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

Poisson's And Laplace's Equation01:25

Poisson's And Laplace's Equation

2.6K
The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
2.6K
The Buckingham Pi Theorem01:09

The Buckingham Pi Theorem

542
The Buckingham Pi theorem provides a structured method to simplify fluid dynamics problems by reducing complex systems of variables to dimensionless terms.
542
Gauss's Law: Problem-Solving01:10

Gauss's Law: Problem-Solving

1.7K
Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area...
1.7K
Eulerian and Lagrangian Flow Descriptions01:22

Eulerian and Lagrangian Flow Descriptions

1.1K
Fluid flow analysis is critical in many scientific and engineering disciplines, and two principal approaches are used to describe this flow: the Eulerian and Lagrangian methods. These methods offer different perspectives on monitoring and analyzing the motion of fluids, each with distinct advantages depending on the scenario.
The Eulerian method focuses on fixed points in space where fluid properties, such as velocity, pressure, and temperature, are observed as the fluid moves between these...
1.1K
Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

144
Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
144
Calculating Equilibrium Concentrations02:05

Calculating Equilibrium Concentrations

47.5K
Being able to calculate equilibrium concentrations is essential to many areas of science and technology—for example, in the formulation and dosing of pharmaceutical products. After a drug is ingested or injected, it is typically involved in several chemical equilibria that affect its ultimate concentration in the body system of interest. Knowledge of the quantitative aspects of these equilibria is required to compute a dosage amount that will solicit the desired therapeutic effect.
A more...
47.5K

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

Does mental health coaching improve efficacy of transcranial magnetic stimulation for major depression? A pilot randomized controlled trial and benchmarking study.

Journal of affective disorders·2026
Same author

Public Health.

Alzheimer's & dementia : the journal of the Alzheimer's Association·2025
Same author

Intensive 7-day internet-delivered cognitive behavioural therapy for social anxiety disorder: A randomized controlled trial.

Journal of anxiety disorders·2025
Same author

Intensive 7-day internet-delivered cognitive behaviour therapy for social anxiety disorder: study protocol for a randomised controlled trial.

Trials·2025
Same author

Protocol of an open-label safety and feasibility pilot study of ketamine-assisted psychothera<u>p</u>y for methamphetamine use disorder (the KAPPA trial).

BMJ open·2025
Same author

Diverse Patient Experiences of Internet-Based Cognitive Behavioral Therapy with Guided Peer Support for Generalized Anxiety Disorders.

Journal of patient experience·2025

相关实验视频

Updated: Jun 10, 2025

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

8.1K

有效的数值方法,加快图形处理单元 (GPU) 计算Poisson问题和Cahn-Hilliard方程.

Saulo Orizaga1, Maurice Fabien2, Michael Millard1

  • 1Department of Mathematics, New Mexico Tech, 801 Leroy Place, Socorro, NM 87801, USA.

AIMS mathematics
|October 11, 2024
PubMed
概括

本研究为材料科学模型提供了高效的半隐式数值方法,特别是卡恩-希利亚德方程. 开发的技术显著加速使用GPU实现的3D计算.

关键词:
65M9999 这是一个很好的方法.65T5050 这样就好了.卡恩 - 希利亚德方程在GPU计算中使用GPU计算.有效的数值方法.阶段场模型的相场模型.薄膜方程式的使用方法

更多相关视频

Author Spotlight: Computing the Effects of a Local Radiofrequency Hyperthermia Intervention on Tumor Biomechanics
10:23

Author Spotlight: Computing the Effects of a Local Radiofrequency Hyperthermia Intervention on Tumor Biomechanics

Published on: December 1, 2023

366
Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
10:52

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

12.8K

相关实验视频

Last Updated: Jun 10, 2025

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

8.1K
Author Spotlight: Computing the Effects of a Local Radiofrequency Hyperthermia Intervention on Tumor Biomechanics
10:23

Author Spotlight: Computing the Effects of a Local Radiofrequency Hyperthermia Intervention on Tumor Biomechanics

Published on: December 1, 2023

366
Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
10:52

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

12.8K

科学领域:

  • 计算材料科学科学 计算材料科学
  • 数字分析 数字分析
  • 部分微分方程 部分微分方程

背景情况:

  • 材料科学模拟通常涉及复杂的非线性高阶抛物线部分微分方程.
  • 有效的数值方法对于准确和及时模拟材料行为至关重要.

研究的目的:

  • 为材料科学模型开发和评估高效的半隐性数值方法.
  • 通过对Cahn-Hilliard方程的现有方法进行比较,对拟议的方法进行比较.
  • 探索更高阶的时间步进技术,以提高准确性和趋同性.

主要方法:

  • 实现非线性高阶抛物线部分微分方程的半隐式方法.
  • 凸度分裂 (CS) 方法与倒向欧勒近似.
  • 与双改性 (BHM) 方法进行比较.
  • 引入更高层次的时间渐进技术.
  • 使用MATLAB进行计算加速的GPU实现.

主要成果:

  • 拟议的半隐式方案显示了2D计算的高效率.
  • 证明了2D和3D扩展模拟的能量降低特性和整体性能.
  • 通过GPU实现实现3D Cahn-Hilliard方程模拟实现了显著的计算加速 (高达80x).

结论:

  • 开发的半隐式数值方法对于模拟材料科学模型,如卡恩-希利亚德方程,是高效和准确的.
  • GPU 加速为复杂的 3D 模拟提供了相当大的加速度.
  • 这些方法为各种初始条件的长期模拟提供了强大的框架.