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We developed new relativistic lattice kinetic schemes to simulate fluid dynamics across various scales, from astrophysics to quark-gluon plasmas. These efficient methods handle both strongly and weakly interacting regimes for massless and massive particles.

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Area of Science:

  • Physics
  • Computational Physics
  • Relativistic Dynamics

Background:

  • Relativistic kinetic theory is crucial in astrophysics, subnuclear physics, and quark-gluon plasmas.
  • Accurate computational methods are needed for relativistic fluid dynamics and transitions to non-hydrodynamic regimes.

Purpose of the Study:

  • To present a family of relativistic lattice kinetic schemes.
  • To enable efficient simulation of relativistic flows across diverse interaction regimes.

Main Methods:

  • Development of relativistic lattice kinetic schemes.
  • Simulation of systems with both massless and massive particles.
  • Analysis of computational performance across fluid and rarefied gas regimes.

Main Results:

  • The proposed schemes efficiently simulate relativistic flows.
  • The methods are applicable to both strongly (fluid) and weakly (rarefied gas) interacting regimes.
  • The schemes handle both massless and massive particles, covering ultra- and mildly relativistic regimes.

Conclusions:

  • The relativistic lattice kinetic schemes offer an efficient approach for simulating relativistic flows.
  • These methods bridge fluid and ballistic regimes, applicable across various physical scales.
  • Future applications in diverse areas of relativistic physics are promising.