25396
- OSTI ID:
- 956413
- Report Number(s):
- LA-UR-09-00875; LA-UR-09-875; JCTPAH; TRN: US201013%%151
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics; ISSN 0021-9991
- Country of Publication:
- United States
- Language:
- English
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