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    We introduce DIQ-MPM, a new simulation framework for fluid-solid interactions. This method enhances stability and accuracy in modeling large deformations and complex contacts between solids and incompressible fluids.

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    Area of Science:

    • Computational mechanics
    • Fluid-structure interaction simulation
    • Material Point Method (MPM)

    Background:

    • Accurate simulation of fluid-solid interactions is crucial for engineering applications.
    • Existing methods often struggle with stability, large deformations, and complex contact scenarios.
    • Monolithic coupling frameworks are needed for robust and efficient simulations.

    Purpose of the Study:

    • To present DIQ-MPM, a novel monolithic two-way coupling framework for simulating fluid-solid interactions.
    • To enable robust simulation of compressible solids undergoing large deformations coupled with incompressible fluids.
    • To eliminate numerical fractures and ensure stable, efficient coupling without overlapping grids.

    Main Methods:

    • Utilizing the Material Point Method (MPM) for solid and fluid modeling.
    • Implementing an implicit total Lagrangian Material Point Method (TLMPM) formulation.
    • Employing a mixed velocity-pressure scheme for robust simulations.
    • Introducing a Dual Interface Quadrature (DIQ) mechanism for consistent interface information mapping.
    • Constructing a unified sparse pressure-only system via Schur complement for efficient coupling.
    • Integrating a particle-based contact force model for solid-solid and solid-boundary contacts.

    Main Results:

    • Demonstrated stable simulation of free-slip fluid-solid coupling.
    • Successfully captured large deformation phenomena in solids.
    • Showcased the ability to handle complex interactions between compressible solids and incompressible fluids.
    • Validated the elimination of numerical fractures in simulations.

    Conclusions:

    • DIQ-MPM provides a robust and efficient framework for simulating complex fluid-solid interactions.
    • The Dual Interface Quadrature (DIQ) mechanism is key to achieving strong, stable coupling without overlapping grids.
    • The integrated contact model enhances the simulation of real-world scenarios involving solid contacts.