Abstract

An optimization method for the numerical solution of the inverse problem of recovering the initial state of a supernova is proposed. The gradient of the inverse problem objective functional is constructed. The solution of the direct and adjoint problems is based on a combination of the large particle method, Godunov’s method, and piecewise parabolic method on a local stencil. Results of the verification of the proposed numerical method and the results of numerical solution of the Evrard and Sedov collapse problems are presented.

中文翻译：

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恢复超新星初始状态特征的算法

摘要

提出了一种恢复超新星初始状态反问题数值解的优化方法。构造了反问题目标函数的梯度。直接和伴随问题的解决方案是基于局部模板上的大粒子方法，Godunov方法和分段抛物线方法的组合。给出了所提出的数值方法的验证结果以及Evrard和Sedov坍塌问题的数值解的结果。