The hydrodynamical modeling of the Supernovae Ia explosion by means adaptive nested meshes on supercomputers

The results of the study of an explosion point of supernova type Ia (SNIa) with using of mathematical modeling on supercomputers is given in the paper. Hydrodynamical model closed by the stellar equation of state and supplemented by Poisson equation for gravitational potential is used for modeling o...

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Vydáno v:Journal of physics. Conference series Ročník 1268; číslo 1; s. 12038 - 12043
Hlavní autoři: Kulikov, Igor, Chernykh, Igor, Protasov, Viktor
Médium: Journal Article
Jazyk:angličtina
Vydáno: Bristol IOP Publishing 01.07.2019
Témata:
Carbon
Combustion
Distributed memory
Equations of state
Evolution
Exact solutions
Godunov method
Numerical methods
Physics
Poisson equation
Supercomputers
Supernovae
White dwarf stars
ISSN:1742-6588, 1742-6596
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Abstract The results of the study of an explosion point of supernova type Ia (SNIa) with using of mathematical modeling on supercomputers is given in the paper. Hydrodynamical model closed by the stellar equation of state and supplemented by Poisson equation for gravitational potential is used for modeling of a white dwarf. The nuclear combustion of carbon, for which the analytical solution is constructed, is accounted in the model. A multilevel organization of computations on nested grids is used in the solution. The new highorder accuracy numerical method based on the Godunov method, the Rusanov scheme and the piecewise parabolic method on local stencil, adapted for computations on nested grids, is built. The parallel implementation is based on the idea of distributed computations, where the architecture with shared memory is used for modeling of the hydrodynamic evolution of white dwarfs, when the critical values of temperature and density are reached, a new task is launched on the architecture with distributed memory, in which the evolution of hydrodynamic turbulence leading to supersonic nuclear combustion of carbon is simulated.
AbstractList The results of the study of an explosion point of supernova type Ia (SNIa) with using of mathematical modeling on supercomputers is given in the paper. Hydrodynamical model closed by the stellar equation of state and supplemented by Poisson equation for gravitational potential is used for modeling of a white dwarf. The nuclear combustion of carbon, for which the analytical solution is constructed, is accounted in the model. A multilevel organization of computations on nested grids is used in the solution. The new highorder accuracy numerical method based on the Godunov method, the Rusanov scheme and the piecewise parabolic method on local stencil, adapted for computations on nested grids, is built. The parallel implementation is based on the idea of distributed computations, where the architecture with shared memory is used for modeling of the hydrodynamic evolution of white dwarfs, when the critical values of temperature and density are reached, a new task is launched on the architecture with distributed memory, in which the evolution of hydrodynamic turbulence leading to supersonic nuclear combustion of carbon is simulated.
Author Kulikov, Igor
Protasov, Viktor
Chernykh, Igor
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  fullname: Chernykh, Igor
  organization: Institute of Computational Mathematics and Mathematical Geophysics SB RAS , Russia
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  givenname: Viktor
  surname: Protasov
  fullname: Protasov, Viktor
  organization: Institute of Computational Mathematics and Mathematical Geophysics SB RAS , Russia
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10.1086/306672
10.1134/S0965542514060086
10.1086/305972
10.1515/jiip.2011.027
10.1103/PhysRevLett.98.122501
10.1086/313271
10.1016/j.jcp.2016.04.057
10.1007/978-3-642-03275-2_41
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SubjectTerms Carbon
Combustion
Distributed memory
Equations of state
Evolution
Exact solutions
Godunov method
Numerical methods
Physics
Poisson equation
Supercomputers
Supernovae
White dwarf stars
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Title The hydrodynamical modeling of the Supernovae Ia explosion by means adaptive nested meshes on supercomputers
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