How can I create and utilize a 4D matrix for the temperature function of time and spatial coordinates T(t, x, y, z)?

16 Ansichten (letzte 30 Tage)
Hi, I need to create a 4D matrix or better to say 4-D array to calculate and record the temperature of 3D elements in each timestep. I simply use T(nt,nx,ny,nz) to create a 4D array, but something went wrong and when I call T(1,nx,ny,nz), MATLAB shows me T(:,:,ny,nz) instead. I think I made a mistake in creating and using multidimensional arrays. Can anyone help me?

Antworten (1)

Hassaan
Hassaan am 14 Jan. 2024
Bearbeitet: Hassaan am 14 Jan. 2024
In MATLAB, when you create a 4-dimensional array and try to access its elements, you need to be careful with the syntax and the dimensions you're specifying. If MATLAB is displaying T(:,:,ny,nz) when you call T(1,nx,ny,nz), it's likely due to an issue with the way you're indexing into the array.
Creating a 4D Array
To create a 4D array in MATLAB, you can simply assign values to it or use functions like zeros, ones, or rand. For example, to create a 4D array of zeros:
nt = 10; % number of timesteps
nx = 5; % x dimension
ny = 5; % y dimension
nz = 5; % z dimension
T = zeros(nt, nx, ny, nz); % creates a 4D array of size 10x5x5x5
Accessing Elements in a 4D Array
To access an element in this 4D array, you need to specify an index for each dimension. For example, to access the element at the first timestep, second x-position, third y-position, and fourth z-position:
value = T(1, 2, 3, 4);
Common Mistakes
  1. Incorrect Indexing: If you provide fewer indices than the number of dimensions, MATLAB will return slices of the array. For example, T(1,:,:,:) will return a 3D array corresponding to the first timestep.
  2. Exceeding Array Dimensions: Ensure that the indices you're using do not exceed the array dimensions. For T(1,nx,ny,nz), if nx, ny, or nz is larger than the respective dimension size, it will result in an error.
  3. Using Incorrect Index Values: Remember that MATLAB indices start at 1, not 0. Ensure that your index values are within the valid range.
  4. Display Limitations: When you try to display a large multidimensional array in the MATLAB command window, MATLAB might show a sliced view (like T(:,:,ny,nz)) to avoid overwhelming output. This does not mean your indexing is wrong, but rather it's a display limitation.
Example of Correct Usage
If you want to assign a value to a specific element in T for a specific timestep and location, you can do it like this:
T(1, 2, 3, 4) = 100; % sets the specified element to 100
And to retrieve the value:
value = T(1, 2, 3, 4); % retrieves the value from the specified element
If you want to see the values along the first time step T(1,:,:,:), you can use the squeeze function which removes singleton dimensions (dimensions of size 1). Here's how you can do it:
% Access and squeeze the first timestep
T_first_timestep = squeeze(T(1,:,:,:));
% Now, T_first_timestep is a 3D array of size nx x ny x nz
disp(T_first_timestep);
This will display the values for the first time step in a more readable format. Remember that squeeze is just changing the way the data is displayed and not the data itself. The original T array remains a 4D array.
Also, ensure that length(t) is correctly set in your array initialization if t is meant to represent your time steps.
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If you find the solution helpful and it resolves your issue, it would be greatly appreciated if you could accept the answer. Also, leaving an upvote and a comment are also wonderful ways to provide feedback.
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  4 Kommentare
Saeed
Saeed am 14 Jan. 2024
Thanks, @Muhammad Hassaan Shah. You're right. I did as you said as follows:
>> squeeze(T(1,:,:,:))
ans(:,:,1) =
22 22 22 22
22 22 22 22
22 22 22 22
22 22 22 22
22 22 22 22
ans(:,:,2) =
22 22 22 22
22 22 22 22
22 22 22 22
22 22 22 22
22 22 22 22
Hassaan
Hassaan am 14 Jan. 2024
@Saeed Thats great.
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If you find the solution helpful and it resolves your issue, it would be greatly appreciated if you could accept the answer. Also, leaving an upvote and a comment are also wonderful ways to provide feedback.
Professional Interests
  • Technical Services and Consulting
  • Embedded Systems | Firmware Developement | Simulations
  • Electrical and Electronics Engineering
Feel free to contact me.

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