Thứ Năm, 31 tháng 12, 2020
Thứ Bảy, 13 tháng 6, 2020
"3 weeks" series - OpenFOAM
"3 weeks" series
Jump to navigation Jump to search In this series you will have the possibility to get a more detailed understanding of the basics of OpenFOAM. You will be able to complete it in about three weeks. It is understandable, that you are exited. Everybody is, but please do not work on the weekends. Breaks are important for the learning process. This is the reason, why the tutorials are divided into fifteen days (see figure below). Do not skip the weekends! Some time without OpenFOAM is also important. You can start by clicking Day 1 below.Go back to Tutorials.
Contents
Installing OpenFOAM
In order to be able to complete the tutorials, you will have to install OpenFOAM. There are multiple ways to do this. First, follow the official guideline here.Alternatively, you can follow the video tutorial of Jozsef Nagy or the written tutorial of Joel Guerrero.
If you prefer Windows 10, you can find a tutorial on installing OpenFOAM in Windows 10 here.
General overview of the "3 weeks" tutorial series
| Day 1 | Day 2 | Day 3 | Day 4 | Day 5 |
| install - first steps | steps - visualization | introductory course | discretization | theory - fun simulations - tips |
| Day 6 | Day 7 | Day 8 | Day 9 | Day 10 |
| geometry and meshing | turbulence 1 | turbulence 2 | multiphase | parallelization |
| Day 11 | Day 12 | Day 13 | Day 14 | Day 15 |
| programming 1 | programming 2 | programming 3 | programming 4 | programming 5 |
Day 1
On Day 1 you will start to get familiar with OpenFOAM. Just follow the instructions step by step and familiarize yourself with the concept of OpenFOAM, Linux, the terminal and working with dictionaries.- basic workflow in OpenFOAM
- getting used to the terminal
- meshing with the OpenFOAM internal meshing utility blockMesh
- running simulations
- first steps with postprocessing in Paraview
Day 2
On Day 2 you will continue with your first steps. You will get an even deeper understanding and learn the work flow of OpenFOAM with a special focus on visualization of results.- more detailed understanding of the work flow
- further short and fun simulations
- grid convergence
- transport equations
- detailed scientific visualization of results
Day 3
On Day 3 you will digest all the information from the previous days by listening to a talk on the basics of OpenFOAM.Day 4
On Day 4 you will understand the theory behind OpenFOAM by taking a detailed look at the discretization of the equations and the numerical settings. We will cover a big theoretical area about- gradient scheme
- gradient limiter
- convection discretization
- face interpolation
- diffusion discretization
- influence of discretization on the simulation results
- CFL number
- linear solvers
- solution methods
Day 5
Day 5 is there to round off the week with some fun simulations. Also we give you links to some interesting documents, which can help you solve your problems in OpenFOAM in the future.Day 6
Day 6 is all about meshing. In order to be able to run simulation for real life problems, you have to understand how to create an arbitrary high quality mesh and which alternatives you have in OpenFOAM. For this you will learn about- geometry creation
- mesh generation
Day 7
On Day 7 we will talk about turbulence modeling, as this is one of the most important aspects in a CFD simulation. It is important to understand the models as well as the difference between them ion order to choose the correct one for a given problem. Here we will cover the following topics:- steady-state turbulence modeling
- transient turbulence modeling
- Reynolds-Averaged Navier-Stokes equations
- Large Eddy Simulations
- initial and boundary conditions
- case setup
Day 8
On day 8 we continue our investigation of turbulence modeling by doing extensive parameter studies to understand the idea behind turbulence modeling, the difference between models and the actual application. After this day you will be able to choose the correct model for your own problem.Day 9
On Day 9 we will start another important topic in CFD, multiphase modeling. It is important to understand the additional physics involved to correctly set up the simulation case and to run the simulation. We will take a look at the available models and focus on the Volume-Of-Fluid Method and run several simulations to fully understand the theory and to gain experience in the simulations.Day 10
On Day 10 we will take a look at the possibility to parallelize simulations in OpenFOAM. This is important, as high-quality simulation setups tend to be computationally very intensive. In order to reduce computation time, you will learn about- the idea of parallelization
- domain decomposition
- steps of parallelization
- postprocessing parallel results
Day 11
On Day 11 we will take a look at programming. Today is all about the initial steps. By now you should be able to run simulations of real life problems with OpenFOAM. In some cases models might not be implemented in the source code. OpenFOAM offers through an open source code the possibility to add models to the existing code. This might be a challenging task, but with the following tutorials, you will get a basic understanding of the work flow.Day 12
On day 12 we will further explore the programming possibilities OpenFOAM offers to extend the source code according to our needs. First we start with a video of Professor Jasak on programming. Can you follow the other two tutorials after that?Day 13
(https://wiki.openfoam.com)Although you already programmed applications the days before, on Day 13 we take a look at the basics of C++ and start with simple examples, so you can view them from a C++ perspective.
Day 14
Today we continue with programming. There is only one tutorial, but this tutorial consist of multiple examples and explains a lot.Day 15
On Day 15 we finalize our 3-weeks-series by doing a fun programming simulation and going through a couple of pages of pdf.End of the 3-weeks-series
We reached the end of Day 15 and with that the end of the 3-weeks-series. Now, now... Let's not get emotional here. Let's think about all the great challenges and successes in your CFD career with OpenFOAM and look forward to the future.Also you can take a look at the collection by topic, where you can find further tutorials in different topics.With this in mind... cheers!
Thứ Tư, 10 tháng 6, 2020
Numerical Mathematics and Computing
- Introduction
1.1 Preliminary Remarks
1.2 Review of Taylor Series - Floating-Point Representation and Errors
2.1 Floating-Point Representation
2.2 Loss of Significance - Locating Roots of Equations
3.1 Bisection Method
3.2 Newton's Method
3.3 Secant Method - Interpolation and Numerical Differentiation
4.1 Polynomial Interpolation
4.2 Errors in Polynomial Interpolation
4.3 Estimating Derivatives and Richardson Extrapolation - Numerical Integration
5.1 Lower and Upper Sums
5.2 Trapezoid Rule
5.3 Romberg Algorithm - Additional Topics on Numerical Integration
6.1 Simpson's Rule and Adaptive Simpson's Rule
6.2 Gaussian Quadrature Formulas - Systems of Linear Equations
7.1 Naive Gaussian Elimination
7.2 Gaussian Elimination with Scaled Partial Pivoting
7.3 Tridiagonal and Banded Systems - Additional Topics on Systems of Linear Equations
8.1 Matrix Factorizations
8.2 Iterative Solution of Linear Systems
8.3 Eigenvalues and Eigenvectors
8.4 Power Methods - Approximation by Spline Functions
9.1 First-Degree and Second-Degree Splines
9.2 Natural Cubic Splines
9.3 B Splines: Interpolation and Approximation - Ordinary Differential Equations
10.1 Taylor Series Methods
10.2 Runge-Kutta Methods
10.3 Stability, Adaptive Runge-Kutta Methods, and Multistep Methods - Systems of Ordinary Differential Equations
11.1 Methods for First-Order Systems
11.2 Higher-Order Equations and Systems
11.3 Adams-Bashforth-Moulton Methods - Smoothing of Data and the Method of Least Squares
12.1 Method of Least Squares
12.2 Orthogonal Systems and Chebyshev Polynomials
12.3 Other Examples of the Least Squares Principle - Monte Carlo Methods and Simulation
13.1 Random Numbers
13.2 Estimation of Areas and Volumes by Monte Carlo Techniques
13.3 Simulation - Boundary Value Problems for Ordinary Differential Equations
14.1 Shooting Method
14.2 A Discretization Method - Partial Differential Equations
15.0 Some Partial Differential Equations from Applied Problems
15.1 Parabolic Problems
15.2 Hyperbolic Problems
15.3 Elliptic Problems - Minimization of Multivariate Functions
16.1 One-Variable Case
16.2 Multivariate Case - Linear Programming
17.1 Standard Forms and Duality
17.2 Simplex Method
17.3 Approximate Solution of Inconsistent Linear Systems
C3 C6 C7
Thứ Ba, 9 tháng 6, 2020
Relationships between undrained shear strength su and liquidity index IL and water content ratio WCR
Table 1 Relationships between undrained shear strength su and liquidity index IL and water content ratio WCR
Table 2 Undrained shear strength at liquid and plastic limits of soils (sLL, sPL) and its strength ratio (Rs). Figures in parenthesis are average or recommended values
Reference:
Shimobe (2020) Relationships between undrained shear strength, liquidity index, and water content.pdf
Bài giảng Excel hay
Danh sách một số bài giảng Excel hay
1. Top 50 thủ thuật Excel: https://youtu.be/MDpb90pmIM0
2. Form nhập liệu tự động: https://youtu.be/v6cVD_NbFcQ
3. Học VBA Excel full: https://youtu.be/DT0QOoLvM10
4. Pivot Table trong Excel: https://youtu.be/7BQd_7ziKb0
5. Tạo báo cáo chuyên nghiệp: https://youtu.be/yjT3-osvH4w
6. Định dạng có điều kiện: https://youtu.be/OAXQcmHJGec
7. Luyện các hàm quan trọng: https://youtu.be/f0s05bTM9Eo
8. In ấn trong Excel: https://youtu.be/VB4QnlETk0g
9. Excel cơ bản full: https://youtu.be/k81nf5TM8rc
10. Excel cho Kế toán: https://youtu.be/SPQetkB3p_E
11. Giải 101 bài thực thi: http://bit.ly/101baiThucHanh
12. Lập Trình VBA nâng cao: http://bit.ly/VBAtrongExcel
13. Hàm điều kiện IF nâng cao: https://youtu.be/7gQe3B7JcRg
14. Hướng dẫn vẽ biều đồ: https://youtu.be/y8lMmXFH8ko
15. Học 25 phím tắt trong 5 phút: https://youtu.be/fU24GY3OSTU
16. Excel cho người đi làm: http://bit.ly/excelChoNguoiDiLam
17. Toàn bộ 100 hàm Excel thông dụng: https://youtu.be/M4aX0IaaIXU
18. Top 13 thủ thuật định dạng số: https://youtu.be/eevVoEeGXcA
19. 10 Kỹ năng Excel cần biết: https://youtu.be/ZgzamzTO_po
20. 25 thủ thuật hàng đầu: https://youtu.be/guCCtlpCVhw
21. Học trang tính google sheet: https://www.youtube.com/playlist…
(Data Science & Big Data Vietnam)
Thứ Năm, 16 tháng 1, 2020
Julia Downloads Reach 12.95 Million (77% Growth Since Jan 2019)
As of Jan 1, 2020, Julia has been downloaded more than 12.95 million times - an increase of 77% in just one year. Julia use and popularity grew by double digits last year on every one of the 30+ metrics we track, including those listed below.
Cumulative Julia Growth Statistics
|
Total as of Jan 1, 2019
|
Total as of Jan 1, 2020
|
Growth
|
Number of News Articles Mentioning Julia or Julia Computing
|
253
|
468
|
+85%
|
Discourse Views (Julia Forums)
|
12,656,734
|
22,920,570
|
+81%
|
Julia Downloads (JuliaLang.org + Docker Hub + JuliaPro)
|
7,305,737
|
12,950,630
|
+77%
|
Published Citations of Julia: A Fast Dynamic Language for Technical Computing (2012) + Julia: A Fresh Approach to Numerical Computing (2017)
|
1,048
|
1,680
|
+60%
|
YouTube Julia Language Channel Views
|
1,013,276
|
1,562,223
|
+54%
|
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Julia #1 Most Exciting New Language for Bioinformatics: Bioinformatics scientist Albert Vilella conducted a survey and identified Julia as the #1 most exciting new language for bioinformatics
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Julia Blog Posts
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Julia is the fastest high performance open source computing language for data, analytics, algorithmic trading, machine learning, artificial intelligence, and other scientific and numeric computing applications. Julia solves the two language problem by combining the ease of use of Python and R with the speed of C++. Julia provides parallel computing capabilities out of the box and unlimited scalability with minimal effort. Julia has been downloaded more than 12.95 million times and is used at more than 1,500 universities. Julia co-creators are the winners of the 2019 James H. Wilkinson Prize for Numerical Software and the 2019 Sidney Fernbach Award. Julia has run at petascale on 650,000 cores with 1.3 million threads to analyze over 56 terabytes of data using Cori, one of the ten largest and most powerful supercomputers in the world.
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