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

• Autorzy: Murawski K. , Michalczyk J. K.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

numerical simulation; numerical discretization; hydrodynamic equations; distrubution of air-pollutants

• Wydawca: Politechnika Gdańska
• Czasopismo: TASK Quarterly : scientific bulletin of Academic Computer Centre in Gdansk
• Rocznik: 2001
• Tom: Vol. 5, No 2
• Strony: 207--228
• Opis fizyczny: Bibliogr. 27 poz., rys.

Twórcy

autor

Murawski K.

• Department of Environmental Physics, Institute of Environmental Protection Engineering, Technical University of Lublin, Wapienna 40B, 20-618 Lublin, Poland

autor

Michalczyk J. K.

• Department of Environmental Physics, Institute of Environmental Protection Engineering, Technical University of Lublin, Wapienna 40B, 20-618 Lublin, Poland

Bibliografia

• [1] LeVeque R J 1997 CLAWPACK User Notes Applied Mathematics, Univ. of Washington, Washington, Seattle
• [2] Straszko J, Fidecka M and Paulo L A 1997 Estimation of the quality of the air in the industrial regions Ochrona powietrza i problemy odpad´ow 3 74-82 (in Polish)
• [3] Tanaka T and Murawski K 1997 J. Geophys. Res. 102 19805
• [4] Yee H C 1989 A class of high-resolution explicit and implicit shock-capturing methods NASA Tech. Memo. 101088 and von Karman Institute for Fluid Dynamics Lecture Ser. 1989-04, Rhode-St-Genese, Belgium
• [5] De Sterck H and Vanden Abeele D 1997 EMMAD: a general code for the numerical solution of the equations of MHD on a structured non Cartesian grid (in preparation)
• [6] Godunov S K 1959 Math. Sb. 47 271
• [7] van Leer B 1979 J. Comp. Phys. 32 101
• [8] Dai W and Woodward P R 1994 J. Comp. Phys. 115 485
• [9] Casper J and Atkins 1993 J. Comp. Phys. 106 62
• [10] Harten A 1989 J. Comp. Phys. 83 148
• [11] Liu X D, Osher S and Chan T 1994 J. Comp. Phys. 115 200
• [12] Dai W and Woodward P R 1994 J. Comp. Phys. 111 354
• [13] Roe P L 1981 J. Comp. Phys. 43 357
• [14] Woodward P R and Colella P 1984 J. Comp. Phys. 54 115
• [15] LeVeque R J 1997 J. Comp. Phys. 131 327
• [16] Donat R and Marquina A 1996 J. Comp. Phys. 125 42
• [17] Einfeld B, Munz C D, Roe P L and Sj¨ogreen B 1991 J. Comp. Phys. 92 273
• [18] Harten A and Hyman J M 1983 J. Comp. Phys. 50 235
• [19] Murawski K and Goossens M 1994 Astron. Astrophys. 286 943
• [20] Stone J M and Norman M L 1992 I. The hydrodynamic algorithms and tests. Astrophys. J. 80 753
• [21] LeVeque R J 1996 Private communication
• [22] Colella P 1990 J. Comp. Phys. 87 171
• [23] Michalczyk J K and Murawski K 1999 Numerical modeling of the continuous emission of the air pollutants Ochrona powietrza i problemy odpadów 6 211-218 (in Polish)
• [24] Michalczyk J K, Murawski K and Pawłowski L 1999 Proposals of the numerical simulations of the spreading of pollutants in the ambient air Ochrona powietrza i problemy odpadów 2 50-53 (in Polish)
• [25] LeVeque R J 1998 J. Comp. Phys. 146 346
• [26] Orlanski I 1976 J. Comp. Phys. 21 251
• [27] Frisch U 1995 Turbulence Cambridge Univ. Press, Cambridge