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High-Order Central WENO Schemes for Multi-Dimensional Hamilton-Jacobi EquationsWe present new third- and fifth-order Godunov-type central schemes for approximating solutions of the Hamilton-Jacobi (HJ) equation in an arbitrary number of space dimensions. These are the first central schemes for approximating solutions of the HJ equations with an order of accuracy that is greater than two. In two space dimensions we present two versions for the third-order scheme: one scheme that is based on a genuinely two-dimensional Central WENO reconstruction, and another scheme that is based on a simpler dimension-by-dimension reconstruction. The simpler dimension-by-dimension variant is then extended to a multi-dimensional fifth-order scheme. Our numerical examples in one, two and three space dimensions verify the expected order of accuracy of the schemes.
Document ID
20020066776
Acquisition Source
Ames Research Center
Document Type
Preprint (Draft being sent to journal)
Authors
Bryson, Steve (NASA Ames Research Center Moffett Field, CA United States)
Levy, Doron (Stanford Univ. Stanford, CA United States)
Biegel, Bryan
Date Acquired
September 7, 2013
Publication Date
January 1, 2002
Subject Category
Theoretical Mathematics
Meeting Information
Meeting: SIAM Journal of Numerical Analysis
Country: United States
Start Date: January 1, 2001
Sponsors: Society for Industrial and Applied Mathematics
Funding Number(s)
PROJECT: RTOP 704-40-42
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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