Hello and welcome in this particular lecture, this is very interesting lecture here, we will discuss
in depth about meshing.
So a lot of you have asked me why is that important and why in simulation software they use it.
So if you Google and search, it will say that the final dimension, the smaller domain, it will have
and it will have a better solution and so on.
But what does that actually mean?
Let me explain you with a simple example.
Suppose I have a structure.
Let's say I have, uh, cone, OK?
I have some kind of a cone.
And I define this site as tenfold and this as ground.
So basically, this is the zero fault.
OK, so if I zoom in this model, uh, so the cross section will look something like this, right?
It will something be like a triangle.
Now, what they do is that it will divide this region into smaller domains.
Right.
This is what dance does.
And in each smaller domain, it will try to solve.
The solution, so it will take this domain and solve for the solution here and then it will solve here,
it will solve here and so on, and ultimately it will compute the total model.
Right.
But what happens when you take a courser mess?
Suppose Umesh is not fine.
So you have like this.
Maybe it's very coarse.
OK, so what the software will see is that here is one boundary.
Here is another boundary.
Here is one boundary and here is one boundary.
So it will try to solve the solution in this region.
Now take the region, which is present here.
Here you have a sharp edge.
Right, so if you have a coach mess, the software will not be able to differentiate how sharp is the
corner because it is not meshing right.
It is considering the whole region as a single domain.
Do you understand my point?
So hence a finer mesh is needed.
Now, let me explain what will happen when you have a finer mesh.
Let us think that, oh, let me remove this and let's imagine that I zoom in to this stop Dizon.
OK, so the zoomed out version of the tape will look something like this.
Now, if I have a finer mesh, it will have a very fine small domain throughout the geometry and each
domain will be treated like a small area where the equations are right.
So here you can see there, since the smaller boxes are small.
So the solution will be much better because if you see that, suppose you have an image, right?
Let's say you have an image which is one megapixel and you have an image which is 10 megapixel.
So that 10 megapixel image will have a greater resolution than a one megapixel way because the 10 million
pixel image has greater number of dots which contain the information of this image that is similar to
the case in terms of mesh also.
I guess that you get the point.
Now, let me demonstrative a beautiful example which I created myself.
Honestly, I did not get any motivation online through any cause or something.
This idea totally from my own.
Just to explain you all what machine actually does.
So this is a simple model which I made just to show you as an example.
So what I have is this is a sheet of material.
OK, this is a single material.
And it has some connectivity, fine, and this region I have grounded, so this great region is at zero
fault.
This region is at 10 world.
So definitely the current will flow from lower region to the site, right?
And after the simulation, I I'm trying to plot the electric field.
This is my idea.
OK, so the connectivity I took is zero point.
Sorry, zero point one sigma per meter, so this is the connectivity I took for this measure.
So that is not important here.
Oh, the concept is important.
So what is the result we are getting from this?
Let me show you.
So after I have solved the simulation, this is the plot for the electric field in voltage per meter.
So the red region represent the higher electric field and the blue region represent the lower electric
field.
OK, so as you go towards the red reddish region, then it really is high.
So can you spot the problem here?
As you can see, if I show you back and forth from the mesh and the solution, I think you can figure
it out.
If you see here, here I have a box, right?
A single domain.
Now, if you see here, can this party boxier.
So this is the problem, of course.
OK, forget that.
Take this recent.
Right.
Here you can see here's the problem.
So this is one of the reason why you need to use finer mesh, also know that you might think, OK,
this is fine, but we can smooth the result and we can improve it.
So even if you smooth, uh, the plot, there are options in council where you can smooth your result.
So these kind of rough region will be smoothed out.
So after smooth.
Then also the result is not correct because you see there are a lot of sharp regions.
But the electric field is not at all accumulating anywhere.
Also, the electric field is somewhat exploding and this region, which is not correct, right.
Because we know for material electric field gets concentrated near sharp edges whenever current is run
through it.
So there is a lot of inconsistencies, even if you try to, uh, smooth out your solution for your work.
So what can we do?
OK, so here what I've done is I've improved upon our old mesh to this mesh.
So there is a slight improvement.
As you can see, the mesh is quite good after simulating agritourism something like this.
As you can see, it has improved a lot.
If I show you the previous result.
You see, this is the previous result and here's the final result of this mesh.
So still, there are a lot of inconsistencies here because the mesh is not totally smooth, so there
are few regions where the result is not that great, but overall, the result is quite good.
Now here I have a proper machine by proper machine.
I mean, I have a good amount of meshing in the corners.
So you can see in the corners I have a good amount of meshing.
So let's see how the result looks in this case.
So this is the result with proper meshing.
As you can see, the plot looks such a smooth and beautiful and it is consistent also.
So the current is flowing through the lower half to the top and you can see that the court is accommodating
exactly at the corner, which is expected.
Right.
So here the radius of curvature is very small, hence up the electric field is accumulating in this
corner.
So this was a very small example where I wanted to show you the concept of meshing.
And I hope that you liked and learned something from this lecture.
I have a small request.
Please do read my course.
It really helps me to keep my motivation and make more courses.
So thank you for watching and take care.