✍ Scribed by F.H Hamdan
No coin nor oath required. For personal study only.
This paper presents both the theory and the formulation of ¯uid ®nite elements based on the Lagrangian kinematic description of motion. This is used to develop two-dimensional, axisymmetric and three-dimensional ®nite elements for ¯uid±structure interaction analyses. To enforce the irrotationality condition, a penalty on the rotation terms in the ¯uid stiness matrix is introduced. At the ¯uid±structure interface, adequate normal stinesses are employed to prevent arti®cial penetration of the ¯uid into the structure and to model the sliding boundary condition. A bilinear constitutive relationship is used to model the pressure density relationship of a cavitating ¯uid. The proposed formulation is implemented into the general purpose structural computer code ASAS-NL and validated by testing it against several wave propagation and ¯uid±structure interaction problems for which there are existing solutions. The application of the program to liquid storage tanks and dam±reservoir systems is also demonstrated.
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