Two - Dimensional Three - Temperature Radiation Magneto - Fluid Mechanics For A Class Of Finite Voxels And Its Application In Z - Pinch Implosion Kinetics

Z-Pinch of plasma is the r-direction self-pinch effect which is caused by Lorentz force under strong z-direction currents. It has bright and significant prospect of application in:Inertial confinement fusion(ICF) and researching high pressure state equation of materials. As one of the most important methods in studying Z-Pinch, numeric simulation of radioactive Magnetohydrodynamics (MHD) is useful in knowing and understanding some basic scientific questions such as how the instability of plasma occurs and develops during the process of Z-Pinch Implosion, the collapse and shrinking of plasma and radioactive transportation. It is also crucial in optimizing the experiment design of Z-Pinch.Given the inefficiency of two-dimensional, monotemperature, radioactive MHD code MDSC in Z-Pinch numeric simulation, this paper puts forward finite difference method based on MDSC and adopts tritemperature, radioactive MHD model and develops numeric simulation method of two-dimensional, tritemperature, radioactive Magnetohydrodynamics. Concerning the critical problem of solving two-dimensional, tritemperature thennal diffusion equations, we put forward symmetry-guaranteed finite element forms, namely, SFVE Form through the cooperation with Xiangtan University. Compared with the traditional nine-point difference form, symmetry-guaranteed finite element forms have obvious advantages in quickly solving convergence precision of non-orthogonal grid and the corresponding dispersion system. Through the finite difference method based on MDSC and finite element forms of thermal diffusion equations in MDSC2, we developed the calculation method of two-dimensional, tritemperature, radioactive MHD and designed two-dimensional, tritemperature, radioactive MHD code---MDSC2, thus having the numeric simulation capability of two-dimensional, tritemperature, radioactive MHD.To follow the principle of verification and validation in numeric simulation, we managed to carry out the preliminary verification of two-dimensional, tritemperature, radioactive MHD code (MDSC2). The results show that the new thermal diffusion module is well symmetrical and conforms to the physical law. SFVE Form are more efficient in calculating dynamic process of thin target implosion. MDSC2shares some similarity with MDSC in numerically simulating some problems. By applying MDSC, we developed numeric simulation of non-impact compression process of magnet-driven solid liner implosion and explored how the impact waves occurred, under what conditions and the inner material state of the liner. Concerning the specific load currents (PTS Shot37) of the experiment sets, the liner gets the largest non-impact compression power (63GPa) when the current is7.5MA and the current increasing time is303ns. This result provides reference data for non-impact compression experiment design of magnet-driven implosion. In the end, we analyzed and compared the three magnet-driven implosion dynamic models mentioned in the relevant literature, discussed the difference between MDSC and MDSC2and explained the reason of the difference. MDSC is suitable to calculate low-temperature load and MDSC2code better matches the calculation module with high-temperature load.