Insights on using the boundary integral SPH formulations to calculate Laplacians with Dirichlet boundaries

Particle methods and lattice-gas methods (76M28) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Cites Work

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Unified semi-analytical wall boundary conditions applied to 2-D incompressible SPH
Smoothed particle hydrodynamics and magnetohydrodynamics
Error estimation in smoothed particle hydrodynamics and a new scheme for second derivatives
Smoothed particle hydrodynamics (SPH): an overview and recent developments
Kernel estimates as a basis for general particle methods in hydrodynamics
An SPH projection method
Modeling low Reynolds number incompressible flows using SPH
Constructing smoothing functions in smoothed particle hydrodynamics with applications.
Remeshed smoothed particle hydrodynamics for the simulation of viscous and heat conducting flows.
A variational formulation based contact algorithm for rigid boundaries in two-dimensional SPH applications
A new open boundary formulation for incompressible SPH
Unified semi-analytical wall boundary conditions in SPH: analytical extension to 3-D
Restoring particle consistency in smoothed particle hydrodynamics
Dynamic refinement and boundary contact forces in SPH with applications in fluid flow problems
An implicit corrected SPH formulation for thermal diffusion with linear free surface boundary conditions
Smoothed Particle Hydrodynamics
A Boundary Integral SPH Formulation: Consistency and Applications to ISPH and WCSPH
Unified semi‐analytical wall boundary conditions for inviscid, laminar or turbulent flows in the meshless SPH method
Theory and Applications of Smoothed Particle Hydrodynamics
Fast and accurate SPH modelling of 3D complex wall boundaries in viscous and non viscous flows