Details
| Original language | English |
|---|---|
| Article number | 1750039 |
| Journal | International Journal of Computational Methods |
| Volume | 14 |
| Issue number | 4 |
| Publication status | Published - 1 Aug 2017 |
| Externally published | Yes |
Abstract
In the standard smoothed particle hydrodynamics (SPH) method, the interaction between two particles might be not pairwise when the support domain varies, which can result in a reduction of accuracy. To deal with this problem, a modified SPH approach is presented in this paper. First of all, a Lagrangian kernel is introduced to eliminate spurious distortions of the domain of material stability, and the gradient is corrected by a linear transformation so that linear completeness is satisfied. Then, concepts of support and dual-support are defined to deal with the unbalanced interactions between the particles with different support domains. Several benchmark problems in one, two and three dimensions are tested to verify the accuracy of the modified SPH model and highlight its advantages over the standard SPH method through comparisons.
Keywords
- Dual-support, Elastic mechanics, Sph, Unbalanced interaction, Wave reflection
ASJC Scopus subject areas
- Computer Science(all)
- Computer Science (miscellaneous)
- Mathematics(all)
- Computational Mathematics
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In: International Journal of Computational Methods, Vol. 14, No. 4, 1750039, 01.08.2017.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Dual-Support smoothed particle hydrodynamics for elastic mechanics
AU - Dai, Zili
AU - Ren, Huilong
AU - Zhuang, Xiaoying
AU - Rabczuk, Timon
PY - 2017/8/1
Y1 - 2017/8/1
N2 - In the standard smoothed particle hydrodynamics (SPH) method, the interaction between two particles might be not pairwise when the support domain varies, which can result in a reduction of accuracy. To deal with this problem, a modified SPH approach is presented in this paper. First of all, a Lagrangian kernel is introduced to eliminate spurious distortions of the domain of material stability, and the gradient is corrected by a linear transformation so that linear completeness is satisfied. Then, concepts of support and dual-support are defined to deal with the unbalanced interactions between the particles with different support domains. Several benchmark problems in one, two and three dimensions are tested to verify the accuracy of the modified SPH model and highlight its advantages over the standard SPH method through comparisons.
AB - In the standard smoothed particle hydrodynamics (SPH) method, the interaction between two particles might be not pairwise when the support domain varies, which can result in a reduction of accuracy. To deal with this problem, a modified SPH approach is presented in this paper. First of all, a Lagrangian kernel is introduced to eliminate spurious distortions of the domain of material stability, and the gradient is corrected by a linear transformation so that linear completeness is satisfied. Then, concepts of support and dual-support are defined to deal with the unbalanced interactions between the particles with different support domains. Several benchmark problems in one, two and three dimensions are tested to verify the accuracy of the modified SPH model and highlight its advantages over the standard SPH method through comparisons.
KW - Dual-support
KW - Elastic mechanics
KW - Sph
KW - Unbalanced interaction
KW - Wave reflection
UR - http://www.scopus.com/inward/record.url?scp=84992089862&partnerID=8YFLogxK
U2 - 10.1142/S0219876217500396
DO - 10.1142/S0219876217500396
M3 - Article
AN - SCOPUS:84992089862
VL - 14
JO - International Journal of Computational Methods
JF - International Journal of Computational Methods
SN - 0219-8762
IS - 4
M1 - 1750039
ER -