Numerical Simulation of Urban Flash Flood Experiments Using Adaptive Mesh Refinement and Cut Cell Method

In this paper the two-dimensional Euler equations, with a simple chemical reaction model, are used as the governing equations for the detonation problem. The spatial derivatives are evaluated using the fifth-order WENO scheme, and the third-order TVD Runge-Kutta method is employed for the temporal derivative. The characteristics of the two-dimensional detonation in an argon-diluted mixture of hydrogen and oxygen are investigated using Adaptive Mesh Refinement (AMR) method. From computational accuracy point of view, AMR enables the detonation front to be clearer than the method with basic meshes. From the other point of computational time, AMR also saves about half the time as compared with the case of refining the entire field. It is obvious that AMR not only increases the resolution of local field, but also improves the efficiency of numerical simulation.

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Numerical simulation and experimental validation of a hypersonic flow for numerical modulation of re-entry phenomena prediction using adaptive mesh refinement

International Journal of Computational Methods and Experimental Measurements ◽

10.2495/cmem-v1-n4-381-394 ◽

2013 ◽

Vol 1 (4) ◽

pp. 381-394 ◽

Cited By ~ 2

Author(s):

S. Reichel ◽

R. Groll

Keyword(s):

Numerical Simulation ◽

Hypersonic Flow ◽

Adaptive Mesh Refinement ◽

Experimental Validation ◽

Mesh Refinement ◽

Adaptive Mesh

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Numerical Simulation of Solitary Wave Breaking With Adaptive Mesh Refinement

Volume 2: CFD and FSI ◽

10.1115/omae2019-95224 ◽

2019 ◽

Author(s):

Yunxing Zhang ◽

Wenyang Duan ◽

Kangping Liao ◽

Shan Ma ◽

Guihua Xia

Keyword(s):

Numerical Simulation ◽

Solitary Wave ◽

Wave Breaking ◽

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Surface Flow ◽

Vof Method ◽

Numerical Results ◽

Fractional Step Method

Abstract The numerical simulation of wave breaking problem is still a tough challenge, partly due to the large grid number and CPU time requirement for capturing the multi-scale structures embedded in it. In this paper, a two-dimensional two-phase flow model with Adaptive Mesh Refinement (AMR) is proposed for simulating solitary wave breaking problems. Fractional step method is employed for the velocity-pressure decoupling. The free surface flow is captured with the Volume-of-Fluid (VOF) method combined with Piecewise Linear Interface Calculation (PLIC) for the reconstruction of the interface. Immersed boundary (IB) method is utilized to account for the existence of solid bodies. A geometric multigrid method is adopted for the solution of Pressure Poisson Equation (PPE). Benchmark case of advection test is considered first to test the VOF method. Then the solitary wave propagation problem is utilized to validate the model on AMR grid as well as analyze the efficiency of AMR. Furthermore, the solitary wave past a submerged stationary stage problem is simulated to validate the combined IB-VOF-AMR model. All the numerical results are compared with analytic solutions, experimental data or other published numerical results, and good agreements are obtained. Finally, the influence of stage height on the occurrence of wave breaking is analyzed. The locations of wave breaking are summarized for different stage heights.

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B-flood 1.0: an open-source Saint-Venant model for flash-flood simulation using adaptive refinement

Geoscientific Model Development ◽

10.5194/gmd-14-7117-2021 ◽

2021 ◽

Vol 14 (11) ◽

pp. 7117-7132

Author(s):

Geoffroy Kirstetter ◽

Olivier Delestre ◽

Pierre-Yves Lagrée ◽

Stéphane Popinet ◽

Christophe Josserand

Keyword(s):

Shallow Water ◽

Shallow Water Equations ◽

Adaptive Mesh Refinement ◽

Flash Flood ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Flood Simulation ◽

Small Watersheds ◽

Analytical Test ◽

The Impact

Abstract. The French Riviera is very often threatened by flash floods. These hydro-meteorological events, which are fast and violent, have catastrophic consequences on life and property. The development of forecasting tools may help to limit the impacts of these extreme events. Our purpose here is to demonstrate the possibility of using b-flood (a subset of the Basilisk library http://basilisk.fr/, last access: 8 November 2021), which is a 2D tool based on the shallow-water equations and adaptive mesh refinement. The code is first validated using analytical test cases describing different flow regimes. It is then applied to the Toce river valley physical model produced by ENEL-HYDRO in the framework of the CADAM project and on a flash-flood case over the urbanized Toce area produced during the IMPACT project. Finally, b-flood is applied to the flash flood of October 2015 in Cannes in south-eastern France, which demonstrates the feasibility of using software based on the shallow-water equations and mesh refinement for flash-flood simulation in small watersheds (less than 100 km2) and on a predictive computational timescale.

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Numerical Simulation of High Speed Reactive Flows with Adaptive Mesh Refinement

Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects ◽

10.1007/978-3-322-87871-7_69 ◽

1993 ◽

pp. 565-577 ◽

Cited By ~ 1

Author(s):

M. Valorani ◽

M. Giacinto

Keyword(s):

Numerical Simulation ◽

Adaptive Mesh Refinement ◽

High Speed ◽

Mesh Refinement ◽

Adaptive Mesh ◽

Reactive Flows

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Numerical Simulation of Global-Scale Atmospheric Chemical Transport with High-Order Wavelet-Based Adaptive Mesh Refinement Algorithm

Monthly Weather Review ◽

10.1175/mwr-d-15-0200.1 ◽

2016 ◽

Vol 144 (4) ◽

pp. 1469-1486 ◽

Cited By ~ 3

Author(s):

A. N. Semakin ◽

Y. Rastigejev

Keyword(s):

Numerical Simulation ◽

Adaptive Mesh Refinement ◽

Mesh Refinement ◽

Computational Cost ◽

Adaptive Mesh ◽

Chemical Transport ◽

Global Scale ◽

High Order ◽

Computational Domain ◽

Grid Points

Abstract High computational cost associated with numerical modeling of multiscale global atmospheric chemical transport (ACT) imposes severe limitations on the spatial resolution of fixed nonadaptive grids. Recently it has been shown that the interaction of numerical diffusion caused by the crude resolution with complex velocity field of atmospheric flows leads to large numerical errors. To address the described difficulties, the authors have developed a wavelet-based adaptive mesh refinement (WAMR) method for numerical simulation of two-dimensional multiscale ACT problems. The WAMR is an adaptive method that minimizes the number of grid points by introducing a fine grid only in the locations where fine spatial scales occur and uses high-order spatial discretization throughout the computational domain. The algorithm has been tested for several challenging ACT problems. Particularly, it is shown that the method correctly simulates dynamics of a pollution plume traveling on a global scale, producing less than 1% error with a relatively low number (~105) of grid points. To achieve such accuracy, conventional nonadaptive techniques would require more than three orders of magnitude more computational resources. The method possesses good mass conservation properties; it is shown that an error in the total pollutant mass does not exceed 0.02% for this number of points. The obtained results demonstrate the WAMR’s ability to achieve high numerical accuracy for challenging ACT problems at a relatively low computational cost.

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