Improved treatment of wall boundary conditions for a particle method with consistent spatial discretization

DOI10.1016/j.cma.2019.112624zbMath1441.76093OpenAlexW2973405713WikidataQ127234262 ScholiaQ127234262MaRDI QIDQ1989085

Seiichi Koshizuka, Kazuya Shibata, Axel Södersten, Takuya Matsunaga

Publication date: 24 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2019.112624

zbMATH Keywords

incompressible flowcomputational fluid dynamicsmeshfree particle methodconsistent discretization schemeleast squares MPS methodwall boundary treatment

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Particle methods and lattice-gas methods (76M28) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

Related Items (20)

Border mapping multi-resolution (BMMR) technique for incompressible projection-based particle methods ⋮ Symmetric boundary condition for the MPS method with surface tension model ⋮ Axisymmetric free-surface flow simulation using the moving surface mesh particle method and application to drop formation ⋮ A review on MPS method developments and applications in nuclear engineering ⋮ An improved MPS method for simulating multiphase flows characterized by high-density ratios and violent deformation of interface ⋮ Compact moving particle semi-implicit method for incompressible free-surface flow ⋮ MPS-based axisymmetric particle method for bubble rising with density and pressure discontinuity ⋮ Enhanced Dirichlet boundary condition in MPS method for free-surface flow with negative pressure ⋮ An enhanced moving particle semi-implicit method for simulation of incompressible fluid flow and fluid-structure interaction ⋮ Numerical simulation of Rayleigh-Bénard convection and three-phase Rayleigh-Taylor instability using a modified MPS method ⋮ Improving stability of moving particle semi-implicit method by source terms based on time-scale correction of particle-level impulses ⋮ A coupled 3D isogeometric/least-square MPS approach for modeling fluid-structure interactions ⋮ An incompressible-compressible Lagrangian particle method for bubble flows with a sharp density jump and boiling phase change ⋮ New insights into error accumulation due to biased particle distribution in semi-implicit particle methods ⋮ An enhanced semi-implicit particle method for simulating the flow of droplets with free surfaces ⋮ Stabilized LSMPS method for complex free-surface flow simulation ⋮ Moving surface mesh-incorporated particle method for numerical simulation of a liquid droplet ⋮ A multi-resolution particle method with high order accuracy for solid-liquid phase change represented by sharp moving interface ⋮ A novel ghost cell boundary model for the explicit moving particle simulation method in two dimensions ⋮ On the free surface boundary of moving particle semi-implicit method for thermocapillary flow

Cites Work

• Enhancement of stability and accuracy of the moving particle semi-implicit method
• Step-by-step improvement of MPS method in simulating violent free-surface motions and impact-loads
• Minimal positive stencils in meshfree finite difference methods for the Poisson equation
• Comparative study on accuracy and conservation properties of two particle regularization schemes and proposal of an optimized particle shifting scheme in ISPH context
• Positivity conditions in meshless collocation methods
• Accuracy and stability in incompressible SPH (ISPH) based on the projection method and a new approach
• Generalizing the finite element method: Diffuse approximation and diffuse elements
• Modeling low Reynolds number incompressible flows using SPH
• Numerical simulation of interfacial flows by smoothed particle hydrodynamics
• On the consistency and convergence of particle-based meshfree discretization schemes for the Laplace operator
• An ALE particle method using upwind interpolation
• Multi-resolution MPS method
• An efficient FSI coupling strategy between smoothed particle hydrodynamics and finite element methods
• A projection-based particle method with optimized particle shifting for multiphase flows with large density ratios and discontinuous density fields
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• SPH accuracy improvement through the combination of a quasi-Lagrangian shifting transport velocity and consistent ALE formalisms
• An improved SPH method: Towards higher-order convergence
• A new particle method for simulation of incompressible free surface flow problems
• Improvement of stability in moving particle semi-implicit method
• Element‐free Galerkin methods
• Reproducing kernel particle methods
• On the Finite Element Solution of the Pure Neumann Problem
• An enhanced ISPH-SPH coupled method for simulation of incompressible fluid-elastic structure interactions

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