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2db numerical simulations of incompressible environmental flows

doi: 10.6062/jcis.2011.02.03.0043 (Free PDF)

Authors

Ribeiro de Lima L. M., Mangiavacchi N., Pontes J., Soares, C. B. P

Abstract

Many impacts associated to environmental flows strongly depend on the depth of the aquatic body, such as thermal and hydraulic stratifications, which can lead to formation of layers with different concentrations of oxygen and nutrients. To simulate such problems numerically, for many applications, the most efficient approach is a laterally averaged model (2db), rather than a 3d approach. This paper presents a laterally averaged Finite Element model applied to environmental flow simulations and temperature/pollutant transport to predict effects of stratification, in the context of hydroelectric reservoirs. The work includes the development of computational tools for terrain data manipulation and mesh generation. A validation procedure against experimental results is shown, as well as a numerical simulation of an environmental flow

Keywords

laterally averaged 2d model, thermal stratification, environmental flows, Finite Element Method.

References

[1] DONGALA AM, LIMA LMR, MANGIAVACCHI N & SOARES CBP. 2006. Finite element mesh generation for numerical simulation of hydroelectric power plant reservoir filling. Proceedings of the 11th Brazilian Congress of Thermal Sciences and Engineering, Curitiba, Brazil, pp. 41–44.

[2] JORGENSEN SE. 1979. Handbook of Environmental and Ecologi- cal Parameters, Pergamon Press, Oxford.

[3] KARPIK SR & RAITHBY GD. 1990. Laterally Averaged Hydrodynamics Model for Reservoir Predictions. Journal of Hydraulic Engineering, 116: 6.

[4] PATERSON MD, SIMPSON JE, DALZIEL SB & NIKIFORAKIS N. 2005. Numerical Modeling of Two-dimensional and Axissymmetric Gravity Currents. International Journal for Numerical Methods in Fluids, 47: 1221–1227.

[5] ROSMAN PCC. 2001. Um Sistema Computacional de Hidrodinâmica Ambiental. In: SILVA RCV. Métodos Numéricos em Recursos Hidricos 5.1, Ed. Porto Alegre: ABRH, 5: 1–161.

[6] CAREY GF. 1995. Finite Element Modeling of Environmental Problems, John Wiley & Sons, England.

[7] DONGALA AM, LIMA LMR, MANGIAVACCHI N & SOARES CBP. 2007. Organic Matter Decay Modeling for Numerical Simulations of Hydroelectric Reservoir Filling. Proceedings of the 19th International Congress of Mechanical Engineering – COBEM, Brasília, Brasil.

[8] SOARES CBP. 2003. Modelagem e Simulacao de Sistemas Aqu ́ ticos em Ambiente de Geoprocessamento, DSc Thesis, Federal University of Rio de Janeiro.

[9] ALDRIGHETTI E. 2007. Computational Hydraulic Techniques for the Saint Venant Equations in Arbitrarily Shaped Geometry, PhD Thesis, Universitá Degli Studi di Trento.

[10] DENARO FM. 2003. On the Application of the Helmholtz-Hodge Decomposition in Projection Methods for Incompressible Flows with General Boundary Conditions. International Journal for Numerical Methods In Fluids, 43: 43–69.

[11] TORRES P & MANGIAVACCHI N. 2010. Parallel Numerical Simulations of Water Reservoir. AIP Conf. Proc. 1301, pp. 446–454; doi: (9 pages). Applica- tion of Mathematics in Technical and Natural Sciences: Proceed- ings of the 2nd International Conference – Sozopol, Bulgaria.

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