Istituto di Matematica Applicata e Tecnologie Informatiche     
Bertolazzi E., Manzini G. Limiting strategies for Polynomial Reconstructions in the Finite Volume Approximation of the Linear Advection Equation. Preprint ercim.cnr.ian//2002-1291, 2002.
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 conceived to limit the approximate solution. Applied NNumerical Mathematics 49 (2004) 277-289.
Subject Finite volumes, linear advection, limiters, non-oscillatory reconstructions, unstructured meshes, PDE, numerical solvers
65N12, 65C20, 65N22

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