A finite volume penalty‐based implicit procedure for the treatment of the frictionless contact boundaries

This article presents a new implicit coupling procedure for mechanical contact simulations using an cell-centred finite volume method. Both boundaries are treated as Neumann conditions, where the prescribed force is calculated penalty law, which linearised and updated within iterative solution procedure. Compared to currently available explicit treatment, treatment offers better efficiency same accuracy. achieved with proposed linearisation, replaces under-relaxation of force. The procedure, intended frictionless Hookean solids, can handle non-conformal interface discretisations faces in partial contact. accuracy approach compared on four benchmark problems, it shown that method significantly improve robustness.