A second-order accurate cell-centered Finite Volume method is proposed to solve the time-dependent scalar advection equation. The spatial accuracy is ensured by a piecewise linear reconstruction which requires a suitable limiting strategy to control spurious numerical oscillations. Three different approaches are analysed to limit the approximate solution.
Limiting strategies for polynomial reconstruction in finite volume approximation of the linear advection equations
G Manzini
2002
Abstract
A second-order accurate cell-centered Finite Volume method is proposed to solve the time-dependent scalar advection equation. The spatial accuracy is ensured by a piecewise linear reconstruction which requires a suitable limiting strategy to control spurious numerical oscillations. Three different approaches are analysed to limit the approximate solution.File in questo prodotto:
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