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The Multiscale Advection Diffusion Analysis Lab (MADAL) conducts advanced research using Boltzmann models to address complex thermos-fluids transport phenomena in various fields. By utilizing the inherent strengths of Boltzmann models, MADAL provides highly accurate, computationally efficient solutions, facilitating breakthroughs particularly in scenarios involving multi-physics, nonlinear and multiscale thermos-fluids transport phenomena. MADAL’s research supports critical advancements in mechanical, biomedical, energy, aerospace and environmental technologies.

Research Projects

Due to the versatility of the Boltzmann models, many conventional and unconventional thermos-fluids transport problems can benefit from fast and accurate Boltzmann simulations. Some of the ongoing projects include:

Plasma Dynamics

Plasma flows have diverse applications across various fields. They are integral in advanced propulsion systems, such as plasma thrusters for spacecraft and in fusion reactors for energy generation. Plasma flows also play a crucial role in laser-plasma interactions, materials processing, semiconductor manufacturing and astrophysical phenomena, highlighting their broad significance in both industrial and scientific research contexts. MADAL specializes in the development of Boltzmann models for plasma problems such as low-temperature plasma, pulsating plasma and plasma-surface interactions.

Porous Media Flow

Porous media flow describes fluid dynamics through permeable materials composed of interconnected pores, which significantly influence fluid transport phenomena. Such flows are prevalent in numerous practical applications, including groundwater hydrology, petroleum reservoir engineering, fuel cells, biomedical engineering and filtration processes. MADAL has pioneered the Meshless Discrete Boltzmann Method (MDBM), offering distinct advantages for modeling porous media flows with the presence of complex flow boundaries.

Multiphase and Multicomponent Flow

Multiphase and multicomponent flows have extensive applications in industries and scientific research, including oil and gas extraction, chemical processing, thermal power generation, refrigeration systems and nuclear reactors. They are also essential in biological systems, environmental remediation and microfluidics, where understanding phase interactions significantly improves design, efficiency and safety. MADAL has been developing Boltzmann models for different multiphase and multicomponent flows for thermal and isothermal processes