Abstract
The paper focuses primarily on a magnetohydrodynamical approach to solving the numerical problems arising in studying the high energy input technologies of the synthesis of new materials. The underlining mathematical model combines the description of both electromagnetic and hydrodynamic phenomena for the metals and surrounding media in supercritical conditions. A detailed specification of this model is provided. The crucial role of the correct choice of equation of state is outlined. The results section includes the latest finding regarding the numerical simulation of underwater electrical explosion.
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