CFD & Mathematic ?

Veger · March 4, 2011, 07:28

I'm new to CFD and I'm reading a book about computational fluid mechanics and heat transfer and the first chapter is talking about the theoretical solutions of the partial differential equations encountered in fluid mechanics
&heat transfer.
I really don't remember many of this mathematical topics(like solving using fourier series) and since CFD is all about numerical solutions should I skip this chapter and continue or should I revise all this math?

Also,I'm in my 3rd year (mechanical engineering) do you think it's soon for me to study such an advanced topic ?

arphy · March 4, 2011, 08:04

By Third year, yo should already have all the mathematics.
It would be great if you had numerical methods before start reading CFD or Numerical methods for PDEs.

It will help you greatly if you spend several hours review Fourier series and Taylor series. At least you should be able to solve 1D heat equation using Fourier method. Anything higher than this is not needed for introductory course in CFD.

With these two basic method, you can go all the way to almost anything.
If you decide to work in this field, then in the future you may need FEM and functional analysis

Veger · March 4, 2011, 08:18

Yes,I already have all the mathematics also numerical methods
I am very good in numerical methods specially in using finite difference method what I just forgot is some of the mathematical topics I studied before such as Fourier analysis.

So I wonder if I should revise these topics quickly or get deep?Or even skip to the next chapter where the numerical analysis begin?

arphy · March 6, 2011, 11:55

In that case you have sufficient knowledge, just go on ahead
when you encountered the analysis part, you will be forced to
make a short review anyway.

cheers

March 4, 2011, 07:28	CFD & Mathematics ?	#1
Veger New Member Join Date: Mar 2011 Posts: 3 Rep Power: 15	I'm new to CFD and I'm reading a book about computational fluid mechanics and heat transfer and the first chapter is talking about the theoretical solutions of the partial differential equations encountered in fluid mechanics &heat transfer. I really don't remember many of this mathematical topics(like solving using fourier series) and since CFD is all about numerical solutions should I skip this chapter and continue or should I revise all this math? Also,I'm in my 3rd year (mechanical engineering) do you think it's soon for me to study such an advanced topic ? Last edited by Veger; March 4, 2011 at 08:46. Reason: Title

March 4, 2011, 08:04	It is sufficient	#2
arphy New Member Arpiruk Hokpunna Join Date: Mar 2011 Posts: 10 Rep Power: 15	By Third year, yo should already have all the mathematics. It would be great if you had numerical methods before start reading CFD or Numerical methods for PDEs. It will help you greatly if you spend several hours review Fourier series and Taylor series. At least you should be able to solve 1D heat equation using Fourier method. Anything higher than this is not needed for introductory course in CFD. With these two basic method, you can go all the way to almost anything. If you decide to work in this field, then in the future you may need FEM and functional analysis

March 6, 2011, 11:55	You can skip	#4
arphy New Member Arpiruk Hokpunna Join Date: Mar 2011 Posts: 10 Rep Power: 15	In that case you have sufficient knowledge, just go on ahead when you encountered the analysis part, you will be forced to make a short review anyway. cheers

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March 4, 2011, 08:18		#3
Veger New Member Join Date: Mar 2011 Posts: 3 Rep Power: 15	Yes,I already have all the mathematics also numerical methods I am very good in numerical methods specially in using finite difference method what I just forgot is some of the mathematical topics I studied before such as Fourier analysis. So I wonder if I should revise these topics quickly or get deep?Or even skip to the next chapter where the numerical analysis begin?