A Generalized Relaxation Method for Transport and Diffusion of Pollutant Models in Shallow Water
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| 024 | 7 | 0 | |a 10.2478/cmam-2004-0023 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.2478/cmam-2004-0023 | ||
| 245 | 0 | 2 | |a A Generalized Relaxation Method for Transport and Diffusion of Pollutant Models in Shallow Water |h [Elektronische Daten] |
| 520 | 3 | |a We present a numerical method based on finite difference relaxation approximations for computing the transport and diffusion of a passive pollutant by a water flow. The flow is modeled by the well-known shallow water equations and the pollutant propagation is described by a transport equation. The previously developed nonoscillatory relaxation scheme is generalized to cover problems with pollutant trans- port, in one and two dimensions and source terms, resulting in a class of methods of the first and the second order of accuracy in space and time. The methods are based on the classical relaxation models combined with a Runge-Kutta time splitting scheme, where neither Riemann solvers nor characteristic decompositions are needed. Numerical results are presented for several benchmark test problems. The schemes presented are verified by comparing the results with documented ones, proving that no special treatment is needed for the transport equation in order to obtain accurate results. | |
| 540 | |a This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. | ||
| 690 | 7 | |a Shallow Water Equations |2 nationallicence | |
| 690 | 7 | |a Relaxation Schemes |2 nationallicence | |
| 690 | 7 | |a Finite Differences |2 nationallicence | |
| 690 | 7 | |a TVD |2 nationallicence | |
| 690 | 7 | |a Transport and Diffusion of Pollutant |2 nationallicence | |
| 690 | 7 | |a Source Terms |2 nationallicence | |
| 700 | 1 | |a Delis |D A.I. |u Department of Sciences, Division of Mathematics, Technical University of Crete, University Campus, Chania 73100, Crete, Greece. | |
| 700 | 1 | |a Katsaounis |D Th |u Institute of Mathematics, National Academy of Sciences, 3 Tereschenkivska Str., 01601 Kyiv, Ukraine. Institute of Applied and Computational Mathematics, FORTH, Heraklion 71110, Crete, Greece. | |
| 773 | 0 | |t Computational Methods in Applied Mathematics |d De Gruyter |g 4/4(2004), 410-430 |x 1609-4840 |q 4:4<410 |1 2004 |2 4 |o cmam | |
| 856 | 4 | 0 | |u https://doi.org/10.2478/cmam-2004-0023 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.2478/cmam-2004-0023 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Delis |D A.I. |u Department of Sciences, Division of Mathematics, Technical University of Crete, University Campus, Chania 73100, Crete, Greece | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Katsaounis |D Th |u Institute of Mathematics, National Academy of Sciences, 3 Tereschenkivska Str., 01601 Kyiv, Ukraine. Institute of Applied and Computational Mathematics, FORTH, Heraklion 71110, Crete, Greece | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Computational Methods in Applied Mathematics |d De Gruyter |g 4/4(2004), 410-430 |x 1609-4840 |q 4:4<410 |1 2004 |2 4 |o cmam | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
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| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||