Game Development Reference
In-Depth Information
n
n
n
s 2 k
2
a i s =
W ( s r il ,sh )) 1 +(
W ( s r jl ,sh )) 1 )
((
W ( s r ij ,sh )
j =1
l =1
l =1
n
n
n
s 2 k
2
(( 1
s 3
W ( r il ,h )) 1 +( 1
s 3
W ( r jl ,h )) 1 ) 1
=
s 4
W ( r ij ,h )
j =1
l =1
l =1
n
n
n
s 2 k
2
s 3
s 4 ((
W ( r il ,h )) 1 +(
W ( r jl ,h )) 1 )
=
W ( r ij ,h )
j =1
l =1
l =1
n
n
n
k
2 ((
W ( r il ,h )) 1 +(
W ( r jl ,h )) 1 )
= s
W ( r ij ,h )
j =1
l =1
l =1
= a i
s,
(6.9)
where(seeSection6.2)
W ( r ij ,h )= W ( x i
x j ,h ) ,
15
πh 3 (1
/h ) 3 ,
W ( r ,h )=
r
45
πh 4 (1
r
/h ) 2
W ( r ,h )=
r
r
.
Bibliography
[Blinn 82] James F. Blinn. “A Generalization of Algebraic Surface Drawing.”
ACM Transactions on Graphics 1:3 (1982), 235-256.
[Colin et al. 06] F. Colin, R. Egli, and F. Y. Lin. “Computing a Null Divergence
Velocity Field Using Smoothed Particle Hydrodynamics.” Journal of Com-
putational Physics 217:2 (2006), 680-692.
[Edmond and Shao 02] Y. M. L. Edmond and S. Shao. “Simulation of Near-
Shore Solitary Wave Mechanics by an Incompressible SPH Method.” Ap-
plied Ocean Research 24 (2002), 275-286.
[Green 08] Simon Green. “Particle-Based Fluid Simulation.” Available
at http://developer.download.nvidia.com/presentations/2008/GDC/GDC08
ParticleFluids.pdf , 2008.
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