Grid refinement in the three-dimensional hybrid recursive regularized lattice Boltzmann method for compressible...

Area of Science:

• Computational Fluid Dynamics (CFD)
• Aerodynamics
• Numerical Methods

Background:

• Accurate simulation of thin shear layers in aerodynamics requires fine grids.
• Cartesian grid-based CFD methods necessitate efficient grid refinement strategies.
• Existing methods may struggle with complex flow phenomena and high-speed regimes.

Purpose of the Study:

• To develop a novel three-dimensional grid refinement technique for CFD.
• To integrate this technique within the hybrid recursive regularized lattice Boltzmann method (HRR-LBM).
• To enhance the simulation of compressible high-speed aerodynamic flows.

Main Methods:

• Implementation of a 3D grid refinement strategy within the HRR-LBM framework.
• Utilizing a compact D3Q19 stencil for an efficient collide-stream approach.
• Testing the method on challenging aerodynamic flow cases.

Main Results:

• Successful application of the grid refinement technique in various test cases.
• Accurate capture of flow features like transition interfaces and shock-vortex interactions.
• Demonstrated capability for simulating transonic flows over complex geometries (DLR-M6 wing) with multiple refinement levels.

Conclusions:

• The proposed 3D grid refinement technique is effective for HRR-LBM.
• It significantly improves the accuracy of simulating compressible high-speed aerodynamic flows.
• The method shows promise for complex aerodynamic simulations requiring high resolution.