2024/03/12 by Guanghan Li, Li, Guanghan, Chunwu Wang +3
Engineering · #65B99 #65M55 #76P05 #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Fluid Dynamics Simulations and Interactions #Lattice Boltzmann Simulation Studies #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.2403.07358
openalex publication_date 2024/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
We develop a novel fast iterative moment method for the steady-state simulation of near-continuum flows, which are modeled by the high-order moment system derived from the Boltzmann-BGK equation. The fast convergence of the present method is mainly achieved by alternately solving the moment system and the hydrodynamic equations with consistent constitutive relations and boundary conditions. To be specific, the consistent hydrodynamic equations are solved in each alternating iteration to obtain improved predictions of macroscopic quantities, which are subsequently utilized to expedite the evolution of the moment system. Additionally, a semi-implicit scheme treating the collision term implicitly is introduced for the moment system. The resulting alternating iteration can be further accelerated by employing the Gauss-Seidel method with a cell-by-cell sweeping strategy. It is also noteworthy that such an alternating iteration works well with the nonlinear multigrid method. Numerical experiments for planar Couette flow, shock structure, and lid-driven cavity flow are carried out to investigate the performance of the proposed fast iterative moment method. All results show impressive efficiency and robustness.