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Going with the Flow

delete2024-07-19
delete1
PRE
AI
Y
Yousuf Soliman *
M
Marcel Padilla
O
Oliver Gross
F
Felix Knöppel
U
Ulrich Pinkall
P
Peter Schröder
DOI:10.1145/3658164delete
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摘要

摘要

En 中文
Given a sequence of poses of a body we study the motion resulting when the body is immersed in a (possibly) moving, incompressible medium. With the poses given, say, by an animator, the governing second-order ordinary differential equations are those of a rigid body with time-dependent inertia acted upon by various forces. Some of these forces, like lift and drag, depend on the motion of the body in the surrounding medium. Additionally, the inertia must encode the effect of the medium through its added mass. We derive the corresponding dynamics equations which generalize the standard rigid body dynamics equations. All forces are based on local computations using only physical parameters such as mass density. Notably, we approximate the effect of the medium on the body through local computations avoiding any global simulation of the medium. Consequently, the system of equations we must integrate in time is only 6 dimensional (rotation and translation). Our proposed algorithm displays linear complexity and captures intricate natural phenomena that depend on body-fluid interactions.
Keyword:
Rigid body dynamics
shape change
lift
drag
Kirchhoff tensor
swimming

期刊

ACM Transactions on Graphics 封面图
ACM Transactions on Graphics
IF:
9.5
论文数:
4.7K
被引数:
3.6W

机构

C
California Institute of Technology
学者数:
2.9W
论文数: 2.5W
被引数: 4.9W
T
Technical University of Berlin
学者数:
1.3W
论文数: 1.1W
被引数: 18
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