5,064 research outputs found
A full Eulerian finite difference approach for solving fluid-structure coupling problems
A new simulation method for solving fluid-structure coupling problems has
been developed. All the basic equations are numerically solved on a fixed
Cartesian grid using a finite difference scheme. A volume-of-fluid formulation
(Hirt and Nichols (1981, J. Comput. Phys., 39, 201)), which has been widely
used for multiphase flow simulations, is applied to describing the
multi-component geometry. The temporal change in the solid deformation is
described in the Eulerian frame by updating a left Cauchy-Green deformation
tensor, which is used to express constitutive equations for nonlinear
Mooney-Rivlin materials. In this paper, various verifications and validations
of the present full Eulerian method, which solves the fluid and solid motions
on a fixed grid, are demonstrated, and the numerical accuracy involved in the
fluid-structure coupling problems is examined.Comment: 38 pages, 27 figures, accepted for publication in J. Comput. Phy
A General, Mass-Preserving Navier-Stokes Projection Method
The conservation of mass is common issue with multiphase fluid simulations.
In this work a novel projection method is presented which conserves mass both
locally and globally. The fluid pressure is augmented with a time-varying
component which accounts for any global mass change. The resulting system of
equations is solved using an efficient Schur-complement method. Using the
proposed method four numerical examples are performed: the evolution of a
static bubble, the rise of a bubble, the breakup of a thin fluid thread, and
the extension of a droplet in shear flow. The method is capable of conserving
the mass even in situations with morphological changes such as droplet breakup.Comment: Submitted to Computer Physics Communication
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