Analysis of the shifted boundary method for the Poisson problem in general domains with corners

2021 ◽  
pp. 1
Author(s):  
Nabil M. Atallah ◽  
Claudio Canuto ◽  
Guglielmo Scovazzi
Keyword(s):  
Poisson Problem ◽  
Boundary Method ◽  
Domains With Corners

Parallel Implementation and Performance of an Immersed Boundary Method

2012 ◽  
Author(s):  
Z. Wei ◽  
Z. C. Zheng
Keyword(s):  
Immersed Boundary Method ◽  
Parallel Implementation ◽  
Uniform Flow ◽  
Staggered Grid ◽  
Immersed Boundary ◽  
Order Accuracy ◽  
Poisson Problem ◽  
Boundary Method ◽  
And Performance ◽  
Grid Mesh

An implementation for parallelization of an immersed boundary method is presented using the standard MPI communication. The immersed boundary method in the present work follows that in Zhang & Zheng [1]. The Poisson problem is solved with assistance of a scientific parallel computational library PETSc. A staggered grid mesh is employed to reduce the discretization error. The 2nd order accuracy is obtained eventually. This method is validated by a case with a 2D uniform flow over a stationary or oscillating circular cylinder and a 3D uniform flow over a stationary sphere. Comparisons with previous studies are presented. Also, performances of parallelization, including parallelism and scalability, are tested.

A three-dimensional immersed boundary method based on an algebraic forcing-point-searching scheme for water impact problems

2021 ◽  
Vol 233 ◽  
pp. 109189
Author(s):  
Bin Yan ◽  
Wei Bai ◽  
Sheng-Chao Jiang ◽  
Peiwen Cong ◽  
Dezhi Ning ◽  
...  
Keyword(s):  
Immersed Boundary Method ◽  
Three Dimensional ◽  
Immersed Boundary ◽  
Water Impact ◽  
Boundary Method ◽  
Impact Problems
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