Numerical Web

Category: 미분류

  • [CMD] How to extract all files name in directory

    You can use the command “dir” to list all files and folders in a directory, and “dir /b” to list only the names of files in a directory. To save the list of filenames to a text file, you can use the command “dir /b > filename.txt”. For example, to list all files in the…

  • Front-end Web Frameworks : (2) Foundation

    Introduction Foundation is a popular responsive front-end framework that is similar to Bootstrap in terms of features and functionality. It is an open-source framework developed by ZURB, a design and development company. The framework is built on top of the popular jQuery library and provides a wide range of features and tools for building responsive,…

  • How to Execute C++ Console Program with Background Mode

    Unix-based System To execute a C++ console program in background mode on a Unix-based system, you can use the “nohup” command. The syntax is as follows: The “nohup” command allows the program to continue running after you close the terminal window. The “&” at the end of the command runs the program in the background.…

  • Modal Analysis for Transient Heat Transfer

    Modal Superposition Modal superposition is a technique used to solve wave equations, such as the Schrödinger equation, for systems with arbitrary boundary conditions. The basic idea is to express the solution as a linear combination of a set of orthonormal modes that satisfy the boundary conditions. These modes, called boundary modes, are determined by solving…

  • Formulations of Heat Transfer Equation (1) Governing Equation

    Governing Equation of Time Transient Heat Equation heat equation is a common example of a parabolic partial differential equation that is used to model heat transfer in solids. It can be written as: Where: $T$ = temperature $t$ = time $α$ = thermal diffusivity (a material property) $k$ = thermal conductivity $\rho$ = density $C_p$…

  • NGSolve Example for Heat Transfer using Complex Geometries Part A

    these lines of code are importing several modules that are used for performing boolean operations on 3D shapes and visualizing the resulting shapes in a web browser. These modules can be used together to perform boolean operations on 3D shapes, perform FEA simulations on the resulting shapes, and visualize the resulting shapes in a web…

  • Boundary Conditions for Partial Differential Equations (1) Types of Boundaries

    Here is a summary of the different types of boundary conditions that are commonly used in partial differential equation (PDE) problems: where $u$ is the variable (such as temperature or velocity) and $g$ is the fixed value specified by the boundary condition. where $u$ is the variable (such as temperature or velocity) and ${du/dn}$ is…

  • Required Packages for Webapp based on Jupyter Notebook and NGSolve Webgui

    To use NGSolve with a web GUI, you will need to install the following Python packages: To install these packages, you can use pip, the Python package manager. For example, you can install the ngsolve package by running the following command: You can install the other packages in the same way. webgui_jupyter_widgets is a package…

  • Finite Difference Scheme (3) Examples for Ordinary Differential Equation

    Here is an example of how to solve a second-order ordinary differential equation (ODE) using finite differences: Suppose we have the following second-order ODE: where $y$ is a function of $x$ and $y”$ is the second derivative of $y$ with respect to $x$. To solve this ODE using finite differences, we can start by discretizing…

  • Finite Difference Scheme (2) Second order schemes

    Here are examples of numerical schemes for finite differences that have second-order accuracy: Forward differences: To achieve second-order accuracy using forward differences, we can use the following formula: This formula uses three function values to approximate the derivative, which results in a higher-order approximation. For example, suppose we have the function $f(x) = x^2$ and…