A fourth-order kernel for improving numerical accuracy and stability in eulerian SPH for fluids and total Lagrangian SPH for solids

Basic methods in fluid mechanics (76Mxx) Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx)

Cites Work

Unnamed Item
A vertex centred finite volume Jameson-Schmidt-Turkel (JST) algorithm for a mixed conservation formulation in solid dynamics
A locally stabilized immersed boundary method for the compressible Navier-Stokes equations
An immersed interface method for viscous incompressible flows involving rigid and flexible boundaries
Smoothed particle hydrodynamics (SPH): an overview and recent developments
A differentially interpolated direct forcing immersed boundary method for predicting incompressible Navier-Stokes equations in time-varying complex geometries
The numerical simulation of two-dimensional fluid flow with strong shocks
High strain Lagrangian hydrodynamics. A three-dimensional SPH code for dynamic material response
Simulating free surface flows with SPH
Restoration of the contact surface in the HLL-Riemann solver
Smoothed particle hydrodynamics stability analysis
Moving least-square reproducing kernel methods. I: Methodology and convergence
Smoothed particle hydrodynamics: Some recent improvements and applications
Preconditioned multigrid methods for unsteady incompressible flows
A new kernel function for SPH with applications to free surface flows
An algorithm to improve consistency in smoothed particle hydrodynamics
High-order Eulerian incompressible smoothed particle hydrodynamics with transition to Lagrangian free-surface motion
A weakly compressible SPH method based on a low-dissipation Riemann solver
Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
SPH without a tensile stability
A smoothed particle hydrodynamics-phase field method with radial basis functions and moving least squares for meshfree simulation of dendritic solidification
A generic smoothed wall boundary in multi-resolution particle method for fluid-structure interaction problem
An artificial damping method for total Lagrangian SPH method with application in biomechanics
A 3D SPH-based entirely Lagrangian meshfree hydroelastic FSI solver for anisotropic composite structures
An SPH-based fully-Lagrangian meshfree implicit FSI solver with high-order discretization terms
High-order consistent SPH with the pressure projection method in 2-D and 3-D
A weakly compressible SPH method with WENO reconstruction
An integrative smoothed particle hydrodynamics method for modeling cardiac function
An L2-norm regularized incremental-stencil WENO scheme for compressible flows
An Eulerian-Lagrangian incompressible SPH formulation (ELI-SPH) connected with a sharp interface
Towards consistence and convergence of conservative SPH approximations
A generalized transport-velocity formulation for smoothed particle hydrodynamics
Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity
Mechanism of the production of small eddies from large one.
Investigations on a high order SPH scheme using WENO reconstruction
An essentially non-hourglass formulation for total Lagrangian smoothed particle hydrodynamics
Truncation error in mesh-free particle methods
Enhancing SPH using moving least-squares and radial basis functions
Smoothed particle hydrodynamics: theory and application to non-spherical stars
Moving-least-squares-particle hydrodynamics?I. Consistency and stability
ON PARTICLE WEIGHTED METHODS AND SMOOTH PARTICLE HYDRODYNAMICS
Moving least-squares particle hydrodynamics II: conservation and boundaries
SPH elastic dynamics
SPHinXsys: an open-source multi-physics and multi-resolution library based on smoothed particle hydrodynamics
An efficient correction method in Riemann SPH for the simulation of general free surface flows
A study on stable regularized moving least-squares interpolation and coupled with SPH method

This page was built for publication: A fourth-order kernel for improving numerical accuracy and stability in eulerian SPH for fluids and total Lagrangian SPH for solids