A cell-centered semi-discrete Finite Volume method is proposed to accurately 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 analyzed to limit the approximate solution.
Polynomial reconstructions and limiting strategies in finite volume approximations
G Manzini
2002
Abstract
A cell-centered semi-discrete Finite Volume method is proposed to accurately 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 analyzed to limit the approximate solution.File in questo prodotto:
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