A fluid with broken time-reversal symmetry would exhibit odd transport coefficients, such as odd viscosity, thermal conductivity, and diffusion coefficient, which may fundamentally alter the fluid properties and significantly influence the structure and dynamics of immersed objects. Here, we develop an efficient coarse-grained simulation approach for the odd fluid that captures all essential features of real odd fluids. Based on microscopic kinetic theory, we analytically derive the transport coefficients of the mesoscale odd fluid. We validate this approach by performing both simulations and theoretical calculations to explore the intricate transport phenomena of the odd fluid under various external drivings. Furthermore, we demonstrate that colloidal particles in the odd fluid exhibit unusual dynamic behavior.

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• Transport phenomena
• Complex fluids
• Coarse graining