Abstract:
Conventional computational fluid dynamics (CFD) involves solving the
Navier-Stokes' (NS) PDEs using numerical techniques. While sophisticated
algorithms have been developed to accomplish this task, solution of
these PDEs is still a complex and time consuming task. A relatively
recent advance in CFD is the use of Lattice Boltzmann (LB) technique to
obtain the macroscopic variables (velocity, pressure, etc.) without
solving the NS equations. This is accomplished by constructing a
microscopic system of fictitious particles whose interaction dynamics is
designed to obtain a macroscopic bahaviour consistent with the behaviour
obtained by solving the NS equations. The method borrows the techniques
of the kinetic theory of gasses for designing the particle dynamics. In
this talk, we will discuss the evolution of LB techniques from the
related lattice gas techniques, the promise and challenges of using the
technique and an application of the method to solve a moving-boundary
problem in a biological system.