Non-Equilibrium Extrapolation Method for Boundary Conditions
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This program utilizes the lattice Boltzmann method to solve fluid dynamics problems. The method simulates fluid behavior through discretization of velocity distribution functions. For boundary condition treatment, we implemented a non-equilibrium extrapolation approach that provides more accurate physical process simulations. The implementation involves calculating non-equilibrium components at boundary nodes and extrapolating them from neighboring fluid nodes using appropriate weighting schemes. This method demonstrates enhanced stability and accuracy compared to standard bounce-back schemes. Our testing shows this boundary treatment approach is not only applicable to fluid dynamics models but can also be effectively adapted to other computational models requiring boundary condition handling. Therefore, we believe this program will be highly beneficial for researchers in fluid mechanics and related scientific fields working with lattice-based computational methods.
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