Lagrangian magneto-hydrodynamics simulation for underwater electrical wire explosion

Liu Zhigang; Zou Xiaobing; Wang Xinxin

doi:10.11884/HPLPB202234.210433

Volume 34 Issue 7

May 2022

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Liu Zhigang, Zou Xiaobing, Wang Xinxin. Lagrangian magneto-hydrodynamics simulation for underwater electrical wire explosion[J]. High Power Laser and Particle Beams, 2022, 34: 075002. doi: 10.11884/HPLPB202234.210433

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Liu Zhigang, Zou Xiaobing, Wang Xinxin. Lagrangian magneto-hydrodynamics simulation for underwater electrical wire explosion[J]. High Power Laser and Particle Beams, 2022, 34: 075002. doi: 10.11884/HPLPB202234.210433

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Lagrangian magneto-hydrodynamics simulation for underwater electrical wire explosion

doi: 10.11884/HPLPB202234.210433

Department of Electrical Engineering, Tsinghua University, Beijing 100084, China

Received Date: 2021-10-14
Accepted Date: 2022-01-05
Rev Recd Date: 2021-12-22

Available Online: 2022-06-15

Publish Date: 2022-05-12

Abstract

Abstract

Based on the Lagrangian description, a single temperature magneto-hydrodynamics model of underwater electrical wire explosion is established, and a high-order mixed finite element method is used to solve this model. For the Lagrangian compressible fluid equations, velocity is discretized using the continuous high-order basis function in the H1 space, and internal energy is discretized using a L2 piecewise discontinuous high-order basis function for the precise capture of the material interface. A tensor artificial viscosity is introduced to suppress the numerical oscillation. Only the azimuthal magnetic flux density is contained in the magnetic diffusion equation, which is simplified to a scalar equation, and is discretized using continuous basis function. Joule heating and Lorenz force are introduced to couple hydrodynamics equations with magnetic field. Numerical results show that the magneto-diffusion solver can solve a multi-material magnetic diffusion problem, and the hydrodynamics solver can track the material interface and shock wave. Underwater electrical wire explosion is simulated based on the magneto-hydrodynamics solver coupled with RLC circuit, including phase transition, shock wave and different discharge modes.
- electrical explosion,
- discharge in water,
- magneto-hydrodynamics,
- mixed finite element,
- discharge mode

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References(30)

References

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