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.

Abstract: Structure information for a substance within a volume may be obtained. The structure information may characterize structural non-linearity of the substance within the volume. A structure model for the substance within the volume may be generated based on the structure information and/or other information. The structure model may simulate one or more characteristics of the substance within the volume. Presentation of information on the characteristic(s) of the substance within the volume may be effectuated based on the structure model and/or other information.

Abstract: An integrated solver may be used for both a fluid phase and a solid phase. The integrated solver may use constitutive equations for the fluid phase and the solid phase, and calculate the stress in the fluid and solid using the same integration point. The integrated solver may also calculate other state variables using the same integration point.

Abstract: An integrated solver may be used for both a fluid phase and a solid phase. The integrated solver may use constitutive equations for the fluid phase and the solid phase, and calculate the stress in the fluid and solid using the same integration point. The integrated solver may also calculate other state variables using the same integration point.