Related Experiment Video
Updated: Jul 9, 2025
10:35
A Protocol for Conducting Rainfall Simulation to Study Soil Runoff
Published on: April 3, 2014
20.9K
Multi-order analytical solving computation of rainstorm causal decomposition during typhoons using a designed
Chien-Lin Huang1, Nien-Sheng Hsu1, Chun-Hao Yao1
1Department of Civil Engineering, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei, 10617, Taiwan.
Heliyon
|November 30, 2023
Summary
This study develops a novel model to identify key rain-making factors and their spatiotemporal parameters. The research reveals that similar typhoons possess similar "rain-making DNAs," influencing their movement and rainfall patterns.
Area of Science:
- Atmospheric Science and Meteorology
- Computational Fluid Dynamics
- Nonlinear Systems Analysis
Background:
- Precisely identifying multi-dimensional spatiotemporal rain-making parameters is crucial for accurate weather prediction.
- Existing nonlinear ill-posed problems in rainstorm analysis require advanced computational methods.
- Understanding causal decomposition of rain-generating mechanisms is essential for meteorological modeling.
Purpose of the Study:
- To develop a robust simulation model for identifying multi-dimensional spatiotemporal rain-making parameters.
- To solve nonlinear ill-posed problems in rainstorm analysis using quasi-Newton optimization.
- To characterize rain-generating mechanisms and causal components as 'rain-making DNAs'.
Main Methods:
- Constructed a rain-generating simulation model using composite logical tangent hyperbolic functions.
- Modified Levenberg-Marquardt and Broyden-Fletcher-Goldfarb-Shanno algorithms for a symmetric rank-four structure to compute a stable Hessian.
- Employed vectorized limited switchable step sizes optimized via double-bracketing and Newton's constrained analytical solution.
Main Results:
- Identified 'rain-making DNAs' correlating with typhoon movement patterns; similar DNAs indicate similar trajectories.
- Rain-making DNAs in Taipei were linked to wind force/direction and cloud height (Category 1) or cloud-cover distribution (Category 2).
- Unsteady typhoons produced multi-peak rainfall hydrographs, unlike the weaker steady states of constant-structure typhoons.
Conclusions:
- The developed model accurately decomposes rainstorm causality and identifies critical rain-making parameters.
- Rain-making DNAs provide a novel framework for understanding and predicting typhoon behavior and associated rainfall.
- Rain evolution analysis highlights the influence of wind fields and geographical convergence on precipitation patterns.
Keywords:
Advanced analytical solving computationMonsoon co-accompanied topographic uplift effectMulti-order derivative quasi-Newton derivationRainstorm causal decompositionSpatiotemporal parameter identificationTyphoon factorial loading scoreMore Related Videos
11:53Spatial Multiobjective Optimization of Agricultural Conservation Practices using a SWAT Model and an Evolutionary Algorithm
Published on: December 9, 2012
13.0K
10:46A Method of Trigonometric Modelling of Seasonal Variation Demonstrated with Multiple Sclerosis Relapse Data
Published on: December 9, 2015
10.7K
Related Concept Videos
01:12Precipitation Processes
457
The experimental conditions in a gravimetric analysis should be optimized to maximize the particle size and purity of the obtained precipitate. Ideally, the concentration of the precipitating reagent should be low with effective stirring to maintain low relative supersaturation for the growth of large crystals. In homogeneous precipitation, the precipitant is slowly generated by a chemical reaction in the solution to avoid local reagent excesses. For example, urea decomposes gradually to...
457
01:17Precipitation and Co-precipitation
1.8K
Precipitation and coprecipitation methods can be used to separate a mixture of ions in a solution. In qualitative inorganic analysis, ions that form sparingly soluble precipitates with the same reagent are separated based on the differences in solubility products. For example, consider the separation of Cu(II) and Fe(II) ions by precipitation as insoluble sulfides. First, copper(II) sulfide is precipitated by the addition of acidic H2S, where the dissociation of H2S is suppressed. Adding H2S...
1.8K
01:29Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
56
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
56
01:18Newtonian Fluid: Problem Solving
230
Newtonian fluids exhibit a constant viscosity, meaning their shear stress and shear strain rate are directly proportional. This property ensures a predictable and stable response to applied forces, maintaining a linear relationship between force and flow. Examples include water, air, and light oils, consistently demonstrating this proportional behavior regardless of external conditions.
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
230
01:17Design Example: Analyzing Capacity Contours for Flood Risk Assessment
50
Flood risk assessment involves careful planning and analysis to ensure the safety of communities near water retention structures. Capacity contours are a vital tool in this process, as they illustrate the potential spread of water at specific levels in a given area. In the context of building a bund across a small valley, these contours play a critical role in evaluating the safety of nearby residential areas.In this example, the bund is intended to store stormwater in the valley. The engineers...
50
01:21Precipitation Titration Curve: Analysis
1.1K
The precipitation titration curve demonstrates the change in concentration of one reactant with the volume of titrant added. During the titration of chloride ions with silver nitrate, the precipitation titration curve is divided into three regions: before, at, and after the equivalence point. Before the equivalence point, low redissolution of the sparingly soluble silver chloride precipitate gives a low silver ion concentration. However, in the second region, representing the equivalence point,...
1.1K