Comparing the performance of a 2-D finite element and a 2-D finite volume model of floodplain inundation using airborne SAR imagery

2007 ◽  
Vol 21 (20) ◽  
pp. 2745-2759 ◽  
Author(s):  
M. S. Horritt ◽  
G. Di Baldassarre ◽  
P. D. Bates ◽  
A. Brath
2020 ◽  
Author(s):  
Gergely Ámon

<p><strong>Baseflow and flash flood models of the ungaged Morgó watershed</strong></p><p><strong>Gergely Amon<sup>1</sup> and Katalin Bene<sup>2</sup></strong></p><p><strong><sup>1</sup>Department of Transport Infrastructure and Water Resources Engineering, Széchenyi István University, Győr, Hungary, [email protected] </strong></p><p><strong><sup>2</sup>Department of Transport Infrastructure and Water Resources Engineering, Széchenyi István University, Győr, Hungary, </strong><strong>[email protected]</strong></p><p> </p><p>Abstract: A common feature of steep-sloping watersheds is that there is a significant difference between base flow and flash floods; sometimes two or three orders of magnitude. In Hungary, these streams are usually ungaged or the available flow data is very limited. The Morgó creek watershed, located in northern part of Hungary, features steep terrain, and both urban and natural land use conditions.</p><p>In this paper, different models are applied to evaluate flash floods, and baseflow conditions in the Morgó-creek watershed. High probability baseflows can help to evaluate and monitor the current and future condition and health of the local ecological systems. Modeling flash floods with low probability can help to assess and prevent damage in urban areas.</p><p>Different types of models are required to generate baseflow and flash flood scenarios. For baseflow modelling, a two-dimensional finite element method was used while for flash floods, a finite volume model was applied. Morgó creek has a high peak flow, with a sharply increasing rising limb. As a result, the finite volume model is not sensitive to mesh density. Additionally, the impact of roughness coefficient was less than expected during calibration. The low flow analysis requires a more complex model to account for turbulence; therefore, the Shallow Water equations were used in the finite element model.</p><p>Uncertainty in hydrological model parametrization are a source of significant prediction errors. Monte Carlo simulation was applied to quantify parameter uncertainty on watershed response. The analysis was then used in the hydrodynamic model to assess the final prediction error for baseflow and flash flood conditions. While the hydrodynamic baseflow and flash flood models have different space and time scales, the two model solutions do influence each other. Proper analysis and comparison of the selected scenarios can help to determine an optimal design for the Morgó-creek watershed.</p><p>This work was undertaken as part of a project funded by the EFOP-3.6.1-16-2016-00017.</p>


2009 ◽  
Vol 137 (4) ◽  
pp. 1422-1437 ◽  
Author(s):  
Jin-Luen Lee ◽  
Alexander E. MacDonald

Abstract An icosahedral-hexagonal shallow-water model (SWM) on the sphere is formulated on a local Cartesian coordinate based on the general stereographic projection plane. It is discretized with the third-order Adam–Bashforth time-differencing scheme and the second-order finite-volume operators for spatial derivative terms. The finite-volume operators are applied to the model variables defined on the nonstaggered grid with the edge variables interpolated using polynomial interpolation. The projected local coordinate reduces the solution space from the three-dimensional, curved, spherical surface to the two-dimensional plane and thus reduces the number of complete sets of basis functions in the Vandermonde matrix, which is the essential component of the interpolation. The use of a local Cartesian coordinate also greatly simplifies the mathematic formulation of the finite-volume operators and leads to the finite-volume integration along straight lines on the plane, rather than along curved lines on the spherical surface. The SWM is evaluated with the standard test cases of Williamson et al. Numerical results show that the icosahedral SWM is free from Pole problems. The SWM is a second-order finite-volume model as shown by the truncation error convergence test. The lee-wave numerical solutions are compared and found to be very similar to the solutions shown in other SWMs. The SWM is stably integrated for several weeks without numerical dissipation using the wavenumber 4 Rossby–Haurwitz solution as an initial condition. It is also shown that the icosahedral SWM achieves mass conservation within round-off errors as one would expect from a finite-volume model.


2020 ◽  
Vol 122 ◽  
pp. 103835
Author(s):  
Markus Luecking ◽  
Ralf Brinkmann ◽  
Scarlett Ramos ◽  
Wilhelm Stork ◽  
Nico Heussner

1996 ◽  
Vol 23 ◽  
pp. 86-93 ◽  
Author(s):  
Joseph K.-W. Lam ◽  
Julian A. Dowdeswell

An adaptive-grid finite-volume glacier model is described. The model is an implicit one-dimensional flowline model. The discretized implicit finite-volume equations are solved by an iterative predictor–corrector method. The grid adapts as the terminus moves in response to changes in surface mass balance. Only the terminus grid point and the penultimate grid point are adapted as the glacier-terminus position changes in order to minimize computation. Several modelling experiments are carried out to demonstrate the performance of the model. Comparisons are made with a fixed-grid finite-volume model and a fixed-grid finite-difference model. Comparisons are made on two levels. The differences in methods, finite-volume method versus finite-difference method, arise from differences in accuracy and programming efficiency. The differences in grids, adaptive-grid versus fixed-grid, arise from differences in the numerical smoothness of the motion of the moving terminus. This affects questions of stability and accuracy.


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