基于可压缩多相流模型的舰艇附近水下爆炸数值模拟

俞万里; 杨澳; 汤兆烈; 程晗; 张之阳; 刘葳兴

doi:10.12382/bgxb.2024.0956

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基于可压缩多相流模型的舰艇附近水下爆炸数值模拟

更新时间：2025-10-21

- 基于可压缩多相流模型的舰艇附近水下爆炸数值模拟
- Numerical Simulation of Underwater Explosions Near a Naval Vessel Based on a Compressible Multi-fluid Model
- 兵工学报 2025年46卷第9期页码：240956
- 作者机构：
  
  1. 江苏海洋大学海洋工程学院, 江苏连云港 222005
  2. 江苏海洋大学马卡洛夫海洋工程学院, 江苏连云港 222005
- 作者简介：
  
  * tangzl@jou.edu.cn
- 基金信息：
  
  国家自然科学基金项目(52471284);国家自然科学基金项目(52101356);教育部产学合作协同育人项目(220903032144805);连云港市重点研发计划项目(CG2224);连云港市第六期“521工程”科研计划项目(LYG06521202337);江苏省“青蓝工程”优秀青年骨干教师资助项目(2024年)
- DOI：10.12382/bgxb.2024.0956
  中图分类号：
- 收稿：2024-10-15，
  
  网络出版：2025-09-24，
  
  纸质出版：2025-09-30
- 稿件说明：
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俞万里, 杨澳, 汤兆烈, 等. 基于可压缩多相流模型的舰艇附近水下爆炸数值模拟[J]. 兵工学报, 2025,46(9):240956.

Wanli YU, Ao YANG, Zhaolie TANG, et al. Numerical Simulation of Underwater Explosions Near a Naval Vessel Based on a Compressible Multi-fluid Model[J]. Acta Armamentarii, 2025, 46(9): 240956.
俞万里, 杨澳, 汤兆烈, 等. 基于可压缩多相流模型的舰艇附近水下爆炸数值模拟[J]. 兵工学报, 2025,46(9):240956. DOI： 10.12382/bgxb.2024.0956.

Wanli YU, Ao YANG, Zhaolie TANG, et al. Numerical Simulation of Underwater Explosions Near a Naval Vessel Based on a Compressible Multi-fluid Model[J]. Acta Armamentarii, 2025, 46(9): 240956. DOI： 10.12382/bgxb.2024.0956.

摘要

研究舰艇附近水下爆炸问题对船体结构设计、爆炸冲击损害预测及人员安全保障至关重要。为此

提出改进扩散界面法中的六方程可压多相流模型以解决冲击波条件下热力学状态预测偏差

并为相关抗冲击机理研究与数值方法优化提供支撑。通过引入混合能量校正方程及更精确的气体状态方程改进模型

在非结构网格系统构建数值算法程序

采用基于最小二乘重建和 Barth-Jespersen 限制器的二阶守恒定律的单调上游中心方案(Monotonic Upstream-centered Scheme for Conservation Laws

MUSCL)-Hancock 格式、两相流带接触的Harten-Lax-van Leer(Harten-Lax-van Leer Contact

HLLC) 黎曼求解器求解齐次双曲型方程

以 Newton-Raphson 迭代法求解瞬时压力松弛方程。研究结果表明:混合能量方程校正后

模型模拟流体冲击波速度和界面的结果与欧拉方程精确解高度吻合

解决界面附近数值振荡问题;相较于实验数据

改进型模型相对误差 1.13%

准确度提升 0.33%

且通过拟合冲击 Hugoniot 曲线获得更精确的刚性气体状态方程(Stiffened Gas Equation of State

SG-EOS)参数

同时可清晰呈现水下爆炸的冲击波传播、气泡胀缩及坍塌水射流现象

但在气泡界面清晰度、射流精细度上存在缺陷

主要受数值格式极端梯度下耗散特性限制。综上

改进型六方程可压多相流模型有效提升了舰艇附近水下爆炸模拟准确性

为深入研究舰艇抗冲击机理提供重要支撑

也为后续相关数值方法的优化奠定了坚实基础。

Abstract

Studying underwater explosions near warships is crucial for hull structure design

explosion impact damage prediction

and personnel safety.To this end

an improved six-equation compressible multiphase flow model based on the diffuse interface method is proposed to resolve thermodynamic state prediction deviation under shock waves and support anti-shock mechanism research and numerical method optimization.The model is improved via a hybrid energy correction equation and a more accurate gas equation of state.A numerical algorithm on an unstructured grid system is constructed

adopting the second-order MUSCL-Hancock scheme (with least-squares reconstruction and Barth-Jespersen limiter) and two-phase HLLC Riemann solver to solve homogeneous hyperbolic equations

and Newton-Raphson iteration for instantaneous pressure relaxation equation.Results show that after total energy equation correction

the model’s simulation of shock wave velocity and interface is highly consistent with the Euler equation’s exact solution

resolving near-interface numerical oscillation.Compared with experimental data

the improved model has a 1.13% relative error and 0.33% higher accuracy; more accurate SG-EOS parameters are obtained by fitting the shock Hugoniot curve.It also clearly shows underwater explosion phenomena:shock wave propagation

bubble expansion-contraction

and bubble collapse water jet.However

it has deficiencies in bubble interface clarity and jet precision

mainly limited by numerical scheme dissipation under extreme gradients.In conclusion

the improved model effectively enhances the accuracy of simulating underwater explosions near naval vessels

supports in-depth warship anti-shock mechanism research

and lays a solid foundation for future numerical method optimization.

关键词

Keywords

references

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