Turbulence simulation by adaptive multi-relaxation lattice boltzmann modeling.

Area of Science:

• Computational fluid dynamics
• Scientific visualization
• Numerical analysis

Background:

• Lattice Boltzmann Equation (LBE) methods are widely used for fluid simulations.
• Standard LBE collision models often lack stability and accuracy for turbulent flows.
• Existing methods struggle to capture fine-scale turbulence details effectively.

Purpose of the Study:

• To develop a novel, stable, and accurate simulation method for turbulent flows using LBE.
• To enhance the collision-term modeling within the Multiple Relaxation Time LBE (MRT-LBE) framework.
• To achieve visually detailed simulations of high Reynolds number turbulent flows.

Main Methods:

• Implemented an adaptive multirelaxation scheme within the MRT-LBE framework.
• Employed renormalization group analysis and adaptive correction for computing eddy viscosities.
• Developed a method to simultaneously predict multiple eddy viscosities for enhanced stability.

Main Results:

• Achieved stable simulations of turbulent flows with high Reynolds numbers.
• Enabled simulation of fine-scale turbulence details on coarse grid configurations.
• Produced visually rich smoke animations demonstrating the method's effectiveness.

Conclusions:

• The proposed adaptive MRT-LBE scheme significantly enhances stability and accuracy for turbulent flow simulations.
• This novel approach allows for detailed visualization of complex turbulent phenomena.
• The method offers a robust solution for simulating high Reynolds number flows in graphics and scientific computing.