论文标题
关于在M1闭合下使用无雅可比的riemann求解器在相对论辐射磁流失动力学下
On the application of Jacobian-free Riemann solvers for relativistic radiation magnetohydrodynamics under M1 closure
论文作者
论文摘要
辐射转移在高能天体物理学中起主要作用。在多种情况和广泛的能量尺度中,物质和辐射之间的耦合对于了解理论,观察和数值模拟之间的相互作用至关重要。在本文中,我们提出了一种新的方案,用于求解平行代码lóstrego中辐射相对论磁性水力动力学方程。这些方程是通过IMEX时间集成方案在灰色近似和M1闭合下求解的,呈玻尔兹曼辐射传递方程的连续力矩。我们方案的主要新颖性是,我们在辐射磁磁性流动力学的背景下首次介绍了一个基于对多项式粘度矩阵的内部近似值的无雅可比的Riemann求解器,该家族被证明是非辐射应用应用的稳健性和准确性的。通过在自由流和扩散辐射传输限制中解决一维和多维测试问题的集合来测试新算法的鲁棒性和局限性。由于其稳定的性能,本文在高能天体物理学中提出的方案的适用性是有希望的。在将来的模拟中,我们希望能够在相对论喷射和积聚盘的背景下(从微Quasars and AGN到伽玛射线爆发)探索光子 - 物体相互作用的动态相关性。
Radiative transfer plays a major role in high-energy astrophysics. In multiple scenarios and in a broad range of energy scales, the coupling between matter and radiation is essential to understand the interplay between theory, observations and numerical simulations. In this paper, we present a novel scheme for solving the equations of radiation relativistic magnetohydrodynamics within the parallel code Lóstrego. These equations, which are formulated taking successive moments of the Boltzmann radiative transfer equation, are solved under the gray-body approximation and the M1 closure using an IMEX time integration scheme. The main novelty of our scheme is that we introduce for the first time in the context of radiation magnetohydrodynamics a family of Jacobian-free Riemann solvers based on internal approximations to the Polynomial Viscosity Matrix, which were demonstrated to be robust and accurate for non-radiative applications. The robustness and the limitations of the new algorithms are tested by solving a collection of one-dimensional and multi-dimensional test problems, both in the free-streaming and in the diffusion radiation transport limits. Due to its stable performance, the applicability of the scheme presented in this paper to real astrophysical scenarios in high-energy astrophysics is promising. In future simulations, we expect to be able to explore the dynamical relevance of photon-matter interactions in the context of relativistic jets and accretion discs, from microquasars and AGN to gamma-ray bursts.