保持不变量域的IMEX方案用于非平衡灰辐射流体动力学方程 第一部分
Invariant-domain preserving IMEX schemes for the nonequilibrium Gray Radiation-Hydrodynamics equations Part I
AI总结：
本文提出了一种保持不变量域的IMEX方案，用于非平衡灰辐射流体动力学方程，为后续更高阶精度的研究奠定了基础。
摘要：
在本文中，我们介绍了非平衡灰辐射流体动力学方程的隐式-显式不变量域保持近似方法。通过将方程分解为三个基本子系统（两个超几何和一个抛物线）的新拆分，提出了一种时间空间近似方法。由此实现的近似被证明是一致的、守恒的、保持不变量域的，并且是第一阶准确的。所提出的方法为后续第二部分工作中在空间和时间上实现更高阶精度奠定了基础。该方法经过数值验证，并显示出预期的收敛性。本文献献给彼得·拉克斯的纪念。
英文摘要：
In this work we introduce an implicit-explicit invariant-domain preserving approximation of the nonequilibrium gray radiation-hydrodynamics equations. A time and space approximation of the system is proposed using a novel split of the equations composed of three elementary subsystems, two hyperbolic and one parabolic. The approximation thus realized is proved to be consistent, conservative, invariant-domain preserving, and first-order accurate. The proposed method is a stepping stone for achieving higher-order accuracy in space and time in the forthcoming second part of this work. The method is numerically illustrated and shown to converge as advertised. This paper is dedicated to the memory of Peter Lax.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
