NUMERICAL SIMULATIONS BY GODUNOV-TYPE SCHEMES OF AIR-POLLUTANTS DYNAMICS

Abstract

In this paper several aspects associated with numerical simulations of hyperbolic equations are discussed. This presentation covers a range of modern shock-capturing schemes which are based on Godunov-type techniques. These schemes are well suited for strong shocks and other discontinuities, without generating spurious oscillations in the flow variables. An example of a performance of such schemes is provided to simulate the spatial distribution of air-pollutants which are emitted from a chimney. The simulations are performed in the framework of two-dimensional hydrodynamics, with a use of the CLAWPACK code [1]. The model reproduces several features of the distribution, including occurrence of vortices and plumes above the chimney.

Keywords

• numerical discretization
• hydrodynamic equations
• distribution of air-pollutants