Fluid-structure interaction solver for transient dynamics of fracturing media

An apparatus, comprising:

• at least one processor;
• and
• memory coupled to the at least one processor and configured with instructions that, when executed by the at least one processor, cause the apparatus to:
• perform a numerical simulation with a solid mesh comprising a plurality of solid nodes and a fluid mesh comprising a plurality of fluid nodes including by:
• 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;
• wherein the determining the fluid-solid interaction comprises an implicit determining within an explicit fluid solver of the numerical simulation,
• wherein the explicit fluid solver is integrated, as opposed to coupled, into a combined finite-discrete element method (FDEM) solver of the numerical simulation.