Higher-order implicit-explicit multi-domain compressible Navier-Stokes solvers
Higher-order implicit-explicit multi-domain compressible Navier-Stokes solvers
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DOI：
10.1016/j.jcp.2019.02.033
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发表时间：
2019-08
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影响因子：
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通讯作者：
O. Bruno;Max Cubillos;Edwin Jimenez
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文献类型：
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作者：
O. Bruno;Max Cubillos;Edwin Jimenez
本文给出了一般二维和三维多区域亚音速可压缩Navier-Stokes方程的一类新的求解器。在最近基于单域ADI的高阶Navier-Stokes求解器（Bruno和Cubillos（2016）[11]）的基础上，本文提出了高阶时间精度的多域隐式-显式方法。所提出的方法包括：1）一种新的线性成本隐式求解器的基础上使用高阶向后微分公式（BDF）和交替方向隐式方法（ADI）; 2）一个快速显式求解器; 3）几乎无色散的光谱空间离散;和4）区域分解策略，协商隐式和显式域之间的相互作用。特别是，隐式方法isquasi-无条件稳定（它不受CFL约束充分解决流），它可以deliverorders的时间精度在2和6之间的一般边界条件的存在。此外，通过二维和三维的各种数值实验证明，所提出的多域并行隐式-显式实现具有空间和时间上的高阶收敛性、鲁棒的稳定性、有限的分散性和高并行效率。
This paper presents a new class of solvers for the subsonic compressible Navier-Stokes equations in general two- and three-dimensional multi-domains. Building up on the recent single-domain ADI-based high-order Navier-Stokes solvers (Bruno and Cubillos (2016) [11]) this article presents multi-domain implicit-explicit methods of high-order of temporal accuracy. The proposed methodology incorporates: 1) A novel linear-cost implicit solver based on use of high-order backward differentiation formulae (BDF) and an alternating direction implicit approach (ADI); 2) A fast explicit solver; 3) Nearly dispersionless spectral spatial discretizations; and 4) A domain decomposition strategy that negotiates the interactions between the implicit and explicit domains. In particular, the implicit methodology isquasi-unconditionally stable(it does not suffer from CFL constraints for adequately resolved flows), and it can deliverorders of time accuracy between two and six in the presence of general boundary conditions. As demonstrated via a variety of numerical experiments in two and three dimensions, further, the proposed multi-domain parallel implicit-explicit implementations exhibit high-order convergence in space and time, robust stability properties, limited dispersion, and high parallel efficiency.