The DUNE-ALUGrid Module. In this paper we present the new DUNE-ALUGrid module. This module contains a major overhaul of the sources from the ALUgrid library and the binding to the DUNE software framework. The main improvements concern the parallel feature set of the library, including now user defined load balancing and parallel grid construction. In addition many improvements have been introduced into the code to increase the parallel efficiency and to decrease the memory footprint. The original ALUGrid library is widely used within the DUNE community due to its good parallel performance for problems requiring local adaptivity and dynamic load balancing. Therefore this new model will benefit a number of DUNE users. In addition we have added features to increase the range of problems for which the grid manager can be used, for example, introducing a 3d tetrahedral grid using a parallel newest vertex bisection algorithm for conforming grid refinement. In this paper we will discuss the new features, extensions to the DUNE interface, and explain for various examples how the code is used in parallel environments.

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  1. Chamakuri, Nagaiah; Kügler, Philipp: Parallel space-time adaptive numerical simulation of 3D cardiac electrophysiology (2022)
  2. Elliott, Charles M.; Herbert, Philip J.: A formula for membrane mediated point particle interactions on near spherical biomembranes (2022)
  3. von Wolff, Lars; Pop, Iuliu Sorin: Upscaling of a Cahn-Hilliard Navier-Stokes model with precipitation and dissolution in a thin strip (2022)
  4. Ahusborde, Etienne; Amaziane, Brahim; Moulay, Mohamed Id: High performance computing of 3D reactive multiphase flow in porous media: application to geological storage of (\mathrmCO_2) (2021)
  5. Bastian, Peter; Blatt, Markus; Dedner, Andreas; Dreier, Nils-Arne; Engwer, Christian; Fritze, René; Gräser, Carsten; Grüninger, Christoph; Kempf, Dominic; Klöfkorn, Robert; Ohlberger, Mario; Sander, Oliver: The \textscDuneframework: basic concepts and recent developments (2021)
  6. Holke, Johannes; Knapp, David; Burstedde, Carsten: An optimized, parallel computation of the ghost layer for adaptive hybrid forest meshes (2021)
  7. Rohde, Christian; von Wolff, Lars: A ternary Cahn-Hilliard-Navier-Stokes model for two-phase flow with precipitation and dissolution (2021)
  8. Beck, M.; Rinaldi, A. P.; Flemisch, B.; Class, H.: Accuracy of fully coupled and sequential approaches for modeling hydro- and geomechanical processes (2020)
  9. Elliott, Charles M.; Herbert, Philip J.: Second order splitting of a class of fourth order PDEs with point constraints (2020)
  10. Chamakuri, Nagaiah: Parallel and space-time adaptivity for the numerical simulation of cardiac action potentials (2019)
  11. Dedner, Andreas; Kane, Birane; Klöfkorn, Robert; Nolte, Martin: Python framework for (hp)-adaptive discontinuous Galerkin methods for two-phase flow in porous media (2019)
  12. Dunbar, Oliver R. A.; Lam, Kei Fong; Stinner, Björn: Phase field modelling of surfactants in multi-phase flow (2019)
  13. Alkämper, Martin; Gaspoz, Fernando; Klöfkorn, Robert: A weak compatibility condition for newest vertex bisection in any dimension (2018)
  14. Chamakuri, Nagaiah; Neubert, Wilhelm; Gilbert, Stephen; Vierheller, Janine; Warnecke, Gerald; Falcke, Martin: Multiscale modeling and numerical simulation of calcium cycling in cardiac myocytes (2018)
  15. Schneider, Martin; Flemisch, B.; Helmig, R.; Terekhov, K.; Tchelepi, H.: Monotone nonlinear finite-volume method for challenging grids (2018)
  16. Semplice, Matteo; Loubère, Raphaël: Adaptive-mesh-refinement for hyperbolic systems of conservation laws based on a posteriori stabilized high order polynomial reconstructions (2018)
  17. Hagemann, B.; Rasoulzadeh, M.; Panfilov, M.; Ganzer, L.; Reitenbach, V.: Hydrogenization of underground storage of natural gas. Impact of hydrogen on the hydrodynamic and bio-chemical behavior (2016)
  18. Ngo, A. Q. T.; Bastian, P.; Ippisch, O.: Numerical solution of steady-state groundwater flow and solute transport problems: discontinuous Galerkin based methods compared to the streamline diffusion approach (2015)
  19. Ohlberger, M.; Schindler, F.: Error control for the localized reduced basis multiscale method with adaptive on-line enrichment (2015)
  20. Giesselmann, Jan; Müller, Thomas: Geometric error of finite volume schemes for conservation laws on evolving surfaces (2014)

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