2D mass conservation could be splitted or not?

nashiong · July 3, 2010, 16:43

hi all:
If I solve 2D mass conservation equation. Ht+(HU)x+(HV)y=0
is that possible for me to split it to 2 1D problem by 2 steps?
1). Ht+(HU)x=0 to get H intermediate value, U is value at n time step
2). Ht+(HV)y=0 to correct this intermediate value, V is value at n time step.
thanks a lot.
I see a lot of people using splitting method to seperate diffusion term and pressure term. but I never see people do that to mass conservation.

nashiong · July 3, 2010, 16:47

besides, I am also confusing about the essence of ADI. It seems ADI is for 2D heat diffusion equation. it targets at only 1 variables. if the equation is not decoupled, we can not use ADI directly?....

nashiong · July 4, 2010, 18:35

anybody could give some suggestion on this problem？

July 3, 2010, 16:43	2D mass conservation could be splitted or not?	#1
nashiong New Member Join Date: Jun 2010 Posts: 14 Rep Power: 16	hi all: If I solve 2D mass conservation equation. Ht+(HU)x+(HV)y=0 is that possible for me to split it to 2 1D problem by 2 steps? 1). Ht+(HU)x=0 to get H intermediate value, U is value at n time step 2). Ht+(HV)y=0 to correct this intermediate value, V is value at n time step. thanks a lot. I see a lot of people using splitting method to seperate diffusion term and pressure term. but I never see people do that to mass conservation. Last edited by nashiong; July 3, 2010 at 18:47.

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July 3, 2010, 16:47		#2
nashiong New Member Join Date: Jun 2010 Posts: 14 Rep Power: 16	besides, I am also confusing about the essence of ADI. It seems ADI is for 2D heat diffusion equation. it targets at only 1 variables. if the equation is not decoupled, we can not use ADI directly?....

July 4, 2010, 18:35		#3
nashiong New Member Join Date: Jun 2010 Posts: 14 Rep Power: 16	anybody could give some suggestion on this problem？