Numerical Simulations of Nonstationary Fronts and Interfaces by the Godunov Method in Moving Grids

Abstract. High Energy Density (HED) physics spans over numerous areas of basic and applied physics, for example, astrophysics, planetary physics, geophysics, inertial fusion and many others. During the past fifteen years, great progress has been made on the development of bunched intense particle beams that have emerged as a novel tool for studying HED physics. In this paper we present two experiment designs that have been worked out for HED physics studies at the Facility for Antiprotons and Ion Research (FAIR) at Darmstadt. This facility has entered into construction phase and will provide one of the largest and most powerful particle accelerators in the world.

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“…In this section we present the numerical simulation results that have been obtained using a twodimensional hydrodynamic code, BIG2 [8].…”

Section: Numerical Simulation Resultsmentioning

confidence: 99%

High energy density physics studies using intense particle beams at the FAIR facility at Darmstadt

Tahir

Shutov²,

Piriz

et al. 2013

EPJ Web of Conferences

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“…The target length is 2 m and it has a radius of 5 cm. The simulations have been carried out using a two-dimensional computer code, BIG2, 36 that is based on a Godunov-type numerical scheme. Equation of state data from Refs.…”

Section: Hydrodynamic Simulation Resultsmentioning

confidence: 99%

“…Details about this code can be found elsewhere. 34,35 This energy loss data is then used as input to a two-dimensional hydrodynamic code, BIG2, 36 to study the target damaged caused by the beam.…”

Section: Energy Deposition By the Sps Protons In Tungstenmentioning

confidence: 99%

Generation of warm dense matter and strongly coupled plasmas using the High Radiation on Materials facility at the CERN Super Proton Synchrotron

et al. 2009

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A dedicated facility named High Radiation on Materials ͑HiRadMat͒ is being constructed at CERN to study the interaction of the 450 GeV protons generated by the Super Proton Synchrotron ͑SPS͒ with fixed solid targets of different materials. The main purpose of these future experiments is to study the generation and propagation of thermal shock waves in the target in order to assess the damage caused to the equipment, including collimators and absorbers, in case of an accident involving an uncontrolled release of the entire beam at a given point. Detailed numerical simulations of the beam-target interaction of several cases of interest have been carried out. In this paper we present simulations of the thermodynamic and the hydrodynamic response of a solid tungsten cylindrical target that is facially irradiated with the SPS beam with nominal parameters. These calculations have been carried out in two steps. First, the energy loss of the protons is calculated in the solid target using the FLUKA Nucl. Sci. Eng. 123, 169 ͑1996͔͒, which is based on a Godunov-type numerical scheme. The transverse intensity distribution in the beam focal spot is Gaussian. We consider three different sizes of the focal spot that are characterized by standard deviations, = 0.088, 0.28, and 0.88 mm, respectively. This study has shown that the target is severely damaged in all the three cases and the material in the beam-heated region is transformed into warm dense matter including a strongly coupled plasma state. This new experimental facility can therefore also be used for dedicated experiments to study high energy density matter.

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“…The computer code BIG-2 (Fortov et al, 1996) is based on a Godunov type scheme that has a second order accuracy in space for solving the hydrodynamic equations. It uses a rectangular mesh with moving grids and can handle complicated beam-target configurations.…”

Section: Two-dimensional Hydrodynamic Computer Code Big-2 and Semi-emmentioning

confidence: 99%

“…The FLUKA code described in Section 3 has been used to calculate the energy deposition in the target material by the protons and the secondary particles, and this data is used as input to a two-dimensional hydrodynamic code, BIG-2 (Fortov, 1996), to study the thermodynamic and hydrodynamic response of the heated targets.…”

Section: Introductionmentioning

confidence: 99%

Prospects of high energy density physics research using the CERN super proton synchrotron (SPS)

et al. 2007

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The Super Proton Synchrotron (SPS) will serve as an injector to the Large Hadron Collider (LHC) at CERN as well as it is used to accelerate and extract proton beams for fixed target experiments. In either case, safety of operation is a very important issue that needs to be carefully addressed. This paper presents detailed numerical simulations of the thermodynamic and hydrodynamic response of solid targets made of copper and tungsten that experience impact of a full SPS beam comprized of 288 bunches of 450 GeV/c protons. These simulations have shown that the material will be seriously damaged if such an accident happens. An interesting outcome of this work is that the SPS can be used to carry out dedicated experiments to study High Energy Density (HED) states in matter.

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Numerical Simulations of Nonstationary Fronts and Interfaces by the Godunov Method in Moving Grids

Cited by 109 publications

References 23 publications

High energy density physics studies using intense particle beams at the FAIR facility at Darmstadt

High energy density physics studies using intense particle beams at the FAIR facility at Darmstadt

Generation of warm dense matter and strongly coupled plasmas using the High Radiation on Materials facility at the CERN Super Proton Synchrotron

Prospects of high energy density physics research using the CERN super proton synchrotron (SPS)

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