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Abstract <p>The virtual point source method has been traditionally and effectively used to simulate the atmospheric dispersion of pollutants from a volume source and to study building wake effects downwind of pollutant plumes. Various virtual source formulations are available in the literature, each applicable under specific conditions. In the present study, we aim to develop new, improved relations for the virtual point source method that provide more representative values across all possible scenarios. To assess the applicability of different virtual source formulations, we derived a semi-analytical solution for the steady-state advection–diffusion equation, which describes the continuous atmospheric release of pollutants from a volume source. By comparing the results of this derived solution with those obtained using traditional virtual point source approaches, our proposed formulations demonstrate general applicability to all scenarios related to release height, receptor location, atmospheric stability categories, and dispersion parameterization schemes. This offers a significant advantage over formulations previously reported in the literature.</p> Research highlights <p><UnorderedList Mark="Bullet"> <ItemContent> <p>Derived a semi-analytical solution for estimating the steady-state concentration due to continuous atmospheric release from a volume source.</p> </ItemContent> <ItemContent> <p>Assessed the validity and applicability of various virtual point source formulations available in the literature.</p> </ItemContent> <ItemContent> <p>Proposed new formulations for treating the volume source using the virtual point source method.</p> </ItemContent> <ItemContent> <p>Provided a single general virtual source formulation applicable to all types of scenarios, release and receptor height, atmospheric stability categories, and dispersion parameterization schemes.</p> </ItemContent> </UnorderedList></p>

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Improved virtual point source formulation for continuous atmospheric release of pollutant from a volume source

  • 期刊论文

  • 发表日期：

    2026年4月30日

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  • Manish Chopra,
  • R B Oza,
  • R Shrivastava,
  • Indumathi S Iyer,
  • Anmol Batra

摘要

Abstract

The virtual point source method has been traditionally and effectively used to simulate the atmospheric dispersion of pollutants from a volume source and to study building wake effects downwind of pollutant plumes. Various virtual source formulations are available in the literature, each applicable under specific conditions. In the present study, we aim to develop new, improved relations for the virtual point source method that provide more representative values across all possible scenarios. To assess the applicability of different virtual source formulations, we derived a semi-analytical solution for the steady-state advection–diffusion equation, which describes the continuous atmospheric release of pollutants from a volume source. By comparing the results of this derived solution with those obtained using traditional virtual point source approaches, our proposed formulations demonstrate general applicability to all scenarios related to release height, receptor location, atmospheric stability categories, and dispersion parameterization schemes. This offers a significant advantage over formulations previously reported in the literature.

Research highlights

Derived a semi-analytical solution for estimating the steady-state concentration due to continuous atmospheric release from a volume source.

Assessed the validity and applicability of various virtual point source formulations available in the literature.

Proposed new formulations for treating the volume source using the virtual point source method.

Provided a single general virtual source formulation applicable to all types of scenarios, release and receptor height, atmospheric stability categories, and dispersion parameterization schemes.