Global Numerical Modeling of the Muon Collider Target

Physics – Fluid Dynamics

Scientific paper

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Scientific paper

The problem of free surface instabilities is the major concern in the study of the Muon Collider target. The target is in the form of a mercury jet interacting with high energy proton beams in the presence of a strong magnetic field. Strong pressure waves caused by the target - proton beam interaction lead to strong disturbances of the jet surface and to the jet breakup into droplets. The global numerical simulation of the Muon Collider target was done by using FronTier, a compressible fluid dynamics code. FronTier is capable to work with free surfaces and, in particular, to model the propagation of free jets. The code is based on the method of front tracking, a numerical technique for solving systems of conservation laws in which the evolution of discontinuities is determined through the solution of the associated Riemann problem. To model the behavior of the real material (mercury) under the influence of proton beams a SESAME type tabulated equation of state for mercury was created in a wide temperature - density domain which includes the fluid state of mercury, the vapor state and the state above the critical point. The numerical simulation of the target evolution driven by strong pressure waves is important for the optimal target design.

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