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Meshless Regular Hybrid Boundary Node Method
Computer Modeling in Engineering & Sciences, 2001 The Meshless Local Boundary Integral Equation (MLBIE) method is a truly meshless one as it does not need a 'finite element or boundary element mesh', either for variable interpolation or for 'energy' integration. The Boundary Node Method (BNM) further reduces the dimensionality of the problem by one, i.e.
Zhang, Jianming, Yao, Zhenhan
openaire +2 more sources
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.
core +3 more sources
Constrained hyperbolic divergence cleaning in smoothed particle magnetohydrodynamics with variable cleaning speeds [PDF]
, 2016 We present an updated constrained hyperbolic/parabolic divergence cleaning algorithm for smoothed particle magnetohydrodynamics (SPMHD) that remains conservative with wave cleaning speeds which vary in space and time. This is accomplished by evolving the
Bate, Matthew R. +2 more
core +2 more sources
On Meshfree GFDM Solvers for the Incompressible Navier-Stokes Equations
, 2017 Meshfree solution schemes for the incompressible Navier--Stokes equations are usually based on algorithms commonly used in finite volume methods, such as projection methods, SIMPLE and PISO algorithms.
Kuhnert, Joerg +2 more
core +1 more source
, 2017 In this work, an accurate regularization technique based on the Meyer wavelet method is developed to solve the ill-posed backward heat conduction problem with time-dependent thermal diffusivity factor in an infinite "strip".
Hajipour, Mojtaba +2 more
core +1 more source
3D Lagrangian VPM: simulations of the near-wake of an actuator disc and horizontal axis wind turbine [PDF]
, 2016 The application of a 3-dimensional Lagrangian vortex particle method has been assessed for modelling the near-wake of an axisymmetrical actuator disc and 3-bladed horizontal axis wind turbine with prescribed circulation from the MEXICO (Model EXperiments
Berdowski, T. +2 more
core +1 more source
Numerical simulation based on FEM/MLS coupling for solid mechanics [PDF]
, 2013 This paper presents the development of Meshless Methods based on the weighted least squares approximation (MLS) [1,3,14] to solve 2D mechanical problems.
Ghozzi, Y., Labergere, C., Villon, P.
core
A local radial basis function collocation method for band structure computation of phononic crystals with scatterers of arbitrary geometry [PDF]
, 2018 A numerical algorithm based on the local radial basis function collocation method (LRBFCM) is developed to efficiently compute the derivatives of primary field quantities.
Tyrer, Mark +3 more
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International Journal for Numerical Methods in Biomedical Engineering, Volume 41, Issue 10, October 2025.This study introduces a multiscale patient‐specific framework that couples mechano‐biological bone remodeling at the macroscale with microscale shape optimization. The framework is validated through literature case studies and demonstrates how remodeling influences vertebral fracture behavior.
Balavignesh Vemparala +9 more
wiley +1 more source
A review of multiscale numerical modeling of rock mechanics and rock engineering
Deep Underground Science and Engineering, Volume 4, Issue 3, Page 382-405, September 2025.Multiscale numerical methods of rock mechanics and rock engineering are reviewed, and the review results show that more attention should be paid to the development of an advanced constitutive model in addition to numerical techniques themselves. Abstract Rock is geometrically and mechanically multiscale in nature, and the traditional phenomenological ...
Xindong Wei, Zhe Li, Gaofeng Zhao
wiley +1 more source