The DROPS Package for Numerical Simulations of Incompressible Flows Using Parallel Adaptive Multigrid Techniques. Characteristic Features: Discretization on tetrahedral grids using finite elements; Local grid refinement techniques; Level set methods for interface capturing; Continuum surface force approach for the treatment of the surface tension; Approximation of interface curvature using a weak formulation of Laplace-Beltrami-Operator; Efficient iterative solvers based on multigrid methods.

References in zbMATH (referenced in 17 articles )

Showing results 1 to 17 of 17.
Sorted by year (citations)

  1. Olshanskii, Maxim; Xu, Xianmin; Yushutin, Vladimir: A finite element method for Allen-Cahn equation on deforming surface (2021)
  2. Grande, Jörg: Red-green refinement of simplicial meshes in (d) dimensions (2019)
  3. Olshanskii, Maxim A.; Yushutin, Vladimir: A penalty finite element method for a fluid system posed on embedded surface (2019)
  4. Voulis, Igor; Reusken, Arnold: Discontinuous Galerkin time discretization methods for parabolic problems with linear constraints (2019)
  5. Lehrenfeld, Christoph; Olshanskii, Maxim A.; Xu, Xianmin: A stabilized trace finite element method for partial differential equations on evolving surfaces (2018)
  6. Grande, Jörg: Analysis of highly accurate finite element based algorithms for computing distances to level sets (2017)
  7. Lehrenfeld, Christoph; Reusken, Arnold: High order unfitted finite element methods for interface problems and PDEs on surfaces (2017)
  8. Marschall, Holger; Falconi, Carlos; Lehrenfeld, Christoph; Abiev, Rufat; Wörner, Martin; Reusken, Arnold; Bothe, Dieter: Direct numerical simulations of Taylor bubbles in a square mini-channel: detailed shape and flow analysis with experimental validation (2017)
  9. Grande, Jörg; Reusken, Arnold: A higher order finite element method for partial differential equations on surfaces (2016)
  10. Grande, Jörg: Finite element discretization error analysis of a general interfacial stress functional (2015)
  11. Jarzebski, P.; Wisniewski, K.; Taylor, R. L.: On parallelization of the loop over elements in FEAP (2015)
  12. Grande, Jörg: Eulerian finite element methods for parabolic equations on moving surfaces (2014)
  13. Gross, Sven; Reusken, Arnold: Numerical methods for two-phase incompressible flows. (2011)
  14. Karalashvili, Maka; Groß, Sven; Marquardt, Wolfgang; Mhamdi, Adel; Reusken, Arnold: Identification of transport coefficient models in convection-diffusion equations (2011)
  15. Heng, Yi; Mhamdi, Adel; Wagner, Enno; Stephan, Peter; Marquardt, Wolfgang: Estimation of local nucleate boiling heat flux using a three-dimensional transient heat conduction model (2010)
  16. Heng, Yi; Mhamdi, Adel; Groß, Sven; Reusken, Arnold; Buchholz, Martin; Auracher, Hein; Marquardt, Wolfgang: Reconstruction of local heat fluxes in pool boiling experiments along the entire boiling curve from high resolution transient temperature measurements (2008)
  17. Gross, Sven; Reusken, Arnold: Parallel multilevel tetrahedral grid refinement (2005)

Further publications can be found at: https://www.igpm.rwth-aachen.de/forschung/drops/publications