A remeshed vortex method for incompressible flows around 3D axisymmetric soft bodies*

Soft elastic bodies and their interaction with fluid flows are routinely observed and studied in engineering and biological settings. From a computational standpoint, these are expensive problems to simulate, particularly in 3D scenarios. Nonetheless, often immersed bodies and surrounded flows are axisymmetric in nature, a feature that can be leveraged to significantly reduce computations demands. We outline here a remeshed vortex-based scheme to simulate flow-structure interaction around axisymmetric 3D bodies. The solid and liquid phases are modeled using a two-fluids approach, separated by a diffused interface on an Eulerian grid. Rigid and soft bodies are treated using the Brinkmann penalization and reference map technique, respectively. We validate our solver against various benchmarks and further illustrate its utility in a range of problems, from locomotion to particle manipulation.