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所在平台: Udemy |
课程主页: https://www.udemy.com/course/physical-modeling-and-simulation-from-scratch-in-python/
课程评论：没有评论
**课程名称: CFD with Python: From Modelling to Simulation** **课程概述:** 本课程旨在通过有限元方法（FEM）深入探索计算流体动力学（CFD）的潜力。课程面向希望深入理解FEM理论基础和实际应用的工程师和学生，从基础概念出发，使用纯开源工具进行实践编码。此外，课程还将指导学员如何有效地解读和可视化仿真数据。 **主要内容:** * **理论基础:** 建立FEM数学理论的扎实基础，包括变分形式、弱形式和偏微分方程（PDEs）的离散化技术。 * **单元类型:** 全面介绍不同的有限元类型及其在流体动力学问题中的应用，重点关注形函数、插值和数值积分技术。 * **网格生成:** 讲解非结构化网格的生成原理，以及网格质量对仿真精度的影响。 * **求解PDEs:** 深入理解控制物理现象的复杂PDEs的求解方法，包括加尔金法（Galerkin's method），将PDE转化为可解的线性系统。 * **FEniCS入门:** 重点介绍强大的开源FEniCS框架，学习如何自动化变分表述、简化离散化过程以及高效求解PDEs。 * **实现项目:** 通过一系列实践项目，使用FEniCS和Python开发自己的流体动力学求解器，从简单问题逐步过渡到真实世界流体流动场景的模拟。 * **Ubuntu下的仿真:** 学习如何在Ubuntu控制台中使用Python脚本进行远程计算和集群环境下的仿真作业提交，适应并行处理需求。 * **后处理:** 掌握从仿真数据中提取有价值见解的技能，学习如何有效地可视化和分析速度剖面、压力分布等关键流体动力学指标。 **课程特点:** * **开源软件:** 课程完全基于开源软件，确保所有学员都能免费、无障碍地学习和使用。
Unlock the potential of numerical techniques in fluid dynamics through our comprehensive course on the Finite Element Method (FEM). Tailored for engineers and students aiming to deeply comprehend both the theoretical foundations and practical implementation of FEM, this course takes participants on a journey from fundamental concepts to hands-on coding using exclusively open-source tools. Furthermore, it expertly guides participants through the crucial process of interpreting and visualizing simulation data.Theory Fundamentals: The course commences with establishing a robust foundation in the mathematical theory underpinning finite element methods. Participants will delve into variational formulations, weak forms, and discretization techniques for partial differential equations (PDEs) commonly encountered across diverse engineering fields.Element Types: A comprehensive exploration of distinct finite element types and their relevance to fluid dynamics issues awaits. The course delves into shape functions, interpolation, and numerical integration techniques, seamlessly bridging the gap between continuous mathematics and discrete simulations.Mesh Generation: Participants will gain insight into the principles underlying the creation of unstructured meshes. Moreover, the course examines the significance of mesh quality and its profound influence on simulation accuracy.Solving PDEs: A thorough understanding of solving intricate PDEs governing several physical situations is imparted. The course delves into key techniques like Galerkin's method, facilitating the transformation of complex PDEs into solvable linear systems.FEniCS Introduction: A highlight of the course is the revelation of the powerfull open-source FEniCS framework as a robust tool for implementing finite element methods. The curriculum empowers participants to harness its capabilities, automating variational formulations, streamlining discretization processes, and proficiently addressing PDEs.Implementation Project: Participants will be immersed in different hands-on projects, culminating in the development of their own fluid dynamics solver using FEniCS and Python. Beginning with simpler problems, participants progressively advance to simulating real-world fluid flow scenarios.Simulations via Ubuntu: Running simulations via the console is well-suited for remote computing and cluster environments, where you can submit jobs to remote servers or clusters for parallel processing. In the course, you will learn how to use Ubuntu console to run your script remotely and become familiar with this type of environment.Post-Processing: Mastery of extracting profound insights from simulation data is a key point. Participants will acquire the skills to effectively visualize and analyze velocity profiles, pressure distributions, and other important fluid dynamics metrics.Note: The course is meticulously designed around open-source software, guaranteeing that all participants can seamlessly access and employ the tools without encountering any cost-related barriers.
