A cell centred, finite volume, pressure correction method for unstructured grids is presented that facilitates the use of high order convective modelling. This is achieved through the use of a least squares technique to calculate first and second partial derivatives of the governing equations dependent variables. These derivatives are then used to construct both second and third order convective models that are bounded, accurate and stable. As an initial test of the effectiveness of these models calculated results are compared with standard laminar flow problems in both two and three dimensions.

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