高精度多常数状态方程的数值解

IF 0.4 4区物理与天体物理 Q4 PHYSICS, MULTIDISCIPLINARY

Moscow University Physics Bulletin Pub Date : 2025-05-11 DOI:10.3103/S0027134925700080

E. V. Koldoba

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引用次数: 0

摘要

在一定的压力和温度范围内，高精度热状态方程具有多个根，只有一个是问题的理想物理解。本文考虑了设置初始值的方法来计算方程的期望根。已经开发了一种验证找到的根的方法，可以排除非物理解。所提出的方法允许构建一个鲁棒算法，用于实际应用的数值求解超越状态方程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Numerical Solution of High-Precision Multiconstant Equations of State

In certain pressure and temperature ranges, high-precision thermal equations of state possess multiple roots, with only one being the desired physical solution to the problem. This paper considers methods for setting initial values to calculate the desired root of the equation. A method for verifying the found root has been developed, enabling the exclusion of nonphysical solutions. The proposed approach allows for the construction of a robust algorithm for numerically solving transcendental equations of state for practical applications.

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来源期刊

Moscow University Physics Bulletin PHYSICS, MULTIDISCIPLINARY-

CiteScore

0.70

自引率

0.00%

发文量

129

审稿时长

6-12 weeks

期刊介绍： Moscow University Physics Bulletin publishes original papers (reviews, articles, and brief communications) in the following fields of experimental and theoretical physics: theoretical and mathematical physics; physics of nuclei and elementary particles; radiophysics, electronics, acoustics; optics and spectroscopy; laser physics; condensed matter physics; chemical physics, physical kinetics, and plasma physics; biophysics and medical physics; astronomy, astrophysics, and cosmology; physics of the Earth’s, atmosphere, and hydrosphere.