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High-order semi-discrete central-upwind schemes for multi-dimensional hamilton-jacobi equations
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Levy, Doron Bryson, Steve |
| Copyright Year | 2002 |
| Description | We present the first fifth order, semi-discrete central upwind method for approximating solutions of multi-dimensional Hamilton-Jacobi equations. Unlike most of the commonly used high order upwind schemes, our scheme is formulated as a Godunov-type scheme. The scheme is based on the fluxes of Kurganov-Tadmor and Kurganov-Tadmor-Petrova, and is derived for an arbitrary number of space dimensions. A theorem establishing the monotonicity of these fluxes is provided. The spacial discretization is based on a weighted essentially non-oscillatory reconstruction of the derivative. The accuracy and stability properties of our scheme are demonstrated in a variety of examples. A comparison between our method and other fifth-order schemes for Hamilton-Jacobi equations shows that our method exhibits smaller errors without any increase in the complexity of the computations. |
| File Size | 1502269 |
| Page Count | 34 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_20020073161 |
| Archival Resource Key | ark:/13960/t3tt9k66c |
| Language | English |
| Publisher Date | 2002-08-08 |
| Access Restriction | Open |
| Subject Keyword | Theoretical Mathematics Errors Theorems Accuracy Monotone Functions Upwind Schemes Mathematics Essentially Non-oscillatory Schemes Derivation Hamilton-jacobi Equation Discretization Mathematics Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
