Abstract
It is known that Harten's uniformly non-oscillatory scheme is a second-order accurate scheme for discretizing coservation laws. In this paper a multigrid technique and Runge-Kutta time stepping with frozen dissipation is applied to Harten's scheme in order to obtain the steady-state solution. It is shown that these techniques applied to Harten's scheme lead to a better convergence to the steady-state solution of a first-order conservation law than applied to Jameson's scheme.
Original language | English |
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Pages (from-to) | 243-263 |
Number of pages | 21 |
Journal | Journal of engineering mathematics |
Volume | 25 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1991 |
Keywords
- Mathematical modeling
- Industrial mathematics
- Good convergence
- Accurate scheme
- Scheme lead