Istituto di Matematica Applicata e Tecnologie Informatiche     
Bertolazzi E., Manzini G. Limiting strategies or polynomial reconstructions in Finite Volume Approximations of the linear advection equation. Preprint ercim.cnr.ian//2001-1255, 2001.
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 analysed to limit the approximate solution.
Subject Polynomial reconstructions
MUSCL schemes
Finite volumes
Hyperbolic systems

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