No abstract

No abstract

No abstract

No abstract

SUMMARYIn this paper, a numerical convergence study of family of ux-continuous schemes is presented. The family of ux-continuous schemes is characterized in terms of quadrature parameterization, where the local position of continuity deÿnes the quadrature point and hence the family. A convergence study is carried out for the discretization in physical space and the e ect of a range of quadrature points on convergence is explored. Structured cell-centred and unstructured cell-vertex schemes are considered.Homogeneous and heterogeneous cases are tested, and convergence is established for a number of examples with discontinuous permeability tensor including a velocity ÿeld with singularity. Such cases frequently arise in subsurface ow modelling. A convergence comparison with CVFE is also presented.