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I present an approach to modeling a turbulent single-phase jet and the boundary conditions of the flow using the Lattice Boltzmann Method (LBM). The method employs a regularized version of the Boltzmann equation that incorporates a formulation for the BGK collision operator. The reconstruction of regularized particle populations is based on fourth-order moments of the distribution function based on the application of Hermite polynomials. Based on the work of (Hegele.Jr et al. 2018), our approach reconstructs unknown moments by means of known particle populations on the boundaries of the boundary conditions, leading to a system of equations solved according to the method. The three-dimensional mesh D3Q19 and D3Q27 is considered for the solution of the jet flow as a reference test. Comparison with literature solutions shows agreement, validating the effectiveness of the proposed method. The high-order model is tested for a flow with Re = 2000 in a periodic domain for the faces parallel to the fluid flow. The lattice Boltzmann method allows simulations of stable flows with low viscosity levels, which makes it possible to obtain a high Re. The proposed model makes it possible to carry out a high-performance simulation to test the processing capacity of a GPU and obtain accurate results in a relatively short period of time compared to other methods for simulating the flow of a fluid. The mesh used for the simulation has [256, 1028, 256] grid points in [x, y, z] for a Cartesian coordinate system, resulting in a total of 6.7 x 107 calculations performed per time step over a period of 9000 seconds, which results in a total of 7485 operations per second. Finally, the results obtained show compatibility with the experimental results and it is possible to confirm that the bechmark performed has a high level of processing while maintaining accuracy.