A numerical method for solving the 3D unsteady incompressible Navier-Stokes equations in curvilinear domains with complex immersed boundaries

By Liang Ge, Fotis Sotiropoulos. Journal of Computational Physics, 2007

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On the onset of wake meandering for an axial flow turbine in a turbulent open channel flow (2014, methodology): “For all cases, the governing equations are discretized in space using three-point central finite differences on a hybrid staggered/non-staggered grid and integrated in time using an efficient fractional step method (Ge & Sotiropoulos 2007; Kang et al. 2011).”
Fluid–structure interaction involving large deformations: 3D simulations and applications to biological systems (2014, methodology): “De Tullio et al. [21] and Ge & Sotiropoulos [22] have performed three-dimensional simulations of mechanical heart valves by coupling an J Comput Phys.”
An immersogeometric variational framework for fluid–structure interaction: application to bioprosthetic heart valves (2014, methodology): “Borazjani [58] compiled a current and thorough literature review and computed one of the most sophisticated and realistic heart valve analyses to date, using the curvilinear immersed boundary (CURVIB) method [59, 60].”
Curvilinear Immersed Boundary Method for Simulating Fluid Structure Interaction with Complex 3D Rigid Bodies (2008, methodology): “The basic method is the recently published CURVIB approach of Ge and Sotiropoulos [2], which is only briefly described below.”