A locally superconvergent scheme for the discretization of convective fluxes in a mixed finite-element/finite-volume approach is proposed. This scheme is second-order accurate on the whole unstructured mesh but may enjoy accuracy up to fifth order in cartesian subregions. High-order accuracy is achieved through a particular construction of finite-volume cells and through linear reconstruction of the fluxes at the cell interfaces. The proposed method is applied to the simulation of a laminar boundary layer and of the flow around a square cylinder.
A Locally Superconvergent Scheme for the Simulation of Turbulent Flows in Complex Geometries
SALVETTI, MARIA VITTORIA;CAMARRI, SIMONE;
2009-01-01
Abstract
A locally superconvergent scheme for the discretization of convective fluxes in a mixed finite-element/finite-volume approach is proposed. This scheme is second-order accurate on the whole unstructured mesh but may enjoy accuracy up to fifth order in cartesian subregions. High-order accuracy is achieved through a particular construction of finite-volume cells and through linear reconstruction of the fluxes at the cell interfaces. The proposed method is applied to the simulation of a laminar boundary layer and of the flow around a square cylinder.File in questo prodotto:
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