A Cartesian Grid Method for Solving the Two-Dimensional Streamfunction-Vorticity Equations in Irregular Regions

By Donna A. Calhoun. 2002

350 citations recorded by the source corpus.

Subfields: Computational Mechanics

View Paper: https://www.semanticscholar.org/paper/67269dc2cf60f230e5d246bf34d729f7b20b3d97

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In Computational Mechanics

1. Yanping Lin
2. Xiaoming He
3. Chao-An Lin
4. Tao Lin
5. Sheng Xu
6. Ming-Chih Lai
7. Zhijian Wang
8. Shen-Wei Su

Citations in the corpus

• Approximation capability of a bilinear immersed finite element space (2008, methodology): “Since then, FD methods such as the Cartesian grid method, embedded boundary method, cut-cell methods, etc., have been developed, and they have been used to treat Euler ∞ows [3, 25, 28, 42, 56], Navier-Stokes ∞ow [ 20 , 23, 43], and of course, the interface problems involving the fundamental elliptic”
• A Fast Finite Differenc Method For Solving Navier-Stokes Equations on Irregular Domains (2003, methodology): “We believe that our method is simpler than the one developed in [6].”
• A ghost-cell immersed boundary method for flow in complex geometry (2002, methodology): “Calhoun and LeVeque [3,4] proposed a streamfunction-vorticity method to model irregular shapes in a Cartesian grid.”
• A multidomain boundary element method for unsteady laminar flow using stream function-vorticity equations (2005, neutral): “7 2 Calhoun [3] NZ204.”
• Simulating flows with moving rigid boundary using immersed-boundary method (2010, methodology): “Implementation of the IIM has been carried out by Calhoun [6] and Li and Wang [7] in the context of vorticity-stream function formulations.”
• 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].”
• An immersed boundary technique for simulating complex flows with rigid boundary (2007, methodology): “The implementation of the IIM has been applied within the vorticity and stream function formulation [10,11].”
• A cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow (2003, methodology): “As Calhoun [2] did in her recent paper, we compared length of the trailing bubble, angle of separation, and coefficient of drag.”