Face-Centred Finite Volume Solver for Incompressible Flows Robust to Mesh Distortion
A finite-volume solver, implemented in OpenFOAM, that places the primary unknowns on mesh faces (the face-centred finite volume, FCFV, method) and therefore avoids reconstructing solution gradients. Because it inherits the mixed hybridisable-discontinuous-Galerkin structure, it stays first-order accurate and robust for incompressible laminar Navier-Stokes flows on non-orthogonal, stretched and skewed unstructured meshes where standard cell-centred OpenFOAM solvers (simpleFoam, pimpleFoam) lose accuracy.
2501.00450
This work integrates the face-centred finite volume (FCFV) method — a mixed hybrid finite-volume formulation that stores unknowns on mesh faces and avoids reconstructing the solution gradient — into …