# FEM Formulation of 2D mass, momentum and energy eq

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 April 23, 2005, 09:18 FEM Formulation of 2D mass, momentum and energy eq #1 Amit Guest   Posts: n/a Dear All, I would like to know the finite element formulation and the method of solution of mass, momentum and energy equation needed to determine temperature distribution in a weld pool. The flow is considered to be viscous and incompressible. Amit

 April 23, 2005, 11:50 Re: FEM Formulation of 2D mass, momentum and energ #2 Harish Guest   Posts: n/a You can find standard FEM solvers online to solve these equations -h

 April 23, 2005, 22:46 Re: FEM Formulation of 2D mass, momentum and energ #3 Amit Guest   Posts: n/a Dear Harish, Thankyou so much for your response. Can you suggest me few sites as I am unable to trace them despite of my best efforts. I am honest enough in making this statement. I am still unable to know how do we solve mass momentum and energy equation simultaneously to determine temperature distribution. Also can you mail me your mail id and suggest me some good books to understand the same. I am in my initial stage of doctaral research and I am to really overcome this teething problem. With deep regards Amit Amit

 April 23, 2005, 23:57 Re: FEM Formulation of 2D mass, momentum and energ #4 Harish Guest   Posts: n/a The way you solve it can be best understood if you look at finite difference methods. You write the finite differences and then update the value in time based on the initial value in the domain. Try to look in anybook on numerical methods for fluid mechanics . It might give you an idea of how they go about with it. Is there any specific reason you want to use finite elements ? finite volumes would be easier to implement considering its fluid flow studies. -H

 April 25, 2005, 00:33 Re: FEM Formulation of 2D mass, momentum and energ #5 Amit Guest   Posts: n/a Dear Sir, Here are the reasons for using FEM: 1.The problem domain has complex geometry 2. The same fem mesh is then to be used for stress analysis 3. As the fluid flow which is turbulent in weld pool I am to adopt K- Epsilon turbulent model where dynamic remeshing is to be done FEM is the only option. As I am just the beginner in this feild I have refereed several books, but not a single book makes the formulation and solution methodology clear for solving mass, momentum and energy equation sumultaneously. Can you just help me to spot book, literature, notes etc. As research paper simply skips the details. Amit

 April 25, 2005, 01:03 Re: FEM Formulation of 2D mass, momentum and energ #6 Harish Guest   Posts: n/a Have a loo at computational fluid mechanics and heat transfer by anderson -H

 April 25, 2005, 01:44 Re: FEM Formulation of 2D mass, momentum and energ #7 Amit Guest   Posts: n/a Dear Sir, Anderson's book I refer too often to get my basics through but the book is focussing on FDM techniques and not on FEM. Can you suggest me some sure shot book which you have come across...! Amit

 April 25, 2005, 01:57 Re: FEM Formulation of 2D mass, momentum and energ #8 diaw Guest   Posts: n/a Look for books by these authors: O.C.Zienkewicz, R.L.Taylor If you can read Thai, I can recommend an excellent local Professor's books... diaw...

 April 25, 2005, 05:29 Re: FEM Formulation of 2D mass, momentum and energ #9 Amit Guest   Posts: n/a Hi ! I do not understand thai ! I am sorry. If you want to really help me kindly let me know the exact book with exact reference as I have already browsed almost all basic books which you have been suggesting. With regards Amit

 April 25, 2005, 06:05 Re: FEM Formulation of 2D mass, momentum and energ #10 diaw Guest   Posts: n/a Well Amit, The two that I quoted you are THE good ones... In terms of exact pages etc, that is YOUR job... If you really want a true mathematical prespective, travel to & read for about 2 years... diaw...

 April 25, 2005, 09:30 Re: FEM Formulation of 2D mass, momentum and energ #11 Amit Guest   Posts: n/a Dear Sir, OOPPS...! I am really really happy today .....! Can I know more about you....! Atleast your name as nothing gets clear from your mail id des@adtherm.com...! May be I am to move a long distance and you may help me in understanding my problem in a better way whenever I get stuck...! With ocean deep regards Amit

 April 25, 2005, 10:10 Re: FEM Formulation of 2D mass, momentum and energ #12 diaw Guest   Posts: n/a That was not called for... Would the board moderator please be so kind as to settle this fellow down a little. Thanks diaw...

 April 25, 2005, 11:17 Re: FEM Formulation of 2D mass, momentum and energ #13 Harish Guest   Posts: n/a If you want to learn finite element methods the best book would be the one by hughes. I think it also has an example of fluid flow solved along with code. -H

 May 6, 2005, 13:23 Re: FEM Formulation of 2D mass, momentum and energ #14 Mary Popins Guest   Posts: n/a MARY POPINS WANT TO KNOW!