fluid dynamics

Lattice Boltzmann Method-1

Kinetic Theory and micro-macro relations Pressure and Temperature are related to kinetic energy of particle as, Phase space and probability distribution function A coordinate system comprising position and velocity can be used to express the dynamics of a system. Such a system is called phase space. In general, the dynamics of a point in the …

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Governing equations

Notes from my favorite books and Material, substantial or total derivative The conservation laws like mass, momentum and energy naturally apply to moving material volumes of fluids, i.e., Lagrangian frame of reference . Hence we need to translate those into Eulerian reference frame, using Reynolds Transport Theorem Reynolds Transport Theorem Where, For the fixed control …

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