Integrating a Stabilized Radial Basis Function Method with Lattice Boltzmann Method

The lattice Boltzmann method (LBM) has two key steps: collision and streaming. In a conventional LBM, the streaming is exact, where each distribution function perfectly shifted to neighbor node on uniform mesh arrangement. This advantage may curtail applicability of problems with complex geometries. To overcome this issue, high-order meshless interpolation-based approach proposed handle step. Owing its high accuracy, radial basis (RBF) one popular methods used for interpolation. general, RBF-based approaches suffer from some stability issues, their strongly depends shape parameter RBF. current work, stabilized RBF weak dependency parameter, which improves reduces parameter. Both LBM are solving three benchmark problems. results perfect compared analytical solutions or published results. Excellent agreements observed, little approach. Additionally, computational cost compared, marginal difference observed in favor LBM. conclusion, could report that viable alternative handling both simple