ReALE: A reconnection-based arbitrary-Lagrangian–Eulerian method. We present a new reconnection-based arbitrary-Lagrangian–Eulerian (ALE) method. The main elements in a standard ALE simulation are an explicit Lagrangian phase in which the solution and grid are updated, a rezoning phase in which a new grid is defined, and a remapping phase in which the Lagrangian solution is transferred (conservatively interpolated) onto the new grid. In standard ALE methods the new mesh from the rezone phase is obtained by moving grid nodes without changing connectivity of the mesh. Such rezone strategy has its limitation due to the fixed topology of the mesh. In our new method we allow connectivity of the mesh to change in rezone phase, which leads to general polygonal mesh and allows to follow Lagrangian features of the mesh much better than for standard ALE methods. Rezone strategy with reconnection is based on using Voronoi tessellation. We demonstrate performance of our new method on series of numerical examples and show it superiority in comparison with standard ALE methods without reconnection.

References in zbMATH (referenced in 99 articles )

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  1. Liu, Xiaodong; Morgan, Nathaniel R.; Burton, Donald E.: A high-order Lagrangian discontinuous Galerkin hydrodynamic method for quadratic cells using a subcell mesh stabilization scheme (2019)
  2. Marboeuf, Alexis; Claisse, Alexandra; Le Tallec, Patrick: Conservative and entropy controlled remap for multi-material ALE simulations with space-staggered schemes (2019)
  3. Qing, Fang; Yu, Xijun; Jia, Zupeng: A robust MoF method applicable to severely deformed polygonal mesh (2019)
  4. Shen, Hua; Parsani, Matteo: A rezoning-free CESE scheme for solving the compressible Euler equations on moving unstructured meshes (2019)
  5. Yang, Haihua; Zhang, Ping: A hybrid subcell-remapping algorithm for staggered multi-material arbitrary Lagrangian-Eulerian methods (2019)
  6. Zeng, Xianyi; Li, Kangan; Scovazzi, Guglielmo: An ALE/embedded boundary method for two-material flow simulations (2019)
  7. Zhang, Chao; Menshov, Igor: Using the composite Riemann problem solution for capturing interfaces in compressible two-phase flows (2019)
  8. Anderson, Robert W.; Dobrev, Veselin A.; Kolev, Tzanio V.; Rieben, Robert N.; Tomov, Vladimir Z.: High-order multi-material ALE hydrodynamics (2018)
  9. Burton, D. E.; Morgan, N. R.; Charest, M. R. J.; Kenamond, M. A.; Fung, J.: Compatible, energy conserving, bounds preserving remap of hydrodynamic fields for an extended ALE scheme (2018)
  10. Gaburro, Elena; Dumbser, Michael; Castro, Manuel J.: Reprint of: “Direct arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming unstructured meshes” (2018)
  11. Morgan, Nathaniel R.; Liu, Xiaodong; Burton, Donald E.: Reducing spurious mesh motion in Lagrangian finite volume and discontinuous Galerkin hydrodynamic methods (2018)
  12. Pei, Chaoxu; Sussman, Mark; Hussaini, M. Yousuff: A space-time discontinuous Galerkin spectral element method for the Stefan problem (2018)
  13. Perumal, Logah: A brief review on polygonal/polyhedral finite element methods (2018)
  14. Semplice, Matteo; Loubère, Raphaël: Adaptive-mesh-refinement for hyperbolic systems of conservation laws based on a posteriori stabilized high order polynomial reconstructions (2018)
  15. Barral, N.; Olivier, G.; Alauzet, F.: Time-accurate anisotropic mesh adaptation for three-dimensional time-dependent problems with body-fitted moving geometries (2017)
  16. Basting, Steffen; Quaini, Annalisa; Čanić, Sunčica; Glowinski, Roland: Extended ALE method for fluid-structure interaction problems with large structural displacements (2017)
  17. Boscheri, Walter: High order direct arbitrary-Lagrangian-Eulerian (ALE) finite volume schemes for hyperbolic systems on unstructured meshes (2017)
  18. Boscheri, Walter; Dumbser, Michael: Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes (2017)
  19. Chen, Xiang; Zhang, Xiong; Jia, Zupeng: A robust and efficient polyhedron subdivision and intersection algorithm for three-dimensional MMALE remapping (2017)
  20. Frontiere, Nicholas; Raskin, Cody D.; Owen, J. Michael: CRKSPH - A conservative reproducing kernel smoothed particle hydrodynamics scheme (2017)