Ein mehrdimensionales implizites numerisches Verfahren zur Modellierung relativistischer und radiativer MHD Strömungen in der Astrophysik

用于建模天体物理学中相对论和辐射 MHD 流的多维隐式数值方法

• 批准号: 5434658
• 负责人: Professor Dr. Rolf Rannacher
• 金额: --
• 依托单位: Landessternwarte Königstuhl (LSW)
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2004
• 资助国家: 德国
• 起止时间: 2003-12-31 至 2005-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/5434658?language=en
• 关键词: Ein; mehrdimensionales; implizites; numerisches; Verfahren

The rapid development of observational technology in all spectral bands nowadays requires more than ever sophisticated numerical tools for understanding the available data. Formation and acceleration of jets around young stellar objects, around compact objects and in systems containing black holes such as in micro-quasars, quasars and in GRBs are only a small sub-set of still unsolved problems. Tackling these astrophysical phenomena requires sophisticated and robust solvers that are beyond the reach of the explicit methods usually applied in astrophysical fluid dynamics. Therefore, the primary goal of this project is to develop for the first time an unconditionally stable, multi-dimensional and multi-stage numerical solver capable of providing quasi-stationary solutions to the set of equations corresponding to relativistic, multi-component, and radiative MHD flows. We intend to apply and modify the numerical approach that we have used in designing the algorithm IRMHD+: an available and well tested implicit, radiative and MHD solver, and which relies on the Newtonian formulation of the equations. It includes also several important radiative, magnetic and self-gravity effects, and is capable of reproducing the spectral energy distributions of magnetized flows. In developing the new special relativistic solver, hence the name SIRMHD+, we intend to parallelize the new solver and make it public-available.

如今，所有光谱带观测技术的快速发展需要比以往更复杂的数值工具来理解可用数据。年轻恒星周围、致密天体周围以及微类星体、类星体和伽玛暴等包含黑洞的系统中喷流的形成和加速只是尚未解决的问题的一小部分。解决这些天体物理现象需要复杂而强大的求解器，而这些求解器超出了天体物理流体动力学中通常应用的显式方法的范围。因此，该项目的主要目标是首次开发一种无条件稳定、多维、多级数值求解器，能够为相对论、多分量和辐射MHD流对应的方程组提供准稳态解。我们打算应用和修改我们在设计算法 IRMHD+ 时使用的数值方法：一种可用且经过良好测试的隐式、辐射和 MHD 求解器，它依赖于方程的牛顿公式。它还包括几种重要的辐射、磁和自重力效应，并且能够再现磁化流的光谱能量分布。在开发新的狭义相对论求解器（因此命名为 SIRMHD+）时，我们打算并行化新的求解器并使其公开可用。