We present a new approach to simulation of two-way coupling between inviscid free surface uids and deformable bodies that exhibits several notable advantages over previous techniques. By fully incorporating the dynamics of the solid into pressure projection, we simultaneously handle uid incompressibility and solid elasticity and damping. Thanks to this strong coupling, our method does not su er from instability, even in very taxing scenarios. Furthermore, use of a cut-cell discretization methodology allows us to accurately apply proper free-slip boundary conditions at the exact solid-uid interface. Consequently, our method is capable of correctly simulating inviscid tangential ow, devoid of grid artefacts or arti cial sticking. Lastly, we present an e cient algebraic transformation to convert the inde nite coupled pressure projection system into a positive-de nite form. We demonstrate the e cacy of our proposed method by simulating several interesting scenarios, including a light bath toy colliding with a collapsing column of water, liquid being dropped onto a deformable platform, and a partially liquid-lled deformable elastic sphere bouncing.

Muscle paths play an important role in musculoskeletal simulations by determining a muscle's length and how its force is distributed to joints. Most previous approaches estimate the way in which muscles 'wrap' around bones and other structures with smooth analytical wrapping surfaces. In this paper, we employ Newton's method with discrete differential geometry to permit muscle wrapping over arbitrary polygonal mesh surfaces that represent underlying bones and structures. Precomputing distance fields allows us to speed up computations for the common situation where many paths cross the same wrapping surfaces. We found positive results for the accuracy, robustness, and efficiency of the method. However the method did not exhibit continuous changes in path length for dynamic simulations. Nonetheless this approach provides a valuable step toward fast muscle wrapping on arbitrary meshes.

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