AUTOMATIC ASSESSMENT OF UNCERTAINTIES IN THE CASE OF URBAN FLOOD MODELING

作者：Leupi C; Souhar O^*; Paquier A; Faure J B

来源：Engineering Applications of Computational Fluid Mechanics, 2009, 3(4): 458-470.

DOI：10.1080/19942060.2009.11015283

• urban flood
• 2D finite volume model
• uncertainties
• confident range
• crossroads
• automatic differentiation

Urban flood modeling has long been attracting attention from hydraulic modelers. Due to the complicated floodplain topography, inaccurate boundary conditions, etc, uncertainties will arise from urban flood simulations and should be addressed properly. The present study deals with a novel contribution to the field of urban flood modeling with the aim to quantify uncertainties by examining the response of a finite volume two-dimensional hydraulic model, RUBAR20, used for simulating urban flooding at a crossroad. Two methods have been launched to assess uncertainties and the confident range of the solutions. The first method is the well-known Divided Differences (DD) approximation. The second method is a recently developed technique, based on the computation of derivatives using Automatic Differentiation techniques (AD). For the second method, Tapenade software has been used to calculate derivatives of the water depth with respect to the boundary conditions and roughness coefficients. Benchmark tests were carried out against well-known flows using a high quality and high spatial resolution data set collected from laboratory open channels. Both methods provided good solutions for a reasonable set of parameters. Moreover, the AD adjoint model is found to be useful in the case of large number of input parameters.

• 出版日期2009-12