A Good starter for discontinuous galerkin methods?

joejohns · September 15, 2015, 14:52

Hi All,

I've got rather lofty ambitions of writing my own cfd code using a discontinuous galerkin formulation. Just wondering if anyone can recommend some good reference texts for a good place to start? I'm not new to cfd - got an Msc in CFD so have a reasonable working knowledge of fluids and solution of pde's but primarily the finite volume and finite difference method. Likewise got a okay knowledge of c and c++ based on reasonably regular use of openfoam. Any ideas or tips where to start would be very much appreciated!

Many thanks and best regards,

Joe

heksel8i · September 16, 2015, 02:38

Hey!

I think Heshaven's book is pretty good plus it has a great deal of matlab + C -code examples in it. Also covers the main references of the topic.

http://www.springer.com/us/book/9780387720654

joejohns · September 16, 2015, 03:25

Hi heksel8i, thanks for the response and the recommendation. Yeah I have this one - it is pretty good! I'm (very slowly) working my way through the text. The examples are really helpful.

Any recommendations on some more fundamental math textbooks in support of some of the methods proposed in this book? I have both 'The Finite Element Method : It's basis and Fundamentals' by O. C. Zienkiewicz et al and 'The Finite Element Method for Fluid Mechanics' by the same author. These are pretty good also but my fear is my applied maths knowledge isn't quite up to the level where I can get the most out of these texts. Any suggestions welcome even basic math references would be appreciated!

Thanks again,

Joe

heksel8i · September 16, 2015, 04:12

That's a tough question and imo to choose a good path on the math literature depends on person...

One good option to grasp on terms with respect FEM and DG would be to check these through:

http://www.amazon.com/Numerical-Solu.../dp/048646900X

and

http://link.springer.com/book/10.100...-3-642-33287-6

They are not meant to be CFD-related books, but I think that they support each other and give some insight to the concepts of finite element based thinking...

I'm also interested in this topic and other options too

joejohns · September 16, 2015, 04:28

Thanks! I'll look into these with interest.

Nice to know there's a friendly person to ask on this - I'm sure I'll be back on the Forum with more questions as I get more into the subject

. If I develop anything at all I would be keen to share in any case.

Thanks again

September 15, 2015, 14:52	A Good starter for discontinuous galerkin methods?	#1
joejohns New Member Joseph Johns Join Date: Jun 2015 Posts: 3 Rep Power: 10	Hi All, I've got rather lofty ambitions of writing my own cfd code using a discontinuous galerkin formulation. Just wondering if anyone can recommend some good reference texts for a good place to start? I'm not new to cfd - got an Msc in CFD so have a reasonable working knowledge of fluids and solution of pde's but primarily the finite volume and finite difference method. Likewise got a okay knowledge of c and c++ based on reasonably regular use of openfoam. Any ideas or tips where to start would be very much appreciated! Many thanks and best regards, Joe

September 16, 2015, 04:12		#4
heksel8i Member hekseli Join Date: Mar 2013 Posts: 49 Rep Power: 13	That's a tough question and imo to choose a good path on the math literature depends on person... One good option to grasp on terms with respect FEM and DG would be to check these through: http://www.amazon.com/Numerical-Solu.../dp/048646900X and http://link.springer.com/book/10.100...-3-642-33287-6 They are not meant to be CFD-related books, but I think that they support each other and give some insight to the concepts of finite element based thinking... I'm also interested in this topic and other options too BSengupta likes this.

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September 16, 2015, 02:38		#2
heksel8i Member hekseli Join Date: Mar 2013 Posts: 49 Rep Power: 13	Hey! I think Heshaven's book is pretty good plus it has a great deal of matlab + C -code examples in it. Also covers the main references of the topic. http://www.springer.com/us/book/9780387720654

September 16, 2015, 03:25		#3
joejohns New Member Joseph Johns Join Date: Jun 2015 Posts: 3 Rep Power: 10	Hi heksel8i, thanks for the response and the recommendation. Yeah I have this one - it is pretty good! I'm (very slowly) working my way through the text. The examples are really helpful. Any recommendations on some more fundamental math textbooks in support of some of the methods proposed in this book? I have both 'The Finite Element Method : It's basis and Fundamentals' by O. C. Zienkiewicz et al and 'The Finite Element Method for Fluid Mechanics' by the same author. These are pretty good also but my fear is my applied maths knowledge isn't quite up to the level where I can get the most out of these texts. Any suggestions welcome even basic math references would be appreciated! Thanks again, Joe

September 16, 2015, 04:28		#5
joejohns New Member Joseph Johns Join Date: Jun 2015 Posts: 3 Rep Power: 10	Thanks! I'll look into these with interest. Nice to know there's a friendly person to ask on this - I'm sure I'll be back on the Forum with more questions as I get more into the subject . If I develop anything at all I would be keen to share in any case. Thanks again