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PHYSALIS

swMATH ID: 2386
Software Authors: Huang, Huaxiong; Takagi, Shu
Description: PHYSALIS: A new method for particle flow simulation. III: Convergence analysis of two-dimensional flows. We study the convergence property of PHYSALIS when it is applied to incompressible particle flows in two-dimensional space. PHYSALIS is a recently proposed iterative method which computes the solution without imposing the boundary conditions on the particle surfaces directly. Instead, a consistency equation based on the local (near particle) representation of the solution is used as the boundary conditions. One of the important issues needs to be addressed is the convergence properties of the iterative procedure. In this paper, we present the convergence analysis using Laplace and biharmonic equations as two model problems. It is shown that convergence of the method can be achieved but the rate of convergence depends on the relative locations of the cages. The results are directly related to potential and Stokes flows. However, they are also relevant to Navier-Stokes flows, heat conduction in composite media, and other problems.
Homepage: http://www.sciencedirect.com/science/article/pii/S0021999103002304
Keywords: Particle flows; Potential flows; Stokes flows
Related Software: Proteus; CMPGRD; BiCGstab; Nektar++; Ogen; Gerris; OBBTree; LIGGGHTS; PeliGRIFF; 2DECOMP; phParAdapt; PHASTA; PARDISO; PETSc; FreeFem++; SLIC
Cited in: 30 Publications

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
PHYSALIS: A new method for particle flow simulation. III: Convergence analysis of two-dimensional flows. Zbl 1061.76061
Huang, Huaxiong; Takagi, Shu
2003
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Cited by 67 Authors

4 Prosperetti, Andrea
4 Takagi, Shu
4 Wang, Lianping
3 Joseph, Daniel D.
2 Ayala, Orlando M.
2 Brändle de Motta, Jorge César
2 Climent, Éric
2 Estivalezes, Jean-Luc
2 Fan, Jianren
2 Gao, Hui
2 Karniadakis, George Em
2 Liu, Qianlong
2 Maxey, Martin R.
2 Oguz, Hasan N.
2 Rangel, Roger H.
2 Vincent, Stéphane
2 Wang, Zeli
2 Zhang, Zhongzhen
1 Andersen, Charles
1 Barbaresco, P.
1 Bertoluzza, Silvia
1 Breugem, Wim-Paul
1 Cen, Kefa
1 Chahine, Georges L.
1 Chen, Mingwen
1 Chen, Shiyi
1 Connington, Kevin W.
1 Derksen, Jos J.
1 Dong, Suchuan
1 Fede, Pascal
1 Feng, James J.
1 Glowinski, Roland
1 Grabowski, Wojciech W.
1 Hori, Naoki
1 Hsiao, Chao-Tsung
1 Huang, Huaxiong
1 Ii, Satoshi
1 Ismail, Mourad
1 Jin, Yan
1 Liu, Dong
1 Liu, Xiumin
1 Luo, Kun
1 Luo, Xian
1 Ma, Jingsen
1 Mathews, Kevin L.
1 Matsumoto, Yoichiro
1 Maury, Bertrand
1 Pan, Tsorng-Whay
1 Peng, Cheng
1 Perrin, A.
1 Rapaka, Saikiran
1 Renon, Nicolas
1 Sarthou, Arthur
1 Simonin, Olivier
1 Subramaniam, Shankar
1 Sugiyama, Kazuyasu
1 Takeuchi, Shintaro
1 Vreman, A. W.
1 Wachs, Anthony
1 Wang, Z. Jane
1 Wang, Zidong
1 Xia, Zhenhua
1 Xu, Sheng
1 Xu, Ying
1 Yang, Zhenchao
1 Yue, Pengtao
1 Zhang, Quan
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Cited in 13 Serials

13 Journal of Computational Physics
4 Journal of Fluid Mechanics
3 Computers and Fluids
1 Acta Mechanica
1 Computers & Mathematics with Applications
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal for Numerical Methods in Engineering
1 Numerische Mathematik
1 Physics of Fluids
1 International Journal of Computational Fluid Dynamics
1 Flow, Turbulence and Combustion
1 Journal of Zhejiang University. Science
1 Acta Mechanica Sinica
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Cited in 8 Fields

27 Fluid mechanics (76-XX)
7 Numerical analysis (65-XX)
4 Mechanics of deformable solids (74-XX)
2 Optics, electromagnetic theory (78-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Partial differential equations (35-XX)
1 Mechanics of particles and systems (70-XX)
1 Classical thermodynamics, heat transfer (80-XX)

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