A NEW FINITE-ELEMENT FORMULATION OF SHOCK-INDUCED HULL CAVITATION

A new formulation for non-linear, elastic wave propagation, based on t he pressure and density, is introduced. The formulation accounts for a non-linear relation between speed of sound and density. The pressure and density are interpolated by identical shape functions between the nodes. The equation of state is introduced in the discretized system, hence the non-linearity is enforced point-wise. This procedure concent rates on proper interpolation of the balance equations by relaxing the non-linear constitutive relation between the nodes. A standard finite element procedure focuses on the constitutive equation and thereby pr oduces a less consistent representation of the balance equation. In ad dition, the formulation accounts for fluid-structure interaction.