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Some aspects of essentially nonoscillatory (eno) formulations for the euler equations, part 3
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Chakravarthy, Sukumar R. |
| Copyright Year | 1990 |
| Description | An essentially nonoscillatory (ENO) formulation is described for hyperbolic systems of conservation laws. ENO approaches are based on smart interpolation to avoid spurious numerical oscillations. ENO schemes are a superset of Total Variation Diminishing (TVD) schemes. In the recent past, TVD formulations were used to construct shock capturing finite difference methods. At extremum points of the solution, TVD schemes automatically reduce to being first-order accurate discretizations locally, while away from extrema they can be constructed to be of higher order accuracy. The new framework helps construct essentially non-oscillatory finite difference methods without recourse to local reductions of accuracy to first order. Thus arbitrarily high orders of accuracy can be obtained. The basic general ideas of the new approach can be specialized in several ways and one specific implementation is described based on: (1) the integral form of the conservation laws; (2) reconstruction based on the primitive functions; (3) extension to multiple dimensions in a tensor product fashion; and (4) Runge-Kutta time integration. The resulting method is fourth-order accurate in time and space and is applicable to uniform Cartesian grids. The construction of such schemes for scalar equations and systems in one and two space dimensions is described along with several examples which illustrate interesting aspects of the new approach. |
| File Size | 19040411 |
| Page Count | 70 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19900011633 |
| Archival Resource Key | ark:/13960/t08w89w52 |
| Language | English |
| Publisher Date | 1990-05-01 |
| Access Restriction | Open |
| Subject Keyword | Aerodynamics Shock Discontinuity Runge-kutta Method Hyperbolic Functions Conservation Laws Interpolation Flow Equations Finite Difference Theory Differential Equations Euler Equations of Motion Flow Distribution Nonoscillatory Action Tvd Schemes Computational Grids Cartesian Coordinates Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
