Sharp interface Cartesian grid method I: An easily implemented technique for 3D moving boundary computations

By S. Marella, S. Krishnan, H. Liu, H. Udaykumar. 2005

264 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/8fa11a8d0a3d498893edf1f6696ecab11dc148f8

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In Computational Mechanics

Citations in the corpus

A Level Set Method for Analysis of Film Boiling on an Immersed Solid Surface (2007, methodology): “Recently, considerable progress has been made in the LS formulation for two-phase flows by introducing the ghost fluid method (GFM) [ 14-18 ] as a numerical technique for sharply enforcing the boundary or matching conditions at the interface without being smeared out over several grid spacings.”
A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries (2008, methodology): “[26] who presented a Cartesian grid method, employed a 452 452 mesh on a 30d 30d in their Red 1⁄4 300 cylinder simulations.”
On the numerical oscillation of the direct-forcing immersed-boundary method for moving boundaries (2012, methodology): “was obtained from experiments, and the rest are from numerical simulations, including the spectral-element method [22] and the immersed-boundary method [12, 23].”
Simulating flows with moving rigid boundary using immersed-boundary method (2010, background): “[4]) the irregular shapes of cut cells result in a need for complicated interpolation procedures to approximate fluxes, and this unavoidably affects computational efficiency of Cartesian-grid solvers.”
Sharp interface tracking using the phase-field equation (2007, methodology): “In an explicit approach, the interface temperature could simply be updated at the end of each time step [19–21].”
On the biomechanics of heart valve function. (2009, methodology): “These equations were discretized using a sharp interface, Cartesian grid, finite difference method (Marella et al., 2005).”