Abstract: Computer-implemented methods can include providing a numerical simulation mesh comprising a plurality of nodes and performing a numerical simulation of a solid material using the mesh and a user-selectable transition threshold associated with a cohesive zone model traction-separation relation. Additional computer-implemented methods can include performing a numerical simulation of a solid material using a numerical simulation mesh comprising a plurality of nodes, wherein the numerical simulation includes a transition threshold associated with a cohesive zone model traction-separation relation, and comparing local material states including a strain state of the mesh to the transition threshold during the performing the numerical simulation to determine whether to dynamically insert cohesive elements in the finite element mesh.

Abstract: Computer implemented methods include providing a numerical simulation solid mesh comprising a plurality of solid nodes and a numerical simulation fluid mesh comprising a plurality of fluid nodes, and performing a numerical simulation with the solid mesh and fluid mesh including: determining a fluid-solid interaction between the fluid mesh and the solid mesh at a time step by (i) immersing boundaries of the solid and fluid meshes, (ii) computing current corrected fluid and solid velocities using an interaction parameter applied to an intermediate fluid-solid relative velocity, and (iii) computing a fluid-solid interaction force based on the current corrected fluid and solid velocities.