Extended immersed boundary method using FEM and RKPM

By Xiaodong Wang, Wing Kam Liu. 2004

228 citations recorded by the source corpus.

Subfields: Computational Mechanics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/fa7c336294a195ee71024396e15b7a622cecdf37

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

1. Thomas J. R. Hughes
2. Timon Rabczuk
3. Yuri Bazilevs
4. Michael A. Scott
5. Stéphane P.A. Bordas
6. Ming-Chen Hsu
7. David J. Benson
8. Dominik Schillinger

In Mechanics of Materials

1. Thomas J. R. Hughes
2. Timon Rabczuk
3. Stéphane P.A. Bordas
4. Yuri Bazilevs
5. Michael A. Scott
6. David J. Benson
7. Ming-Chen Hsu
8. Wolfgang A. Wall

Citations in the corpus

• A generalized finite element formulation for arbitrary basis functions: From isogeometric analysis to XFEM (2010, methodology): “Other types of basis functions, including EFG [16, 17] and RKPM [41, 42, 43] can obviously be used.”
• An eXtended Finite Element Method/Lagrange multiplier based approach for fluid-structure interaction (2008, background): “It is capable to simulate thin and deformable boundaries and fully fledged, deformable 3d structures submersed in incompressible flow [45,48].”
• Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement (2005, methodology): “For a state-of-the-art summary of meshless methods, see [23–40].”
• Comparison of various fluid-structure interaction methods for deformable bodies (2007, methodology): “The Extended Immersed Boundary Method [19] and the Immersed Finite Element Method [21] describe the solid using the finite element method while the fluid is formulated using a finite difference or finite element method, respectively.”
• Rheology of red blood cell aggregation by computer simulation (2006, background): “As illustrated in details in [18,11], we define the fluid–structure interaction force within the domain X as f FSI;s i , where FSI stands for fluid–structure interaction”
• Numerical Methods for Fluid-Structure Interaction — A Review (2012, methodology): “Representative examples of the immersed domain method include the immersed finite element method developed by Liu et al. (2006), Wang and Liu (2004) and Zhang et al. (2004, 2007), and the immersed continuum method developed by Wang (2006, 2007, 2010).”
• A finite element approach to the immersed boundary method (2003, methodology): “Our approach is different from that of [35] [36], since we deal with the force term involving the Dirac delta function in a variational way, so that there is no need of approximating the delta function.”