Flood modeling by 2D shallow water equation

Last update: Nov 30, 2022

hydraulicmodel

Flood modeling by 2D shallow water equation. Refer to Hunter et al (2005), Bates et al. (2010).

Diffusive wave approximation

$\frac{\partial h ^{i, j}}{\partial t} = \frac{Q_x^{i-1, j} - Q_x^{i, j} Q_y^{i, j-1} - Q_y^{i, j}}{\Delta x \Delta y}$

$Q_x^{i, j} = \frac{h_{flow}^{5/3}}{n} \left( \frac{h^{i-1, j} - h^{i, j}}{\Delta x} \right) ^{1/2} \Delta y$

$Q_y^{i, j} = \frac{h_{flow}^{5/3}}{n} \left( \frac{h^{i-1, j} - h^{i, j}}{\Delta y} \right) ^{1/2} \Delta x$

Local inertail approaximation

$\frac{\partial h ^{i, j}}{\partial t} = \frac{Q_x^{i-1, j} - Q_x^{i, j} Q_y^{i, j-1} - Q_y^{i, j}}{\Delta x \Delta y}$

$q_{t \Delta t} = \frac{q_t - gh_{flow, t} \Delta t \frac{\partial h_t}{\partial x}} {1 g n^2 \Delta t q_t / h_{flow, t}^{7/3}}$

Time steps in two methods

Diffusive wave approximation

$\Delta t = \frac{\Delta x^2}{4} min \left( \frac{2n}{h_{flow}^{5/3}}|\frac{\partial h}{\partial x}|^{1/2}, \frac{2n}{h_{flow}^{5/3}}|\frac{\partial h}{\partial y}|^{1/2} \right)$

Local inertial approximation

$\Delta t = \alpha \frac{\Delta x}{\sqrt{g (h-z)_{max}}}$

Implementation of these two approximation for simulating the flood in Mobara city on October 25, 2019

Setting of the domain and boundary conditions

Results of the maximum inundation area calculated by the diffusive wave approximation, compared with the flood extent reported by Chiba Office

Results of the inundation range considering the flood recession by the local inertial approximation, compared with the flood extent estimated by Geospatial Information Authority of Japan (GSI).

Flood modeling by 2D shallow water equation

Related tags

Overview

hydraulicmodel

Diffusive wave approximation

Local inertail approaximation

Time steps in two methods

Implementation of these two approximation for simulating the flood in Mobara city on October 25, 2019

Evolution of flood volume

Owner

Full ELT process on GCP environment.

Program that predicts the NBA mvp based on data from previous years.

Catalogue data - A Python Scripts to prepare catalogue data

A program that uses an API and a AI model to get info of sotcks

Programmatically access the physical and chemical properties of elements in modern periodic table.

peptides.py is a pure-Python package to compute common descriptors for protein sequences

PyClustering is a Python, C++ data mining library.

A set of tools to analyse the output from TraDIS analyses

The official repository for ROOT: analyzing, storing and visualizing big data, scientifically

Calculate multilateral price indices in Python (with Pandas and PySpark).

Common bioinformatics database construction

This is an analysis and prediction project for house prices in King County, USA based on certain features of the house

Example Of Splunk Search Query With Python And Splunk Python SDK

Ejercicios Panda usando Pandas

PyEmits, a python package for easy manipulation in time-series data.

Galvanalyser is a system for automatically storing data generated by battery cycling machines in a database

OpenDrift is a software for modeling the trajectories and fate of objects or substances drifting in the ocean, or even in the atmosphere.

Spectacular AI SDK fuses data from cameras and IMU sensors and outputs an accurate 6-degree-of-freedom pose of a device.

Package for decomposing EMG signals into motor unit firings, as used in Formento et al 2021.

Analysis scripts for QG equations