A simple package for front tracking. A general purpose software package for the geometry and dynamics of an interface has been extracted from the FronTier code developed by the authors and colleagues, and is now publicly available. The purpose of this paper is twofold. We describe significant improvements to the Front Tracking package, especially in the 3D handling of topological bifurcations. We also assess the performance of the package, in comparison with publicly distributed interface codes (the level set method), with published performance results (VOF and other methods) and with previous versions of front tracking. The major new algorithm presented here is Locally Grid Based tracking, which combines the best features of two previous 3D tracking algorithms. It combines the robustness of grid-based tracking with the accuracy of grid free tracking, and thus it is a significant improvement to both of these algorithms. We also discuss the surface curvature and normal algorithms and a higher order propagation algorithm, used for the comparison studies presented here. The code is downloadable from the web, and is accompanied by a web-based testing and evaluation site and extensive web-based documentation.

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  1. Du, Zhifang; Li, Jiequan: Accelerated piston problem and high order moving boundary tracking method for compressible fluid flows (2020)
  2. Adjerid, Slimane; Chaabane, Nabil; Lin, Tao; Yue, Pengtao: An immersed discontinuous finite element method for the Stokes problem with a moving interface (2019)
  3. Jin, Hyeonseong: Verification of compressible closure models for turbulent multifluid mixing (2017)
  4. Banks, J. W.; Henshaw, W. D.; Kapila, A. K.; Schwendeman, D. W.: An added-mass partition algorithm for fluid-structure interactions of compressible fluids and nonlinear solids (2016)
  5. Tcheng, Alexandra; Nave, Jean-Christophe: A fast-marching algorithm for nonmonotonically evolving fronts (2016)
  6. Dieter-Kissling, Kathrin; Marschall, Holger; Bothe, Dieter: Numerical method for coupled interfacial surfactant transport on dynamic surface meshes of general topology (2015)
  7. Lee, Injae; Choi, Haecheon: A discrete-forcing immersed boundary method for the fluid-structure interaction of an elastic slender body (2015)
  8. Marić, Tomislav; Marschall, Holger; Bothe, Dieter: Lentfoam -- a hybrid level set/front tracking method on unstructured meshes (2015)
  9. Anjos, G. R.; Borhani, N.; Mangiavacchi, N.; Thome, J. R.: A 3D moving mesh finite element method for two-phase flows (2014)
  10. Duddu, Ravindra: Numerical modeling of corrosion pit propagation using the combined extended finite element and level set method (2014)
  11. Jofre, Lluís; Lehmkuhl, Oriol; Castro, Jesús; Oliva, Assensi: A 3-D volume-of-fluid advection method based on cell-vertex velocities for unstructured meshes (2014)
  12. Novak, Igor L.; Slepchenko, Boris M.: A conservative algorithm for parabolic problems in domains with moving boundaries (2014)
  13. Lee, Seunggyu; Lee, Chaeyoung; Lee, Hyun Geun; Kim, Junseok: Comparison of different numerical schemes for the Cahn-Hilliard equation (2013)
  14. Ullah, Mohammed Aman; Gao, Wenbin; Mao, De-Kang: Towards front-tracking based on conservation in two space dimensions. III: Tracking interfaces (2013)
  15. Banks, Jeffrey W.; Henshaw, William D.; Schwendeman, Donald W.: Deforming composite grids for solving fluid structure problems (2012)
  16. Hawker, N. A.; Ventikos, Y.: Interaction of a strong shockwave with a gas bubble in a liquid medium: a numerical study (2012)
  17. Yang, Xiaofeng; Mironov, Vladimir; Wang, Qi: Modeling fusion of cellular aggregates in biofabrication using phase field theories (2012)
  18. Bo, Wurigen; Liu, Xingtao; Glimm, James; Li, Xiaolin: A robust front tracking method: verification and application to simulation of the primary breakup of a liquid jet (2011)
  19. Kaman, T.; Lim, H.; Yu, Y.; Wang, D.; Hu, Y.; Kim, J.-D.; Li, Y.; Wu, L.; Glimm, J.; Jiao, X.; Li, X.-L.; Samulyak, R.: A numerical method for the simulation of turbulent mixing and its basis in mathematical theory (2011)
  20. Mählmann, Stefan; Papageorgiou, Demetrios T.: Interfacial instability in electrified plane Couette flow (2011)

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