A fast, robust, and simple implicit method for adaptive time-stepping on adaptive mesh-refinement grids

被引：0
|
作者：
机构：
[1] [1,Commerçon, B.
[2] Debout, V.
[3] Teyssier, R.
来源：
| 1600年 / EDP Sciences卷 / 563期
关键词：
Context. Implicit solvers present strong limitations when used on supercomputing facilities and in particular for adaptive mesh-refinement codes. Aims. We present a new method for implicit adaptive time-stepping on adaptive mesh-refinement grids. We implement it in the radiation-hydrodynamics solver we designed for the RAMSES code for astrophysical purposes and; more particularly; for protostellar collapse. Methods. We briefly recall the radiation- hydrodynamics equations and the adaptive time-stepping methodology used for hydrodynamical solvers. We then introduce the different types of boundary conditions (Dirichlet; Neumann; and Robin) that are used at the interface between levels and present our implementation of the new method in the RAMSES code. The method is tested against classical diffusion and radiation- hydrodynamics tests; after which we present an application for protostellar collapse. Results. We show that using Dirichlet boundary conditions at level interfaces is a good compromise between robustness and accuracy and that it can be used in structure formation calculations. The gain in computational time over our former unique time step method ranges from factors of 5 to 50 depending on the level of adaptive time-stepping and on the problem. We successfully compare the old and new methods for protostellar collapse calculations that involve highly non linear physics. Conclusions. We have developed a simple but robust method for adaptive time-stepping of implicit scheme on adaptive mesh-refinement grids. It can be applied to a wide variety of physical problems that involve diffusion processes. © ESO; 2014;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Journal article (JA)
引用
收藏
相关论文
共 50 条
  • [21] Parallel explicit/implicit time stepping scheme on block-adaptive grids
    Toth, Gabor
    De Zeeuw, Darren L.
    Ma, Ying-Juan
    Gombosi, Tamas I.
    Powell, Kenneth G.
    NUMERICAL MODELING OF SPACE PLASMA FLOWS: ASTRONUM-2007, 2008, 385 : 237 - 246
  • [22] Adaptive mesh refinement in the fast lane
    Dunning, D.
    Marts, W.
    Robey, R. W.
    Bridges, P.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 406
  • [23] An adaptive time-stepping semi-Lagrangian method for incompressible flows
    Mortezazadeh, Mohammad
    Wang, Liangzhu
    NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 2019, 75 (01) : 1 - 18
  • [24] A SIMPLE LOCAL ERROR ESTIMATOR AND AN ADAPTIVE TIME-STEPPING PROCEDURE FOR DIRECT INTEGRATION METHOD IN DYNAMIC ANALYSIS
    LI, XD
    ZENG, LF
    WIBERG, NE
    COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1993, 9 (04): : 273 - 292
  • [25] SHOCK COMPUTATIONS WITH ADAPTIVE MESH REFINEMENT AND MOVING GRIDS
    KANSA, EJ
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1988, 15 (6-8) : 623 - 634
  • [26] Numerical approximation for the mean curvature flow with nucleation using implicit time-stepping: An adaptive algorithm
    Fierro F.
    CALCOLO, 1998, 35 (4) : 205 - 224
  • [27] Adaptive time-stepping strategies for nonlinear stochastic systems
    Kelly, Conall
    Lord, Gabriel J.
    IMA JOURNAL OF NUMERICAL ANALYSIS, 2018, 38 (03) : 1523 - 1549
  • [28] A priori local error estimation with adaptive time-stepping
    Ruge, P
    COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 1999, 15 (07): : 479 - 491
  • [29] An adaptive BDF2 implicit time-stepping method for the no-slope-selection epitaxial thin film model
    Xiangjun Meng
    Zhengru Zhang
    Computational and Applied Mathematics, 2023, 42
  • [30] A stable finite-difference time-domain scheme for local time-stepping on an adaptive mesh
    Pederson, Dylan M.
    Raja, Laxminarayan L.
    JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 394 : 456 - 476
12345