在对硬化气体异质混合物动态的双重缩小模型上,其规范化及其实现
1Department of Mathematics, Higher School of Economics University, Pokrovskii Bd. 11, 109028 Moscow, Russia.
Chaos (Woodbury, N.Y.)
|November 21, 2023
概括
本研究引入了对异质可压缩二元混合物的准同质模型的规范化. 开发了新的有限差异方案来模拟这些复杂系统中的冲击波流.
科学领域:
- 流体动力学 流体动力学
- 计算物理 计算物理
- 热力学是一种热力学.
背景情况:
- 该研究使用减少的四方方程模型处理异质可压缩二进制混合物的动力学.
- 专注于进一步缩小的准同质形式,包括排除的体积度和组件压力的二次方程.
研究的目的:
- 为了研究新的属性,并推导简化公式的二次速度的声音在准均的模型.
- 为异质模型引入新的规范化,扩展从同质混合物的先前工作.
- 开发和实施新的数值方案来模拟复杂的流体流.
主要方法:
- 简化四方程模型及其近同质形式的数学分析.
- 对声学特性和压力平衡的分析公式的推导.
- 基于新的规范化,开发明确的两级,三点有限差额方案.
- 对一维流量的数值模拟,特别是涉及冲击波的数值模拟.
主要成果:
- 准同质模型的新特性被证明.
- 简单的公式来得出声音的二次速度及其与木材的二次速度的关系.
- 介绍了异质模型在准同质形式中的第一个规范化.
- 通过数值结果构建和验证了新的,无限制器的有限差异方案.
结论:
- 这项研究成功地扩展了异质混合物的建模,包括被排除的体积效应.
- 引入的规范化和数值方案为分析复杂的可压缩流提供了强大的框架.
- 开发的方法对于模拟异质二进制混合物中的冲击波等现象是有效的.
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