![](/images/graphics-bg.png)
A Study on Stable Regularized Moving Least-Squares Interpolation and Coupled with SPH Method
Joint Authors
Jiang, Hua
Chen, Yunsai
Zheng, Xing
Jin, Shanqin
Ma, Qingwei
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-28, 28 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-30
Country of Publication
Egypt
No. of Pages
28
Main Subjects
Abstract EN
The smoothed particle hydrodynamics (SPH) method has been popularly applied in various fields, including astrodynamics, thermodynamics, aerodynamics, and hydrodynamics.
Generally, a high-precision interpolation is required to calculate the particle physical attributes and their derivatives for the boundary treatment and postproceeding in the SPH simulation.
However, as a result of the truncation of kernel function support domain and irregular particle distribution, the interpolation using conventional SPH interpolation experiences low accuracy for the particles near the boundary and free surface.
To overcome this drawback, stable regularized moving least-squares (SRMLS) method was introduced for interpolation in SPH.
The surface fitting studies were performed with a variety of polyline bases, spatial resolutions, particle distributions, kernel functions, and support domain sizes.
Numerical solutions were compared with the results using moving least-squares (MLS) and three SPH methods, including CSPH, K2SPH, and KGFSPH, and it was found that SRMLS not only has nonsingular moment matrix, but also obtains high-accuracy result.
Finally, the capability of the algorithm coupled with SRMLS and SPH was illustrated and assessed through several numerical tests.
American Psychological Association (APA)
Jiang, Hua& Chen, Yunsai& Zheng, Xing& Jin, Shanqin& Ma, Qingwei. 2020. A Study on Stable Regularized Moving Least-Squares Interpolation and Coupled with SPH Method. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-28.
https://search.emarefa.net/detail/BIM-1201965
Modern Language Association (MLA)
Jiang, Hua…[et al.]. A Study on Stable Regularized Moving Least-Squares Interpolation and Coupled with SPH Method. Mathematical Problems in Engineering No. 2020 (2020), pp.1-28.
https://search.emarefa.net/detail/BIM-1201965
American Medical Association (AMA)
Jiang, Hua& Chen, Yunsai& Zheng, Xing& Jin, Shanqin& Ma, Qingwei. A Study on Stable Regularized Moving Least-Squares Interpolation and Coupled with SPH Method. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-28.
https://search.emarefa.net/detail/BIM-1201965
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1201965