NDLI: A Hybrid Framework for Free-Surface Flows With Irregular Solid Boundaries

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Zhang, Qinghai
Copyright Year	2010
Abstract	The author presents a hybrid continuum-particle framework (HyPAM) consisting of three components. The first is a second-order interface tracking method: the Polygonal Area Mapping (PAM) method [Zhang and Liu 2008. J. Comput. Phys. 227(8):4063–4088], which represents material areas explicitly as piecewise polygons and utilizes polygon-clipping algorithms from computational geometry. In addition to its mesh-topology independence, the PAM method is free of numerical diffusion and tracks interfaces with or without singularities naturally and accurately. Both numerical experiments and theoretical analyses show that the PAM method is superior to existing VOF methods. The second component is a hybrid formulation for free-surface flows [Zhang and Liu 2009. J. Comput. Phys. 228(4):1312–1342]. A graph-based algorithm decomposes the water phase into a continuum zone and a particle zone, where the Euler equations and the free fall of rigid bodies are used as the governing equations, respectively and separately. The third component is the Explicit Jump Approximation (EJA) method for handling irregular solid boundaries in viscous flows [Zhang and Liu 2010. J. Comput. Phys. in press]. An analysis shows that the widely-used linear and quadratic ghost-cell approaches (GCA) are inconsistent and first-order accurate, respectively. As a remedy, the jump corrections at the solid-fluid interface are explicitly approximated and incorporated into the discretization of the Laplacian operator to obtain second-order convergence. Further developments of HyPAM include a fourth-order Navier-Stokes solver with adaptive mesh refinement (AMR), incorporating a particle method, and multi-material three-dimensional interface tracking.
Sponsorship	Ocean, Offshore and Arctic Engineering Division
Starting Page	707
Ending Page	716
Page Count	10
File Format	PDF
ISBN	9780791849149
DOI	10.1115/OMAE2010-20594
e-ISBN	9780791838730
Volume Number	29th International Conference on Ocean, Offshore and Arctic Engineering: Volume 6
Conference Proceedings	ASME 2010 29th International Conference on Ocean, Offshore and Arctic Engineering
Language	English
Publisher Date	2010-06-06
Publisher Place	Shanghai, China
Access Restriction	Subscribed
Subject Keyword	Water Computational geometry Fluids Algorithms Approximation Particulate matter Theoretical analysis Topology Flow (dynamics) Diffusion (physics)
Content Type	Text
Resource Type	Article

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