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We present an open-source adaptive front-tracking solver for biologicalcapsules in viscous flows. The membrane elastic and bending forces are solvedon a Lagrangian triangulation using a linear Finite Element Method and aparaboloid fitting method. The fluid flow is solved on an octree adaptive gridusing the open-source platform Basilisk. The Lagrangian and Eulerian gridscommunicate using an Immersed Boundary Method by means of Peskin-likeregularized Dirac delta functions. We demonstrate the accuracy of our solverwith extensive validations: in Stokes conditions against the Boundary IntegralMethod, and in the presence of inertia against similar (but not adaptive)front-tracking solvers. Excellent qualitative and quantitative agreements areshown. We then demonstrate the robustness of the present solver in achallenging case of extreme membrane deformation, and illustrate its capabilityto simulate inertial capsule-laden flows in complex STL-defined geometries,opening the door for bioengineering applications featuring largethree-dimensional channel structures. The source code and all the test casespresented in this paper are freely available.

A Cartesian-octree adaptive front-tracking solver for immersed biological capsules in large complex domains