We present a new Control Volume Finite Element Method (CVFEM) for the drift-diffusion equations. The method combines a conservative formulation of the current continuity equations with a novel definition of an exponentially fitted elemental current density. An edge element representation of the nodal CVFEM current density in the diffusive limit motivates this definition. We prove that in the ab...

This paper is a continuation of [Uniformities and covering properties for partial frames (I)], in which we make use of the notion of a partial frame, which is a meet-semilattice in which certain designated subsets are required to have joins, and finite meets distribute over these. After presenting there our axiomatization of partial frames, which we call $sels$-frames, we added structure, in th...

In this paper, the cell-centered finite volume method (CC-FVM) has been presented to simulate the axisymmetric radial flow toward a pumping well. The model is applied to the unstructured triangular grids which allows to simulate inhomogeneous and complex-shaped domains. Due to the non-orthogonality of the irregular grids, the multipoint flux approximation (MPFA) methods are used to discretize t...

The paper discusses the effort carried out at VNIIEF to consider the applicability of unstructured Lagrange meshes to multidimensional continuum mechanics problems with high shear strain and vortex flows. Three finite-difference numerical techniques for solving continuum mechanics problems on polyhedral unstructured Lagrange meshes are described. Examples of numerical calculations of benchmark ...

UCNS3D is an open-source computational solver for compressible flows on unstructured meshes. State-of-the-art high-order methods and their associated benefits can now be implemented industrial-scale CFD problems due to the flexibility highly-automated generation offered by We present governing equations of physical models employed in , numerical framework developed solution. The code has been d...

Accurate predictions of the complex interactions between fluid-flow and mechanical deformation in fractured geologic formations is of interest in a wide range of reservoir engineering applications including subsurface CO2 sequestration, heavy-oil recovery, and wellbore stability. In this report, we describe a fully implicit method for coupled geomechanics and fluid flow in naturally fractured p...