Article · Computation · November 7, 2026
Verification and Validation of a Conservative Finite-Volume Core for Urban Pollutant Dispersion
Bakhtiyor Boborakhimov, Daler Kuchkarovich Sharipov, Farrukh Muradov, Nadira N. Tashtemirova, Parvizjon A. Nasrullayev, Azim A. Rahmanov
Abstract
We report the verification and validation of the numerical core of an atmospheric flow and pollutant-dispersion module, in which the Reynolds-averaged Navier–Stokes equations with a k–ε closure and an advection–diffusion equation for pollutants are discretised by a conservative finite-volume method. Convective schemes, linear solvers and the pressure-correction algorithm were tested against manufactured solutions, a Poisson problem, a positivity problem and the lid-driven cavity. The street-canyon prototype itself was verified with a manufactured solution on its own grid, a turbulent-channel test of the wall functions and an empty-domain test of the inflow profiles; these tests revealed two implementation errors, which were corrected. The corrected model, with standard constants, was validated against the Karlsruhe street-canyon wind-tunnel data, and the computed wall concentrations agree with the measurements within a factor of two. A sensitivity study was carried out to assess the effect of the grid, the turbulent Schmidt number, the inflow turbulence, the convective scheme and the domain size on the results.
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