Topic
Material point method
About: Material point method is a research topic. Over the lifetime, 874 publications have been published within this topic receiving 23086 citations.
Papers published on a yearly basis
Papers
TL;DR: In this article, a new numerical technique is presented that has many advantages for obtaining solutions to a wide variety of time-dependent multidimensional fluid dynamics problems, including stability, accuracy, and zoning.
2,408 citations
TL;DR: In this article, an arbitrary Lagrangian-Eulerian kinematical description of the fluid domain is adopted in which the grid points can be displaced independently of fluid motion.
1,554 citations
TL;DR: In this paper, an extension of the particle-in-cell method is proposed, in which particles are interpreted to be material points that are followed through the complete loading process and a fixed Eulerian grid provides the means for determining a spatial gradient.
1,349 citations
TL;DR: In this article, an extension to solid mechanics of the FLIP particle-in-cell method is presented, which uses two representations of the continuum, one based on a collection of material points and the other based on computational grid.
985 citations
TL;DR: In this article, the finite point method (FPM) is proposed for solving partial differential equations, which is based on a weighted least square interpolation of point data and point collocation for evaluating the approximation integrals.
Abstract: The paper presents a fully meshless procedure fo solving partial differential equations. The approach termed generically the ‘finite point method’ is based on a weighted least square interpolation of point data and point collocation for evaluating the approximation integrals. Some examples showing the accuracy of the method for solution of adjoint and non-self adjoint equations typical of convective-diffusive transport and also to the analysis of compressible fluid mechanics problem are presented.
879 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 14 |
| 2024 | 44 |
| 2023 | 36 |
| 2022 | 72 |
| 2021 | 115 |
| 2020 | 55 |