Abstract
This paper deals with the numerical integration of partial differential equations of the advection-diffusion type when the advection dominates the diffusion. It is shown that finite differencing of the total derivatives yields schemes which do not require upwinding. The method is numerically tested on three problems: the advection diffusion linear problem, the Navier-Stokes equation and the Euler equations.
Original language | English |
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Pages (from-to) | 89-96 |
Number of pages | 8 |
Journal | Applied Mathematical Modelling |
Volume | 7 |
Issue number | 2 |
DOIs | |
State | Published - Apr 1983 |
Keywords
- advection-diffusion
- finite elements
- numerical methods
- upwinding