engleski

A block-coupled finite volume solver for analysis of large strain in incompressible hyperelastic materials

Efficient solution procedures for fluid-structure interaction simulations of vascular flows require adequate solid phase solvers. Existing finite volume based solvers exhibit convergence and stability issues for problems of incompressible finite strain and unstructured meshes which commonly occur when modelling arterial tissue. In this work a block-coupled finite volume solution methodology employing a mixed displacement-pressure formulation for problems of incompressible finite strain in hyperelastic materials is developed. The solution strategy is based on integral momentum and mass conservation equations wherein pressure is used as an additional variable to improve numerical stability. The domain is discretized by cell-centred finite volumes of arbitrary polyhedral shape and a coupled solution procedure is used to improve convergence. Performance of the solution procedure is evaluated for several test cases and compared with analytical and finite element solutions.

hyperelasticity ; incompressibility ; large strain ; block-coupling ; finite volume method

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