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arXiv physics/0204046physics.flu-dynphysics.comp-ph
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流体动力冲击数值计算的新方法

New method for the Numerical Calculation of Hydrodynamics Shocks

Mikalai Radyna

摘要:

将流体力学方程改写为Laurent级数或$\mathbf{R}<ε>$ -分布的非阿基米德场泛函。提出了一种理解守恒律的新思想。给出了一组适合于数值计算的非线性代数方程。本文用牛顿迭代法计算了可压缩流动方程组的微观激波剖面。

英文摘要:

The equations of hydrodynamics are rewritten in sense of functionals with values in Non-Archimedean field of Laurent series or $\mathbf{R}<ε>$-distributions. A new ideology for understanding of conservation laws is proposed. A set of nonlinear algebraic equations suitable for the numerical work is given. The Newton iteration method are used for calculation of microscopic shock profiles for the equations of compressible flow.

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。

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