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We consider an unfitted Eulerian time‐stepping scheme for a coupled parabolic model problem on a moving domain. In this model, the domain motion results from an ordinary differential equation coupled to the bulk via the forces acting on the moving interface. We extend our initial work (von Wahl & Richter, 2022) to allow for equal‐order finite element discretisations for the partial differential...
We consider nonspherical rigid body particles in an incompressible fluid in the regime where the particles are too large to assume that they are simply transported with the fluid without back‐coupling and where the particles are also too small to make fully resolved direct numerical simulations feasible. Unfitted finite element methods with ghost‐penalty stabilization are well suited to fluid‐structure‐interaction...
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