SPH- GSPH, . [-Lx, Lx] x [-Ly, Ly]. Lx = Ly = π/2. Δ/2, 1:2. ξ (ξx, ξy), :
(19)
(20)
(.. ). , , 0.01 π 2 . ξ , . , , 1. , tsc, π/2. . 2 , SPH- GSPH .
2. SPH- ( ) GSPH ( ). t = 0.0, 1.3, 2.7 4.0tsc,,, . SPH- , 4tsc , . GSPH, , , . 1:2.
- , . , SPH-, , . GSPH . , SPH- . , (Price, 2008). , .
SPH- (, Price Monaghan, 2004, ). , L, :
(21)
u . SPH-:
(22)
- SPH-. , ( 22), , , - .
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I02, , :
(23)
2- . , SPH-, , . SPH-, , (. (29) (41) I02). , (23), , , .
(17) . - I02 i j, . i j (RPS ). SPH . , (, ) ().
, GSPH . SPH- GSPH, . , , . , GSPH, Cha Whitworth (2003a). GSPH , SPH-, . GSPH .
. , . GSPH [1], . , γ, 5/3 .
4.1 (ρu: ρl = 1: 2)
. 2.5, 1:2. 0.22 0.3 . - [0, 1/3] x [- 1/6, 1/6]. , A07, . y , , . ~ 105, (A07).
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(24)
Ao , 1/40 . λ , 1/6. , . (|y| < 0.05) .
(25)
ρu ρl , , τ 0.43.
3 , , t = 0.5, 1.0, 1.5 2.0 τ. t = 0.5τ . , . , t = 2.0τ, , . . SPH-, GSPH , . , , ( ).
4 t = 1.0 2.0 τ, , , SPH-, (. . 6 Price (2008)). , Price (2008) .
4.2 ((ρu: ρl = 1: 10)
, , , . , , 1:10. 0.2 0.63 . , , ~ 105. , .
5 . t = 1.0 1.25τ . ( 1.0τ) , . , .
, , , , (Price 2008). GSPH ( SPH-) , . . . 2.5, , . , , .