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Triangle based tvd schemes for hyperbolic conservation laws
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Engquist, Bjorn Durlofsky, Louis J. Osher, Stanley |
| Copyright Year | 1990 |
| Description | A triangle based total variation diminishing (TVD) scheme for the numerical approximation of hyperbolic conservation laws in two space dimensions is constructed. The novelty of the scheme lies in the nature of the preprocessing of the cell averaged data, which is accomplished via a nearest neighbor linear interpolation followed by a slope limiting procedures. Two such limiting procedures are suggested. The resulting method is considerably more simple than other triangle based non-oscillatory approximations which, like this scheme, approximate the flux up to second order accuracy. Numerical results for linear advection and Burgers' equation are presented. |
| File Size | 929645 |
| Page Count | 34 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19900007085 |
| Archival Resource Key | ark:/13960/t6256ht5f |
| Language | English |
| Publisher Date | 1990-01-01 |
| Access Restriction | Open |
| Subject Keyword | Mathematical And Computer Sciences (general) Conservation Laws Interpolation Advection Approximation Preprocessing Triangles Linear Equations Tvd Schemes Burger Equation Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Article |
