scholarly journals An adaptive harmonic polynomial cell method with immersed boundaries: Accuracy, stability, and applications

2021 ◽  
Author(s):  
Chao Tong ◽  
Yanlin Shao ◽  
Harry B. Bingham ◽  
Finn‐Christian W. Hanssen
Keyword(s):  
Harmonic Polynomial ◽  
Cell Method ◽  
Immersed Boundaries

scholarly journals Local and global properties of the harmonic polynomial cell method: In-depth analysis in two dimensions

2017 ◽  
Vol 113 (4) ◽  
pp. 681-718 ◽  
Author(s):  
S. Ma ◽  
F.-C. W. Hanssen ◽  
M. A. Siddiqui ◽  
M. Greco ◽  
O. M. Faltinsen
Keyword(s):  
Harmonic Polynomial ◽  
Two Dimensions ◽  
Cell Method ◽  
Global Properties ◽  
Depth Analysis

scholarly journals Numerical analysis on the generation, propagation and interaction of solitary waves by a Harmonic Polynomial Cell Method

Wave Motion ◽  
2019 ◽  
Vol 88 ◽  
pp. 34-56 ◽  
Author(s):  
Chao Tong ◽  
Yanlin Shao ◽  
Finn-Christian W. Hanssen ◽  
Ye Li ◽  
Bin Xie ◽  
...  
Keyword(s):  
Numerical Analysis ◽  
Solitary Waves ◽  
Harmonic Polynomial ◽  
Cell Method

Fully-Nonlinear Wave-Current-Body Interaction Analysis by a Harmonic Polynomial Cell Method

2014 ◽  
Vol 136 (3) ◽  
Author(s):  
Yan-Lin Shao ◽  
Odd M. Faltinsen
Keyword(s):  
Circular Cylinder ◽  
Boundary Element ◽  
Nonlinear Wave ◽  
Wave Diffraction ◽  
Harmonic Polynomial ◽  
Boundary Element Methods ◽  
Fully Nonlinear ◽  
Marine Hydrodynamics ◽  
Body Interaction ◽  
Cell Method

A new numerical 2D cell method has been proposed by the authors, based on representing the velocity potential in each cell by harmonic polynomials. The method was named the harmonic polynomial cell (HPC) method. The method was later extended to 3D to study potential-flow problems in marine hydrodynamics. With the considered number of unknowns that are typical in marine hydrodynamics, the comparisons with some existing boundary element- based methods, including the fast multipole accelerated boundary element methods, showed that the HPC method is very competitive in terms of both accuracy and efficiency. The HPC method has also been applied to study fully-nonlinear wave-body interactions; for example, sloshing in tanks, nonlinear waves over different sea-bottom topographies, and nonlinear wave diffraction by a bottom-mounted vertical circular cylinder. However, no current effects were considered. In this paper, we study the fully-nonlinear time-domain wave-body interaction considering the current effects. In order to validate and verify the method, a bottom-mounted vertical circular cylinder, which has been studied extensively in the literature, will first be examined. Comparisons are made with the published numerical results and experimental results. As a further application, the HPC method will be used to study multiple bottom-mounted cylinders. An example of the wave diffraction of two bottom-mounted cylinders is also presented.

Cartesian cut-cell method for axisymmetric separating body flows

AIAA Journal ◽  
1999 ◽  
Vol 37 ◽  
pp. 905-911
Author(s):  
G. Yang ◽  
D. M. Causon ◽  
D. M. Ingram
Keyword(s):  
Cell Method ◽  
Cut Cell ◽  
Cartesian Cut
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