Volume 10 Issue 4
Oct.  2017
Turn off MathJax
Article Contents
Article Navigation >  Water Science and Engineering  > 2017  >  10(4): 267-274
Jing-ming Hou, Run Wang, Hai-xiao Jing, Xia Zhang, Qiu-hua Liang, Yan-yan Di. 2017: An efficient dynamic uniform Cartesian grid system for inundation modeling. Water Science and Engineering, 10(4): 267-274. doi: 10.1016/j.wse.2017.12.004
Citation: Jing-ming Hou, Run Wang, Hai-xiao Jing, Xia Zhang, Qiu-hua Liang, Yan-yan Di. 2017: An efficient dynamic uniform Cartesian grid system for inundation modeling. Water Science and Engineering, 10(4): 267-274. doi: 10.1016/j.wse.2017.12.004
shu

An efficient dynamic uniform Cartesian grid system for inundation modeling

doi: 10.1016/j.wse.2017.12.004

  • a Institute of Water Resources and Hydro-Electric Engineering, Xi'an University of Technology, Xi’an 710048, China

  • b School of Civil Engineering and Geosciences, Newcastle University, Newcastle upon Tyne NE1 7RU, UK

  • c Hydrology Bureau, Yellow River Conservancy Commission, Zhengzhou 450004, China

Funds:  This work was supported by the National Natural Science Foundation of China (Grant No. 19672016), the National Key R&D Program of China (Grant No. 2016YFC0402704), the State Key Program of the National Natural Science Foundation of China (Grant No. 41330858), and the UK Natural Environment Research Council (NERC) (Grant No. NE/K008781/1).
More Information
  • Corresponding author: jinghx@xaut.edu.cn (Hai-xiao Jing)
  • Received Date: 2017-04-23
  • Rev Recd Date: 2017-09-30
    Abstract
  • A dynamic uniform Cartesian grid system was developed in order to reduce the computational time in inundation simulation using a Godunov-type finite volume scheme. The reduction is achieved by excluding redundant dry cells, which cannot be effectively avoided with a conventional Cartesian uniform grid system, as the wet area is unknown before computation. The new grid system expands dynamically with wetting, through addition of new cells according to moving wet-dry fronts. The new grid system is straightforward in implementation. Its application in a field-scale flood simulation shows that the new grid system is able to produce the same results as the conventional grid, but the computational efficiency is fairly improved.

     

    • FullText(HTML)
  • loading
    • References(34)
  • Ata, R., Pavan, S., Khelladi, S., Toro, E.F., 2013. A weighted average flux (WAF) scheme applied to shallow water equations for real-life applications. Advances in Water Resources, 62(4), 155-172. https://doi.org/10.1016/j.advwatres.2013.09.019.
    Bates, P.D., Hervouet, J.M., 1999. A new method for moving-boundary hydrodynamic problems in shallow water. Proceedings of the Royal Society A Mathematical Physical & Engineering Sciences, 455(1988), 3107-3128. https://doi.org/10.1098/rspa.1999.0442.
    Bates, P.D., Horritt, M.S., Fewtrell, T.J., 2010. A simple inertial formulation of the shallow water equations for efficient two-dimensional flood inundation modelling. Journal of Hydrology, 387(1–2), 33-45. https://doi.org/10.1016/j.jhydrol.2010.03.027.
    Bates, P.D., 2012. Integrating remote sensing data with flood inundation models: How far have we got? Hydrological Processes, 26(16), 2515–2521. https://doi.org/10.1002/hyp.9374.
    Bermudez, A., Vazquez, M.E., 1994. Upwind methods for hyperbolic conservation laws with source terms. Computers & Fluids, 23(8), 1049-1071. https://doi.org/10.1016/0045-7930(94)90004-3.
    Delis, A.I., Kazolea, M., Kampanis, N.A., 2008. A robust high-resolution finite volume scheme for the simulation of long waves over complex domains. International Journal for Numerical Methods in Fluids, 56(4), 419-452. https://doi.org/10.1002/fld.1537.
    Delis, A.I., Nikolos, I.K., 2013. A novel multidimensional solution reconstruction and edge-based limiting procedure for unstructured cell-centered finite volumes with application to shallow water dynamics. International Journal for Numerical Methods in Fluids,71(5), 584–633. https://doi.org/10.1002/fld.3674.
    George, D.L., Leveque, R.J., 2008. High-resolution methods and adaptive refinement for tsunami propagation and inundation. Hyperbolic Problems: Theory, Numerics, Applications. Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-540-75712-2_52.
    Guan, M., Wright, N.G., Sleigh, A., 2014. 2D process-based morphodynamic model for flooding by noncohesive dyke breach. Journal of Hydraulic Engineering, 140(7), 44-51. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000861.
    Hervouet, J., 2000. A high resolution 2-D dam-break model using parallelization. Hydrological Processes, 14(13), 2211-2230. https://doi.org/10.1002/1099-1085(200009)14:13<2211::AID-HYP24>3.0.CO;2-8.
    Hou, J., Liang, Q., Simons, F., Hinkelmann, R., 2013a. A stable 2D unstructured shallow flow model for simulations of wetting and drying over rough terrains. Computers & Fluids, 82(17), 132-147. https://doi.org/10.1016/j.compfluid.2013.04.015.
    Hou, J., Liang, Q., Simons, F., Hinkelmann, R., 2013b. A 2D well-balanced shallow flow model for unstructured grids with novel slope source term treatment. Advances in Water Resources, 52(2), 107-131. https://doi.org/10.1016/j.advwatres.2012.08.003.
    Hou, J., Simons, F., Mahgoub, M., Hinkelmann, R., 2013c. A robust well-balanced model on unstructured grids for shallow water flows with wetting and drying over complex topography. Computer Methods in Applied Mechanics & Engineering, 257(15), 126–149. https://doi.org/10.1016/j.cma.2013.01.015.
    Hrdinka, T., Novický, O., Hanslík, E., Rieder, M., 2012. Possible impacts of floods and droughts on water quality. Journal of Hydro-environment Research, 6(2), 145-150. https://doi.org/10.1016/j.jher.2012.01.008.
    Jeong, W., Yoon, J.S., Cho, Y.S., 2012. Numerical study on effects of building groups on dam-break flow in urban areas. Journal of Hydro-environment Research, 6(2), 91–99. https://doi.org/10.1016/j.jher.2012.01.001.
    Leer, B.V., 1984. On the relation between the upwind-differencing schemes of Godunov, Engquist-Osher and Roe. Siam Journal on Scientific & Statistical Computing, 5(1), 1-20. https://doi.org/10.1137/0905001.
    Liang, Q., Borthwick, A.G.L., 2009. Adaptive quadtree simulation of shallow flows with wet–dry fronts over complex topography. Computers & Fluids, 38(2), 221-234. https://doi.org/10.1016/j.compfluid.2008.02.008.
    Liang, Q., Marche, F., 2009. Numerical resolution of well-balanced shallow water equations with complex source terms. Advances in Water Resources, 32(6), 873-884. https://doi.org/10.1016/j.advwatres.2009.02.010.
    Liang, Q., 2010. Flood simulation using a well-balanced shallow flow model. Journal of Hydraulic Engineering, 136(9), 669-675. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000219.
    Liang, Q., 2011. A structured but non-uniform cartesian grid-based model for the shallow water equations. International Journal for Numerical Methods in Fluids, 66(5), 537–554. https://doi.org/10.1002/fld.2266.
    Liang, Q., 2012. A simplified adaptive Cartesian grid system for solving the 2D shallow water equations. International Journal for Numerical Methods in Fluids, 69(2), 442–458. https://doi.org/10.1002/fld.2568.
    Liu, Y., Pender, G., 2013. Carlisle 2005 urban flood event simulation using cellular automata-based rapid flood spreading model. Soft Computing, 17(1), 29-37. https://doi.org/10.1007/s00500-012-0898-1.
    Ozdemir, H., Sampson, C.C., De Almeida, G.A.M., Bates, P.D., 2013. Evaluating scale and roughness effects in urban flood modelling using terrestrial LiDAR data. Hydrology & Earth System Sciences, 10(5), 5903-5942. https://doi.org/10.5194/hessd-10-5903-2013.
    Popinet, S., 2011. Quadtree-adaptive tsunami modelling. Ocean Dynamics, 61(9), 1261-1285. https://doi.org/10.1007/s10236-011-0438-z.
    Popinet, S., 2012. Adaptive modelling of long-distance wave propagation and fine-scale flooding during the tohoku tsunami. Natural Hazards & Earth System Sciences, 12(4), 1213-1227. https://doi.org/10.5194/nhess-12-1213-2012.
    Pu, J, Cheng, N., Tan, S.K., Shao, S., 2012. Source term treatment of swes using surface gradient upwind method. Journal of Hydraulic Research, 50(2), 145-153. https://doi.org/10.1080/00221686.2011.649838.
    Sanders, B.F., Schubert, J.E., Detwiler, R.L., 2010. Parbrezo: a parallel, unstructured grid, Godunov-type, shallow-water code for high-resolution flood inundation modeling at the regional scale. Advances in Water Resources, 33(12), 1456-1467. https://doi.org/10.1016/j.advwatres.2010.07.007.
    Singh, J., Altinakar, M.S., Ding, Y., 2011. Two-dimensional numerical modeling of dam-break flows over natural terrain using a central explicit scheme. Advances in Water Resources, 34(10), 1366-1375. https://doi.org/10.1016/j.advwatres.2011.07.007.
    Smith, L.S., Liang, Q., 2013. Towards a generalised GPU/CPU shallow-flow modelling tool. Computers & Fluids, 88(12), 334-343. https://doi.org/10.1016/j.compfluid.2013.09.018.
    Wang, Y., Liang, Q., Kesserwani, G., Hall, J.W., 2011a. A positivity-preserving zero-inertia model for flood simulation. Computers & Fluids,46(1), 505–511. https://doi.org/10.1016/j.compfluid.2011.01.026.
    Wang, Y., Liang, Q., Kesserwani, G., Hall, J.W., 2011b. Closure to “A 2D shallow flow model for practical dam-break simulations”. Journal of Hydraulic Research, 49(3), 307-316. http://dx.doi.org/10.1080/00221686.2012.727874.
    Wilson, M.D., Atkinson, P.M., 2003. Sensitivity analysis of a flood inundation model to spatially-distributed friction coefficients obtained using land cover classification of Landsat TM imagery. In: IGARSS 2003. IEEE.
    Xia, X., Liang, Q., Ming, X., Hou, J., 2017. An efficient and stable hydrodynamic model with novel source term discretisation schemes for overland flow simulations. Water Resources Research, 53, 3730-3759. http://dx.doi.org/10.1002/2016WR020055.
    Zhou, J.G., Causon, D.M., Ingram, D.M., Mingham, C.G., 2002. Numerical solutions of the shallow water equations with discontinuous bed topography. International Journal for Numerical Methods in Fluids, 38(8), 769-788. http://dx.doi.org/10.1002/fld.243
    • Relative Articles
    • Supplements(0)
    • Cited By
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索
    Get Citation
    PDF
    XML

    Article Metrics

    Article views (677) PDF downloads(1035) Cited by()
    Proportional views
    Related

    Copyright © 2009 Editorial office of Water Science and Engineering 苏ICP备12023610号-1

    Supported by: Beijing Renhe Information Technology Co. Ltd   support: info@rhhz.net

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return