An immersed interface method for simulating the interaction of a fluid with moving boundaries
By Sheng Xu, Zhijian Wang. Journal of Computational Physics, 2006
363 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design
View Paper: https://www.semanticscholar.org/paper/738f399627e62b04282ad3abb2a7c9cdf395caf1
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Mechanics
- Fotis Sotiropoulos
- Iman Borazjani
- Chao-An Lin
- Liang Ge
- Shen-Wei Su
- Stéphane Popinet
- Joan Baiges
- S. Shahmiri
In Computer Graphics and Computer-Aided Design
- Stéphane Popinet
- Fotis Sotiropoulos
- Chao-An Lin
- Shen-Wei Su
- Liang Ge
- Iman Borazjani
- Z. J. Wang
- Attila Bergou
Citations in the corpus
- Passive wing pitch reversal in insect flight (2007, methodology): “Forward-time integration is done using a fourth-order Runge– Kutta method as described in Xu & Wang (2006a).”
- Curvilinear Immersed Boundary Method for Simulating Fluid Structure Interaction with Complex 3D Rigid Bodies (2008, methodology): “In these methods the immersed boundary is treated as a sharp interface and its effect on the fluid is accounted for either by locally modifying the shapes of the grid cells to produce a boundary-fitted mesh (cut-cell methods [20]), or by incorporating the jump conditions caused by the discrete delta”
- An immersed boundary technique for simulating complex flows with rigid boundary (2007, methodology): “Also, based on the work of Li and Lai [12] for the Navier–Stokes equations with singular forces, the immersed interface method using the Navier Stokes equation with primitive variables [13,14] has also been explored.”
- A symmetric method for weakly imposing Dirichlet boundary conditions in embedded finite element meshes (2012, methodology): “The more recent Immersed Interface Method achieves higher order accuracy by avoiding the use of the Dirac delta distribution to define the forcing terms (see [22, 23, 31]).”
- Numerical Models of Surface Tension (2018, methodology): “Although immersed interface schemes have been extended to second-order (Leveque & Li 1994, 1997, Peskin 2002, Xu & Wang 2006), they have only been applied so far to Lagrangian interface discretisations and fluid-structure interactions.”