Jove
Visualize
联系我们
JoVE
x logofacebook logolinkedin logoyoutube logo
关于 JoVE
概览领导团队博客JoVE 帮助中心
作者
出版流程编辑委员会范围与政策同行评审常见问题投稿
图书馆员
用户评价订阅访问资源图书馆顾问委员会常见问题
研究
JoVE JournalMethods CollectionsJoVE Encyclopedia of Experiments存档
教育
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab Manual教师资源中心教师网站
使用条款与条件
隐私政策
政策

相关概念视频

Estimation of the Physical Quantities01:05

Estimation of the Physical Quantities

4.2K
On many occasions, physicists, other scientists, and engineers need to make estimates of a particular quantity. These are sometimes referred to as guesstimates, order-of-magnitude approximations, back-of-the-envelope calculations, or Fermi calculations. The physicist Enrico Fermi was famous for his ability to estimate various kinds of data with surprising precision. Estimating does not mean guessing a number or a formula at random. Instead, estimation means using prior experience and sound...
4.2K
Conservation of Mass in Fixed, Nondeforming Control Volume01:07

Conservation of Mass in Fixed, Nondeforming Control Volume

1.2K
The principle of conservation of mass is fundamental in fluid dynamics and is crucial for analyzing flow within fixed control volumes, such as pipes or ducts. This principle states that the total mass within a control volume remains constant unless altered by the inflow or outflow of mass through the control surfaces. This results in a vital relationship for steady, incompressible flow where the mass entering a system equals the mass leaving it.
In the case of a sewer pipe, which can be modeled...
1.2K
Conservation of Mass in Moving, Nondeforming Control Volume01:14

Conservation of Mass in Moving, Nondeforming Control Volume

1.1K
Stormwater detention basins are essential in managing runoff during heavy rainfall, particularly in urban areas where impervious surfaces increase the risk of flooding. Understanding the conservation of mass in these systems allows engineers to optimize basin performance, balancing inflow, outflow, and water storage.
In the context of a detention basin, the conservation of mass states that the total mass of water entering the basin must equal the mass leaving the basin plus any accumulation of...
1.1K
Uncertainty in Measurement: Accuracy and Precision03:37

Uncertainty in Measurement: Accuracy and Precision

73.6K
Scientists typically make repeated measurements of a quantity to ensure the quality of their findings and to evaluate both the precision and the accuracy of their results. Measurements are said to be precise if they yield very similar results when repeated in the same manner. A measurement is considered accurate if it yields a result that is very close to the true or the accepted value. Precise values agree with each other; accurate values agree with a true value. 
73.6K
Random and Systematic Errors01:20

Random and Systematic Errors

10.9K
Scientists always try their best to record measurements with the utmost accuracy and precision. However, sometimes errors do occur. These errors can be random or systematic. Random errors are observed due to the inconsistency or fluctuation in the measurement process, or variations in the quantity itself that is being measured. Such errors fluctuate from being greater than or less than the true value in repeated measurements. Consider a scientist measuring the length of an earthworm using a...
10.9K
Conservation of Mass in Finite Cotrol Volume01:16

Conservation of Mass in Finite Cotrol Volume

1.3K
The principle of conservation of mass is a fundamental law in fluid mechanics and is applied using the continuity equation. We apply the concept to a finite control volume to derive the continuity equation.
A system is defined as a collection of unchanging contents, and the conservation of mass states that a system's mass is constant.
1.3K

您也可能阅读

相关文章

通过共同作者、期刊和引用图与本文相关的文章。

排序
Same author

Modeling flow and transport in fracture networks using graphs.

Physical review. E·2018
Same author

Effect of heated-air blanket on the dispersion of squames in an operating room.

International journal for numerical methods in biomedical engineering·2018
Same author

Understanding hydraulic fracturing: a multi-scale problem.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2016
Same author

Where Does Water Go During Hydraulic Fracturing?

Ground water·2015
Same author

Pharmaceutical development and manufacturing of a parenteral formulation of a novel antitumor agent, VNP40101M.

AAPS PharmSciTech·2004
Same author

Modulation of p53 dependent gene expression and cell death through thioredoxin-thioredoxin reductase by the Interferon-Retinoid combination.

Oncogene·2001

相关实验视频

Updated: Jun 21, 2025

Closed-loop Neuro-robotic Experiments to Test Computational Properties of Neuronal Networks
11:18

Closed-loop Neuro-robotic Experiments to Test Computational Properties of Neuronal Networks

Published on: March 2, 2015

10.3K

量化物理信息的神经网络中的本地和全球质量平衡错误.

M L Mamud1,2,3, M K Mudunuru4, S Karra5

  • 1Subsurface Science Group, Pacific Northwest National Laboratory, Richland, 99352, WA, USA. lal.mamud@pnnl.gov.

Scientific reports
|July 5, 2024
PubMed
概括

在解决地下水流量方程时,基于物理学的神经网络 (PINN) 显示出显著的质量平衡错误. 这些错误挑战了PINNNN.

关键词:
分析和数值解决方案的分析和数值解决方案质量平衡的错误 质量平衡的错误部分微分方程部分微分方程.基于物理学的神经网络.多孔的流媒体流动的媒介.

更多相关视频

Measurements of CO2 Fluxes at Non-Ideal Eddy Covariance Sites
09:05

Measurements of CO2 Fluxes at Non-Ideal Eddy Covariance Sites

Published on: June 24, 2019

7.9K
A Human-machine-interface Integrating Low-cost Sensors with a Neuromuscular Electrical Stimulation System for Post-stroke Balance Rehabilitation
11:06

A Human-machine-interface Integrating Low-cost Sensors with a Neuromuscular Electrical Stimulation System for Post-stroke Balance Rehabilitation

Published on: April 12, 2016

10.4K

相关实验视频

Last Updated: Jun 21, 2025

Closed-loop Neuro-robotic Experiments to Test Computational Properties of Neuronal Networks
11:18

Closed-loop Neuro-robotic Experiments to Test Computational Properties of Neuronal Networks

Published on: March 2, 2015

10.3K
Measurements of CO2 Fluxes at Non-Ideal Eddy Covariance Sites
09:05

Measurements of CO2 Fluxes at Non-Ideal Eddy Covariance Sites

Published on: June 24, 2019

7.9K
A Human-machine-interface Integrating Low-cost Sensors with a Neuromuscular Electrical Stimulation System for Post-stroke Balance Rehabilitation
11:06

A Human-machine-interface Integrating Low-cost Sensors with a Neuromuscular Electrical Stimulation System for Post-stroke Balance Rehabilitation

Published on: April 12, 2016

10.4K

科学领域:

  • 计算式水文地质学
  • 对于PDEs的数值方法
  • 在地球科学领域的机器学习.

背景情况:

  • 基于物理学的神经网络 (PINN) 越来越多地用于解决部分微分方程 (PDEs).
  • PINN将物理定律 (如质量平衡) 纳入损失函数中,用于软执行.
  • 在满足这些物理约束,特别是质量平衡方面,PINN的准确性需要进行彻底的研究.

研究的目的:

  • 在解决1D和地下水流量方程时,研究物理信息神经网络 (PINN) 的质量平衡错误.
  • 将PINN的质量平衡性能与传统的数值方法和分析解决方案进行比较.
  • 评估训练数据和超参数调节对PINN准确性和质量平衡遵守的影响.

主要方法:

  • 解决1D和地下水流 (扩散) 方程使用PINN对同质和异质介质.
  • 评估PINN解决方案中的本地和全球质量平衡错误.
  • 将PINN结果与两点有限体积方法和分析解决方案进行比较.
  • 评估PINN的准确性,有或没有液压头训练数据.

主要成果:

  • 与有限体积法相比,PINN 显示了显著的本地和全球质量平衡错误.
  • 超参数调整 (配置点,数据,网络架构,时代,学习率) 并没有大大减少错误.
  • 通过将液压头数据纳入PINN的准确性和质量平衡合规性并没有显著改善.

结论:

  • 显著的质量平衡错误限制了PINN在要求严格遵守物理定律的应用中的实际实用性.
  • 目前PINN的实施可能不适合在质量保护至关重要的地下水流量建模.
  • 需要进一步的研究来提高PINN的质量平衡忠实性,用于科学应用.