Commun. Comput. Phys., 5 (2009), pp. 1-41.

Marker-Based, 3-D Adaptive Cartesian Grid Method for Multiphase Flow Around Irregular Geometries

Eray Uzgoren 1*, Jaeheon Sim 2, Wei Shyy 2

1 Department of Mechanical Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA, 24060, USA.
2 Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, 48109, USA.

Received 12 January 2008; Accepted (in revised version) 27 May 2008
Available online 15 July 2008


Computational simulations of multiphase flow are challenging because many practical applications require adequate resolution of not only interfacial physics associated with moving boundaries with possible topological changes, but also around three-dimensional, irregular solid geometries. In this paper, we highlight recent efforts made in simulating multiphase fluid dynamics around complex geometries, based on an Eulerian-Lagrangian framework. The approach uses two independent but related grid layouts to track the interfacial and solid boundary conditions, and is capable of capturing interfacial as well as multiphase dynamics. In particular, the stationary Cartesian grid with time dependent, local adaptive refinement is utilized to handle the computation of the transport equations, while the interface shape and movement are treated by marker-based triangulated surface meshes which freely move and interact with the Cartesian grid. The markers are also used to identify the location of solid boundaries and enforce the no-slip condition there. Issues related to the contact line treatment, topological changes of multiphase fronts during merger or breakup of objects, and necessary data structures and solution techniques are also highlighted. Selected test cases including spacecraft fuel tank flow management and liquid plug flow dynamics are presented.

AMS subject classifications: 76T30

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Key words: Multiphase flows, irregular geometry, interface tracking, adaptive Cartesian grid, non-conforming boundary methods, contact line treatment.

*Corresponding author.
Email: (E. Uzgoren), (J. Sim), (W. Shyy)

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