A new boundary condition framework for particle method by using local regular-distributed background particles - the special case for Poisson Equation
A new boundary condition framework for particle method by using local regular-distributed background particles - the special case for Poisson Equation
To improve the accuracy of solving the Poisson equation and the efficiency of handling complex boundary shapes in the particle method, this paper proposes a Local Regular-distributed Background Particles (LRBP) as an alternative to traditional boundary handling methods. This method avoids the trouble of arranging virtual particles by introducing background particles, making it suitable for problems with complex boundary shapes. In addition, based on the framework of the weak form Poisson equation, the boundary conditions are easily applied, and the calculations are more accurate. Furthermore, this method allows for different interpolation methods inside and outside the boundary, providing flexibility and versatility. These characteristics are well demonstrated in the validation examples, which indicate its potential to solve complex flow problems.
Poisson equation, background particle, boundary condition, meshless method
Sun, Zhe
743cc7be-e3c6-4810-9cea-8ad2a38ccefc
Dou, Liyuan
076c9899-4388-4065-91c4-0a224b6e0228
Mu, Zongbao
2d9bda28-6b86-4276-8f12-50bd67754762
Tan, Siyuan
e070f2b2-8320-42b9-b81a-a6063527d03c
Zong, Zhi
2c3cf193-2757-446e-9021-ff9282838e63
Djidjeli, Kamal
94ac4002-4170-495b-a443-74fde3b92998
Zhang, Guiyong
bb6f24ad-38f9-48ab-b485-1eba3c53ff11
November 2023
Sun, Zhe
743cc7be-e3c6-4810-9cea-8ad2a38ccefc
Dou, Liyuan
076c9899-4388-4065-91c4-0a224b6e0228
Mu, Zongbao
2d9bda28-6b86-4276-8f12-50bd67754762
Tan, Siyuan
e070f2b2-8320-42b9-b81a-a6063527d03c
Zong, Zhi
2c3cf193-2757-446e-9021-ff9282838e63
Djidjeli, Kamal
94ac4002-4170-495b-a443-74fde3b92998
Zhang, Guiyong
bb6f24ad-38f9-48ab-b485-1eba3c53ff11
Sun, Zhe, Dou, Liyuan, Mu, Zongbao, Tan, Siyuan, Zong, Zhi, Djidjeli, Kamal and Zhang, Guiyong
(2023)
A new boundary condition framework for particle method by using local regular-distributed background particles - the special case for Poisson Equation.
Journal of Marine Science and Engineering, 11 (11), [2183].
(doi:10.3390/jmse11112183).
Abstract
To improve the accuracy of solving the Poisson equation and the efficiency of handling complex boundary shapes in the particle method, this paper proposes a Local Regular-distributed Background Particles (LRBP) as an alternative to traditional boundary handling methods. This method avoids the trouble of arranging virtual particles by introducing background particles, making it suitable for problems with complex boundary shapes. In addition, based on the framework of the weak form Poisson equation, the boundary conditions are easily applied, and the calculations are more accurate. Furthermore, this method allows for different interpolation methods inside and outside the boundary, providing flexibility and versatility. These characteristics are well demonstrated in the validation examples, which indicate its potential to solve complex flow problems.
Text
jmse-11-02183-v2
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More information
Accepted/In Press date: 14 November 2023
e-pub ahead of print date: 16 November 2023
Published date: November 2023
Additional Information:
Funding Information:
This work is supported by the National Key Research and Development Program of China (2021YFC2801701 & 2021YFC2801700), the National Natural Science Foundation of China (No. 52171295, 52192692), and Fundamental Research Funds for the Central Universities (No. DUT22LK17).
Publisher Copyright:
© 2023 by the authors.
Keywords:
Poisson equation, background particle, boundary condition, meshless method
Identifiers
Local EPrints ID: 484854
URI: http://eprints.soton.ac.uk/id/eprint/484854
PURE UUID: 3daca0ab-3a9e-42b5-9138-5b54bfa14c1b
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Date deposited: 23 Nov 2023 17:34
Last modified: 14 Jun 2024 17:25
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Contributors
Author:
Zhe Sun
Author:
Liyuan Dou
Author:
Zongbao Mu
Author:
Siyuan Tan
Author:
Zhi Zong
Author:
Guiyong Zhang
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