A versatile sharp interface immersed boundary method for incompressible flows with complex boundaries

By Rajat Mittal, Haibo Dong, Meliha Bozkurttas, Fady M. Najjar, Abel Vargas, Alfred von Loebbecke. Journal of Computational Physics, 2008

1,246 citations recorded by the source corpus.

Subfields: Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/764c324e16fb88e9255bf964912d19060f08b7f7

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In Computational Mechanics

Citations in the corpus

Hydrodynamic Performance of Aquatic Flapping: Efficiency of Underwater Flight in the Manta (2016, methodology): “ab ut this method can be found in [29,30].”
An immersed boundary method for fluid–flexible structure interaction (2009, methodology): “Recently, various forms and extensions of the IB method have been developed for simulating fluid–structure interaction problems [3,5–14].”
On the numerical oscillation of the direct-forcing immersed-boundary method for moving boundaries (2012, methodology): “…of the flow variables 1Corresponding author: haoxiang.luo@vanderbilt.edu (E-mail), +1-615-322-2079 (Tel), +1-615-343-6687 (Fax) at the points inside the solid body can be considered a smooth extrapolation of the physical flow field (and thus, no discontinuity across the interface is involved).”
Computational analysis of vortex dynamics and performance enhancement due to body–fin and fin–fin interactions in fish-like locomotion (2017, methodology): “The forces on the ﬁsh model’s body and ﬁns are computed through direct integration of the surface pressure and shear, which are projected from the ﬂow variables around the ﬁsh body (Mittal et al. (2008)).”
Fluid–structure interaction involving large deformations: 3D simulations and applications to biological systems (2014, methodology): “The underlying ideas of the immersed-boundary method are very different depending on the specific implementations, for example, the continuous forcing approach originally developed by Peskin [8], the direct forcing approach based on local flow reconstruction [9, 10, 11], and the projection approach ”
A new level set numerical wave tank with improved density interpolation for complex wave hydrodynamics (2016, methodology): “In the original GCIBM, the fluid values are extrapolated orthogonal to the boundary into the solid [44][32], which can become difficult for sharp corners.”
Low-dimensional models and performance scaling of a highly deformable fish pectoral fin (2009, methodology): “The accuracy of the solver for zero-thickness bodies has been demonstrated by simulating flow past a suddenly accelerated normal plate and comparing results with available experiments and simulations (Mittal et al. 2008).”
Exponential roughness layer and analytical model for turbulent boundary layer flow over rectangular-prism roughness elements (2016, methodology): “The code has been extensively validated (see, e.g., Mittal et al. 2008; Bhardwaj & Mittal 2012; Zheng, Hedrick & Mittal 2013; Vedula et al. 2014).”
An improved immersed boundary method with direct forcing for the simulation of particle laden flows (2012, methodology): “Mittal, Udaykumar and co-corkers [38, 39, 20, 19] over several papers developed sharpinterface IBMs.”
Dynamic pitching of an elastic rectangular wing in hovering motion (2012, methodology): “To implement the boundary conditions at the interface, “ghost nodes” outside the fluid region are defined at each time step, at which the flow variables are extrapolated (Mittal et al. 2008).”
A Sharp-Interface Immersed Boundary Method with Improved Mass Conservation and Reduced Spurious Pressure Oscillations (2011, methodology): “15 represent the global and local errors respectively, and it indicates that the local as well as the global accuracy of the original sharp-interface IBM [2] is preserved in the current method.”
Vortex dynamics and new lift enhancement mechanism of wing–body interaction in insect forward flight (2016, methodology): “The 3D incompressible Navier–Stokes equations are discretized using a cell-centred, collocated arrangement of the primitive variables and are solved using a finite-difference-based Cartesian grid immersed boundary method (Mittal et al. 2008).”
Computational modelling and analysis of the hydrodynamics of a highly deformable fish pectoral fin (2010, methodology): “The solver has been extensively validated by simulating flow past stationary as well as accelerating cylinders and spheres, and the accuracy of the solver for zero-thickness bodies has been demonstrated by simulating flow past a suddenly accelerated normal plate and comparing results with available ”