Young Teams Research Project PN-II-RU-TE-2014-4-2910
2015 - 2017
supported by CNCS - UEFISCDI / Contract number 309/01.10.2015
The construction of lattice Boltzmann models for the simulation of relativistic gas flows is a relatively new research field. We propose to contribute to this field by reformulating the formalism of the Boltzmann equation and the method for the discretisation of the momentum space using the tetrad formalism, through which the mass-shell condition is decoupled from the space-time geometry. Furthermore, we propose the development of lattice Boltzmann models of arbitrary order using modern quadrature methods, valid for particles of arbitrary masses. Finally, we propose the application of the methodology described above to the study of gas flows in general relativity (flows on a gravitational wave background, scattering of gas on black hole space-times, thermal states on rotating space-times, etc).