BETHE-Hydro: An Arbitrary Lagrangian-Eulerian Multidimensional Hydrodynamics Code for Astrophysical Simulations. In this paper, we describe a new hydrodynamics code for one- and two-dimensional (1D and 2D) astrophysical simulations, BETHE-hydro, that uses time-dependent, arbitrary, unstructured grids. The core of the hydrodynamics algorithm is an arbitrary Lagrangian-Eulerian (ALE) approach, in which the gradient and divergence operators are made compatible using the support-operator method. We present 1D and 2D gravity solvers that are finite differenced using the support-operator technique, and the resulting system of linear equations are solved using the tridiagonal method for 1D simulations and an iterative multigrid-preconditioned conjugate-gradient method for 2D simulations. Rotational terms are included for 2D calculations using cylindrical coordinates. We document an incompatibility between a subcell pressure algorithm to suppress hourglass motions, and the subcell remapping algorithm and present a modified subcell pressure scheme that avoids this problem. Strengths of this code include a straightforward structure, enabling simple inclusion of additional physics packages, the ability to use a general equation of state, and most importantly, the ability to solve self-gravitating hydrodynamic flows on time-dependent, arbitrary grids. In what follows, we describe in detail the numerical techniques employed and, with a large suite of tests, demonstrate that BETHE-hydro finds accurate solutions with second-order convergence.
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References in zbMATH (referenced in 4 articles )
Showing results 1 to 4 of 4.
- Kulikov, I. M.; Chernykh, I. G.; Tutukov, A. V.: A new parallel Intel Xeon Phi hydrodynamics code for massively parallel supercomputers (2018)
- Kulikov, Igor; Vorobyov, Eduard: Using the PPML approach for constructing a low-dissipation, operator-splitting scheme for numerical simulations of hydrodynamic flows (2016)
- Lipnikov, Konstantin; Manzini, Gianmarco; Shashkov, Mikhail: Mimetic finite difference method (2014)
- Berndt, Markus; Breil, Jérôme; Galera, Stéphane; Kucharik, Milan; Maire, Pierre-Henri; Shashkov, Mikhail: Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods (2011)