New discretization scheme

arkangel · June 6, 2007, 11:28

Well i dont know if it is new. I am trying to use the lighthill equation with The Xoodles Solver

d²p/dt² - d²p/d²xi= d²Tij/dxidxj

where Tij is a tensor made of the velocity, pressure , stress , and density fields .

How can I set this d²T/dxidxj term up. Normally it should be a problem with the terms in the LHS as described in pages P37 -P44 in the Programmers' Guide , but i could find a discretization for the term in the RHS

arkangel · June 7, 2007, 04:25

reading my post : the last sentence should be :

How can I set this d²T/dxidxj term up. Normally it shouldn't be a problem with the terms in the LHS as described in pages P37 -P44 in the Programmers' Guide , but i couldn't find a discretization for the term in the RHS

7islands · June 7, 2007, 21:41

Hi,
Would it be too much of work just following the derivation process of the equation written in the original Lighthill paper and constructing the RHS with the combinations of the operators?

Takuya

June 6, 2007, 11:28	Well i dont know if it is new	#1
arkangel Member O R Join Date: Mar 2009 Posts: 50 Rep Power: 17	Well i dont know if it is new. I am trying to use the lighthill equation with The Xoodles Solver d²p/dt² - d²p/d²xi= d²Tij/dxidxj where Tij is a tensor made of the velocity, pressure , stress , and density fields . How can I set this d²T/dxidxj term up. Normally it should be a problem with the terms in the LHS as described in pages P37 -P44 in the Programmers' Guide , but i could find a discretization for the term in the RHS

June 7, 2007, 04:25	reading my post : the last se	#2
arkangel Member O R Join Date: Mar 2009 Posts: 50 Rep Power: 17	reading my post : the last sentence should be : How can I set this d²T/dxidxj term up. Normally it shouldn't be a problem with the terms in the LHS as described in pages P37 -P44 in the Programmers' Guide , but i couldn't find a discretization for the term in the RHS

June 7, 2007, 21:41	Hi, Would it be too much of w	#3
7islands Super Moderator Takuya OSHIMA Join Date: Mar 2009 Location: Niigata City, Japan Posts: 518 Blog Entries: 1 Rep Power: 20	Hi, Would it be too much of work just following the derivation process of the equation written in the original Lighthill paper and constructing the RHS with the combinations of the operators? Takuya

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