Meshfree methods for computational fluid dynamics
EPJ Web of Conferences, 2013 The paper deals with the convergence problem of the SPH (Smoothed Particle Hydrodynamics) meshfree method for the solution of fluid dynamics tasks. In the introductory part, fundamental aspects of mesh- free methods, their definition, computational ...
Jícha M., Čermák L., Niedoba P.
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Geometrically-exact time-integration mesh-free schemes for advection-diffusion problems derived from optimal transportation theory and their connection with particle methods [PDF]
, 2017 We develop an Optimal Transportation Meshfree (OTM) particle method for advection-diffusion in which the concentration or density of the diffusive species is approximated by Dirac measures.
Arroyo +24 more
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Shock and Vibration, 2019 The partition-of-unity method based on FE-Meshfree QUAD4 element synthesizes the respective advantages of meshfree and finite element methods by exploiting composite shape functions to obtain high-order global approximations.
Hongjun Zhang +3 more
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A node-based smoothed conforming point interpolation method (NS-CPIM) for elasticity problems [PDF]
, 2011 This paper formulates a node-based smoothed conforming point interpolation method (NS-CPIM) for solid mechanics. In the proposed NS-CPIM, the higher order conforming PIM shape functions (CPIM) have been constructed to produce a continuous and piecewise ...
Liu G. R. +7 more
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An improved meshless method for finite deformation problem in compressible hyperelastic media
Vietnam Journal of Mechanics, 2021 Hyperelastic materials are considered as special category of elastic solid materials because of their nonlinear complicated constitutive laws. Due to large strain state, the behaviour of such materials is often considered in finite deformation analysis.
Nha Thanh Nguyen +3 more
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Point cloud movement for fully Lagrangian meshfree methods [PDF]
Journal of Computational and Applied Mathematics, 2017 In Lagrangian meshfree methods, the underlying spatial discretization, referred to as a point cloud or a particle cloud, moves with the flow velocity.
Pratik Suchde, J. Kuhnert
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On the infinite particle limit in Lagrangian dynamics and convergence of optimal transportation meshfree methods [PDF]
, 2013 We consider Lagrangian systems in the limit of infinitely many particles. It is shown that the corresponding discrete action functionals Gamma-converge to a continuum action functional acting on probability measures of particle trajectories.
Schmidt, Bernd
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Vibration and Buckling Analysis of Skew Sandwich Plate using Radial Basis Collocation Method [PDF]
Mechanics of Advanced Composite Structures, 2023 This paper presents the free vibration and buckling responses of a skew sandwich plate using higher-order shear deformation theory (HSDT). The governing differential equations (GDEs) for the skew sandwich plate are obtained using Hamilton's principle ...
Jigyasa Singh, Ram Prasad
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Phase-field modeling and simulation of fracture in brittle materials with strongly anisotropic surface energy [PDF]
, 2015 Crack propagation in brittle materials with anisotropic surface energy is important in applications involving single crystals, extruded polymers, or geological and organic materials. Furthermore, when this anisotropy is strong, the phenomenology of crack
Arias Vicente, Irene +4 more
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GIZMO: A New Class of Accurate, Mesh-Free Hydrodynamic Simulation Methods [PDF]
, 2015 We present two new Lagrangian methods for hydrodynamics, in a systematic comparison with moving-mesh, SPH, and stationary (non-moving) grid methods. The new methods are designed to simultaneously capture advantages of both smoothed-particle hydrodynamics
Hopkins, Philip F.
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