Discontinuous diffusion synthetic acceleration for Sn transport on 2D arbitrary polygonal meshes

Accepted Manuscript Discontinuous diffusion synthetic acceleration for S n transport on 2D arbitrary polygonal meshes Bruno Turcksin, Jean C. Ragusa

PII: DOI: Reference:

S0021-9991(14)00410-0 10.1016/j.jcp.2014.05.044 YJCPH 5297

To appear in:

Journal of Computational Physics

Received date: 24 December 2013 Revised date: 22 May 2014 Accepted date: 24 May 2014

Please cite this article in press as: B. Turcksin, J.C. Ragusa, Discontinuous diffusion synthetic acceleration for S n transport on 2D arbitrary polygonal meshes, J. Comput. Phys. (2014), http://dx.doi.org/10.1016/j.jcp.2014.05.044

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Sn

{

}

·∇

∈D

D  ≡

∈ D

{ D

≈

·n

}



n

n

≤

≤

L

M

≡

D

L

M D

L

L

L

L

L L

DL



I − DL

M



M





DL L

s t

D





−

·∇

 +

·n

 −

|

· n|

V 



V

−

≤ V

≤

A

A



−

A



−∇ · ∇

∈D

−

∈ D



n·∇

−

n

D

∇ {{





}}

 i h



i h

d

−

{{ d

}}

−



 i h

D

A

A

−

{{}}

i h

d



Th i h

T



∇



r

±

n n

n





⎧ ⎪ ⎪ ⎨





∈

⎪ ⎪ ⎩

∈ D

× 





 V

×

e

e

×

×



 V

A ∇

∇

2π NV



2π NV



A

1

R

−A

A ←

P

2

A A P

RA P

R

A

−

−

−

−

−

−

P R

P

P

A

P

P

P ⎧ ⎪ ⎨ ⎪ ⎩

S P

S P

DL−1 M

A−1 I

I −I

− DL−1 M

·r

≤

≤

≤

≤

− −

×

(+1) (+1) 2 2

() 2

2

− −

(a) Whole domain

(b) Zoom

(a) Whole domain

(b) Zoom