Results 1 to 10 of about 892 (131)
Results in Physics, 2020 The computational accuracy of the traditional reproducing kernel particle method (RKPM) is susceptible to different kernel functions. To eliminate the adverse effects of the different kernel functions on the computational accuracy of the RKPM, the radial
Zheng Liu +3 more
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A Hybrid Reproducing Kernel Particle Method for Three-Dimensional Helmholtz Equation
MathematicsThe reproducing kernel particle method (RKPM) is one of the most universal meshless methods. However, when solving three-dimensional (3D) problems, the computational efficiency is relatively low because of the complexity of the shape function.
Piaopiao Peng, Ning Wang, Yumin Cheng
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A meshless solution of nonlinear elastoplastic problems based on the RRKPM
Results in Physics, 2021 In this paper, a numerical approach based on the reproducing kernel particle method (RKPM) and the radial basis function (RBF), which is defined as meshless radial basis reproducing kernel particle method (RRKPM), is developed and presented for solving ...
Hongfen Gao, Gaofeng Wei
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The high-order smooth interpolated reproducing kernel particle method for elastodynamics problems
Boundary Value Problems, 2022 Combining the interpolation reproducing kernel particle method (IRKPM) with the integral weak form of elastodynamics, we present a high-order smooth interpolated reproducing kernel particle method for an elastodynamics plane problem.
Jinpeng Gu, Yixiao Qin, Zhonghua Li
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Advanced Modeling and Simulation in Engineering Sciences, 2022 The numerical modelling of natural disasters such as landslides presents several challenges for conventional mesh-based methods such as the finite element method (FEM) due to the presence of numerically challenging phenomena such as severe material ...
Jonghyuk Baek +3 more
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The meshless analysis of wave equations based on the RRKPM
Results in Physics, 2020 In this paper, the method of radial basis function (RBF) is employed to construct the approximating function of the reproducing kernel particle method (RKPM), which can reduce the adverse effect of different kernel functions on computational accuracy and
Jichao Ma +3 more
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A comparison of meshless and finite element approaches to ductile damage in forming processes [PDF]
Computer Methods in Materials Science, 2007 In this work the ability and versatility of a meshless method, namely the Reproducing Kernel Particle Method, is assessed in the modelling of ductile damage in forming processes. The performance is compared with a traditional finite element approach.
Jose M. A. Cesar De Sa, Cai Zheng
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Forces in Mechanics, 2021 We present a novel formulation based on an immersed coupling of Isogeometric Analysis (IGA) and Peridynamics (PD) for the simulation of fluid-structure interaction (FSI) phenomena for air blast.
Masoud Behzadinasab +4 more
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Enrichment of the Finite Element Method With the Reproducing Kernel Particle Method [PDF]
Journal of Applied Mechanics, 1997 The reproducing kernel particle method (RKPM) has attractive properties in handling high gradients, concentrated forces, and large deformations where other widely implemented methodologies fail. In the present work, a multiple field computational procedure is devised to enrich the finite element method with RKPM, and RKPM with analytical functions. The
Chen, Y., Liu, W.K., Uras, R.A.
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Simulating Hydrodynamics in Cosmology with CRK-HACC
The Astrophysical Journal Supplement Series, 2023 We introduce CRK-HACC, an extension of the Hardware/Hybrid Accelerated Cosmology Code (HACC), to resolve gas hydrodynamics in large-scale structure formation simulations of the universe.
Nicholas Frontiere +6 more
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