Titlebook: Lattice Boltzmann Method; Fundamentals and Eng A. A. Mohamad Book 20111st edition The Editor(s) (if applicable) and The Author(s), under ex

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The Diffusion Equation,as a first derivative in time, the diffusion is one directional in time, in other words, the diffusion at any point depends on the previous time and no information can be transferred from the future time. Also, it requires an initial condition to solve Eq. ..

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Non-Isothermal Incompressible Fluid Flow,ight and 120 cm in length. The inlet temperature and velocity of the water are 20°C and 0.006 m/s, respectively. The channel walls are kept at 80°C. Determine the velocity and temperature profiles and rate of heat transfer. Assume that the width of the channel is unity.

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,Advection–Diffusion Problems,In this chapter, the physics of advection and advection diffusion will be explained. Lattice Boltzmann method will be discussed for solving different advection–diffusion problems for one and two dimensional cases. Extending the method to three dimension problems is straightforward.

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Multi-Relaxation Schemes,Single relaxation scheme is extensively discussed and many problems were solved in the previous chapters. There is a claim that multi-relaxation schemes offer a higher stability and accuracy than the single relaxation scheme. This chapter is devoted to explain the multi-relaxation-time scheme.

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