Numerical simulations by Godunov-type schemes of air-pollutant dynamics

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 (R.J.LeVeque, CLAWPACK User Notes, Applied Mathematics,Univ. of Washington, Seattle, 1997a). The model reproduces several features of the distribution, including occurrence of vortices and plumes above the chimney.