2D Steady-State Heat Equation

2D定常熱方程式

2D稳态热方程

2D stationäre Wärmegleichung

Use the finite difference method and Matlab code to solve the 2D steady-state heat equation:

Where T(x, y) is the temperature distribution in a rectangular domain in x-y plane.

The boundary condition is specified as follows in Fig.1.

Figure 1: Boundary conditions

Results:

Along blue dashed line, the temperature profile is given by:

Temperature profile along blue line.

Along red dashed line, the temperature profile is given by:
 

Temperature profile along red line

 Temperature discribution is given by:

Temperature distribution: 2D Steady-State Heat Equation.

  
Click on BUY NOW to get the Matlab code that solves 2D steady-state heat equation + full report.

Electric Field due to Point Charge Sources

点電荷源による電界

由于点电荷源的电场

Elektrisches Feld durch Punktladungsquellen

We have implemented an algorithm to show the Electric Field due to Point Charge Sources.



We move the Point Charge Sources in random directions.



Note that, we have not included in the dynamic of motion the electric forces between them, it is just an ilustration on how electric field looks like:

Firstly,

Gauss's Equation

Results:

Electric Field due to Point Charge Sources

Electric Field due to Point Charge Sources

Click on BUY NOW to get the C+OpenGL code.

 ElectricField.c

Magnetic Field of Square Current Loop

方形電流ループの磁場

方波电流环磁场

Magnetfeld der quadratischen Stromschleife

We have solved the Biot-Savat equation used for computing the resultant Magnetic Field B at position r generated by a steady current I, for example:

It shows the Magnetic Field B (green solid line) produced by a coil: both square and rectacgular geometry (blue solid line).

Magnetic Field B of square current loop

Magnetic Field B

Magnetic Field B of rectangular current loop.

Please click on BUY NOW button to download  C OpenGL code.

magneticB.c

Matlab Code for a Two-Dimensional Truss Bridge.

2次元トラスブリッジ用のMATLABコード。

二维桁架桥

Matlab-Code für eine zweidimensionale Fachwerkbrücke.

For the two-dimensional pin-jointed truss bridge shown in Figure 1, the Young’s modulus is E = 200 GPa and the cross sectional area is A = 1500mm² for all truss members. The truss structure is  subjected to a varying load F acting downwards in the nodes 6, 7, 8 as depicted in Figure 1.

Create a MatLab computer program to:

1.    Compute the global displacements at all nodes, the reactions at the supports and the axial forces in every truss member for F = 20 kN.


 Draw the undeformed shape (in blue) and the deformed shape (in red) of the bridge in the same graph. The results are  displayed in Figure 2.

Figure 2: It shows the distortion (node displacement) when the force apply given by figure 1. Note that the displacement is exaggerated 100 times.

Click on BUY NOW to get the Matlab program to calculate a two-dimensional Truss Bridge.

Collisions 3D - C language and OpenGL

衝突3D - C言語とOpenGL

Collisions 2D - C Language and OpenGL

コリジョン2D - C言語とOpenGL

Wave Equation