裂隙岩体中产生的纳维-斯托克斯方程的新型半解析无网格法

IF 4.6 2区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY

Chinese Journal of Physics Pub Date : 2025-03-05 DOI:10.1016/j.cjph.2025.03.007

Yingzi Jiang, Fuzhang Wang

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引用次数: 0

摘要

裂隙岩体中油水两相渗流问题在核能废弃物排放等工程问题中备受关注。在本文中，我们打算提出一种新的半解析无网格方法来模拟裂隙岩体中的Navier-Stokes方程。半解析无网格方法是基于新构造的高斯型时空径向基函数。该方法是求解时变问题的一步法。数值算例表明，所提出的半解析无网格方法在求解精度和CPU时间上都能与其他方法相媲美。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

$A novel semi-analytical meshless method for Navier-Stokes equations arising in fractured rock masses$

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A novel semi-analytical meshless method for Navier-Stokes equations arising in fractured rock masses

The seepage problem of oil-water two-phase flow in fractured rock masses has attracted great attention in engineering problems such as nuclear energy waste discharge. In this paper, we intend to propose a novel semi-analytical meshless method to simulate the Navier-Stokes equations arising in fractured rock masses. The semi-analytical meshless method is based on the newly-constructed Gaussian-type spatiotemporal radial basis functions. This method is a one-step solution method for time-dependent problems. Numerical examples show that the proposed semi-analytical meshless method can compete with the other methods in terms of solution accuracy as well as CPU time.

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来源期刊

Chinese Journal of Physics 物理-物理：综合

CiteScore

8.50

自引率

10.00%

发文量

361

审稿时长

44 days

期刊介绍： The Chinese Journal of Physics publishes important advances in various branches in physics, including statistical and biophysical physics, condensed matter physics, atomic/molecular physics, optics, particle physics and nuclear physics. The editors welcome manuscripts on: -General Physics: Statistical and Quantum Mechanics, etc.- Gravitation and Astrophysics- Elementary Particles and Fields- Nuclear Physics- Atomic, Molecular, and Optical Physics- Quantum Information and Quantum Computation- Fluid Dynamics, Nonlinear Dynamics, Chaos, and Complex Networks- Plasma and Beam Physics- Condensed Matter: Structure, etc.- Condensed Matter: Electronic Properties, etc.- Polymer, Soft Matter, Biological, and Interdisciplinary Physics. CJP publishes regular research papers, feature articles and review papers.