Multiphase Compressibility Correction in Supersonic Vortex Lattice Method Using Lattice Boltzmann Approach

This research focuses on the complex interactions of fluid particles around lifting surfaces in high-speed flows. A compressibility correction is achieved using a multiphase solver that divides the computational domain into numerous cells, with the lifting surface represented as an obstacle matrix. This setup identifies elements as fluid particles or solid walls, enabling detailed mesoscopic-level fluid dynamics simulations. The computational solver iteratively calculates density and velocity distributions at lattice nodes and propagates these values to neighbouring cells to enforce boundary conditions. The BGK model's collision factor is crucial for determining density ratios and effective velocity components needed for accurate compressible flow modelling. This research explores the adaptability of the lattice Boltzmann method (LBM) with vortex lattice methods, which can characterize computational domains as isotropic or anisotropic to capture multiphase phenomena effectively. This versatile approach is essential for studying fluid-solid interactions in high-speed conditions, surpassing traditional methods. Additionally, integrating the compressibility correction within a vortex lattice method (VLM) framework enhances the understanding of multiphase fluid dynamics and boundary interactions at supersonic speeds. This combined approach addresses limitations in modelling individual fluid particles, providing a cheap alternate solution for simulating complex compressible flow dynamics.