A Sharp Interface Cartesian Grid Methodfor Simulating Flows with ComplexMoving Boundaries

By H. Udaykumar, Rajat Mittal, P. Rampunggoon, A. Khanna. 2001

608 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/def07b2d01aceaf9c117a0662e80ddb9733da0af

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In Computational Mechanics

Citations in the corpus

An immersed interface method for simulating the interaction of a fluid with moving boundaries (2006, methodology): “[9,28,6,14,29], the sharp interface method [34,39], the ghost fluid method [7,32,10], PHYSALIS [25,31], Calhoun’s method [3] and Russell and Wang’s method [27].”
Wake topology and hydrodynamic performance of low-aspect-ratio flapping foils (2006, methodology): “Further details regarding such immersed boundary methods can be found in Ye et al. (1999), Udaykumar et al. (2001) and Mittal & Iaccarino (2005).”
A Sharp-Interface Immersed Boundary Method with Improved Mass Conservation and Reduced Spurious Pressure Oscillations (2011, methodology): “In order to avoid the formation of very small cut-cells, a geometric cell-merging approach can be adopted [16,17].”
A hybrid Cartesian/immersed boundary method for simulating flows with 3D, geometrically complex, moving bodies (2005, methodology): “The later formulation [14] was also extended to treat moving boundaries with good results for a variety of two-dimensional problems [15].”
Simulating flows with moving rigid boundary using immersed-boundary method (2010, unknown): “[2,3] and Marella et al.”
Low-dimensional models and performance scaling of a highly deformable fish pectoral fin (2009, unknown): “Further details regarding such immersed-boundary methods can be found in Ye et al. (1999), Udaykumar et al. (2001) and Mittal & Iaccarino (2005).”
A mass‐conserving Level‐Set method for modelling of multi‐phase flows (2005, unknown): “In the cut-cell approach [7, 8] on the other hand, the interface conditions are satis ed without smoothing of the interface.”
Computational modelling and analysis of the hydrodynamics of a highly deformable fish pectoral fin (2010, methodology): “Further details regarding such immersed boundary methods can be found in Ye et al. (1999), Udaykumar et al. (2001) and Mittal & Iaccarino (2005).”
A numerical method for solving the 3D unsteady incompressible Navier-Stokes equations in curvilinear domains with complex immersed boundaries (2007, background): “The latter class of methods, on the other hand, treats solid boundaries as sharp interfaces utilizing either Cartesian, cut-cell formulations [3,4] or hybrid Cartesian/Immersed Boundary (HCIB) approaches (see [5,6,1,7]”