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An angular momentum conserving affine-particle-in-cell method

https://doi.org/10.1016/j.jcp.2017.02.050
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/1097-0207(20001210)49:10<1295::aid-nme993>3.0.co;2-wopenalex-snapshot
Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems
inferredcites →https://doi.org/10.1002/1097-0207(20001210)49:10<1295::aid-nme993>3.3.co;2-nopenalex-snapshot
Variational integrators and the Newmark algorithm for conservative and dissipative mechanical systems
inferredcites →https://doi.org/10.1002/nme.2360openalex-snapshot
Analysis and reduction of quadrature errors in the material point method (MPM)
inferredcites →https://doi.org/10.1002/nme.3110openalex-snapshot
A convected particle domain interpolation technique to extend applicability of the material point method for problems involving massive deformations
inferredcites →https://doi.org/10.1002/nme.958openalex-snapshot
Variational time integrators
inferredcites →https://doi.org/10.1006/jcph.2000.6625openalex-snapshot
The Constrained Interpolation Profile Method for Multiphase Analysis
inferredcites →https://doi.org/10.1007/bf00913408openalex-snapshot
The discrete energy-momentum method. Conserving algorithms for nonlinear elastodynamics
inferredcites →https://doi.org/10.1007/s40571-016-0134-3openalex-snapshot
Improving accuracy in the MPM method using a null space filter
inferredcites →https://doi.org/10.1016/0010-4655(87)90063-4openalex-snapshot
On modelling angular momentum and vorticity in compressible fluid flow
inferredcites →https://doi.org/10.1016/0010-4655(88)90020-3openalex-snapshot
Flip: A low-dissipation, particle-in-cell method for fluid flow
inferredcites →https://doi.org/10.1016/0010-4655(94)00170-7openalex-snapshot
Application of a particle-in-cell method to solid mechanics
inferredcites →https://doi.org/10.1016/0021-9991(70)90024-0openalex-snapshot
Effects of the spatial grid in simulation plasmas
inferredcites →https://doi.org/10.1016/0021-9991(72)90048-4openalex-snapshot
Nonphysical noises and instabilities in plasma simulation due to a spatial grid
inferredcites →https://doi.org/10.1016/0021-9991(86)90211-1openalex-snapshot
FLIP: A method for adaptively zoned, particle-in-cell calculations of fluid flows in two dimensions
inferredcites →https://doi.org/10.1016/0021-9991(88)90123-4openalex-snapshot
The ringing instability in particle-in-cell calculations of low-speed flow
inferredcites →https://doi.org/10.1016/0021-9991(89)90032-6openalex-snapshot
On the problem of penetration in particle methods
inferredcites →https://doi.org/10.1016/0021-9991(92)90323-qopenalex-snapshot
Mass matrix formulation of the FLIP particle-in-cell method
inferredcites →https://doi.org/10.1016/0045-7825(92)90115-zopenalex-snapshot
Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
inferredcites →https://doi.org/10.1016/0045-7825(94)00033-6openalex-snapshot
A particle method for history-dependent materials
inferredcites →https://doi.org/10.1016/0045-7825(94)90112-0openalex-snapshot
A particle method for history-dependent materials
inferredcites →https://doi.org/10.1016/j.cma.2005.06.027openalex-snapshot
An unconditionally stable, energy–momentum consistent implementation of the material-point method
inferredcites →https://doi.org/10.1016/j.cma.2017.01.035openalex-snapshot
A new method for material point method particle updates that reduces noise and enhances stability
inferredcites →https://doi.org/10.1016/j.engfracmech.2015.07.014openalex-snapshot
Numerical simulation of orthogonal cutting using the material point method
inferredcites →https://doi.org/10.1016/j.finel.2016.11.007openalex-snapshot
On a family of convected particle domain interpolations in the material point method
inferredcites →https://doi.org/10.1016/s0045-7825(00)00189-4openalex-snapshot
Exact energy and momentum conserving algorithms for general models in nonlinear elasticity
inferredcites →https://doi.org/10.1016/s0045-7825(01)00257-2openalex-snapshot
A new solution procedure for application of energy-conserving algorithms to general constitutive models in nonlinear elastodynamics
inferredcites →https://doi.org/10.1090/psapm/015/9942openalex-snapshot
The particle-in-cell method for numerical solution of problems in fluid dynamics
inferredcites →https://doi.org/10.1109/tvcg.2015.2459687openalex-snapshot
Optimization Integrator for Large Time Steps
inferredcites →https://doi.org/10.1145/1278780.1278807openalex-snapshot
Fast Poisson disk sampling in arbitrary dimensions
inferredcites →https://doi.org/10.1145/2766996openalex-snapshot
The affine particle-in-cell method
inferredcites →https://doi.org/10.1515/9783110916706openalex-snapshot
Numerical "Particle-in-Cell" Methods
inferredcites →https://doi.org/10.2172/4769185openalex-snapshot
The particle-in-cell method for numerical solution of problems in fluid dynamics
inferredcites →https://doi.org/10.3970/cmes.2004.005.477openalex-snapshot
The Generalized Interpolation Material Point Method
inferredcites →https://doi.org/10.3970/cmes.2007.019.223openalex-snapshot
Improved Velocity Projection for the Material Point Method
inferredcites →https://doi.org/10.5555/2422356.2422361openalex-snapshot
Energetically consistent invertible elasticity

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Large Deformation and Brittle Failure Calculated Using the Dual-Domain Material Point Method
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An implicit material point method using a cell-based integration scheme for large deformation static problems
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Portable, massively parallel implementation of a material point method for compressible flows
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Meshfree Methods
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Microstructural controls on the plastic consolidation of porous brittle solids
inferred← citeshttps://doi.org/10.1016/j.apm.2026.117298openalex-snapshot
Parametric level-set dynamic topology optimization for reusable periodic motion of pneumatic soft robots
inferred← citeshttps://doi.org/10.1016/j.camwa.2025.06.030openalex-snapshot
Error analysis of the moving least square material point method for large deformation problems
inferred← citeshttps://doi.org/10.1016/j.cma.2019.01.028openalex-snapshot
Conservative, high-order particle–mesh scheme with applications to advection-dominated flows
inferred← citeshttps://doi.org/10.1016/j.cma.2019.112742openalex-snapshot
Stabilized material point methods for coupled large deformation and fluid flow in porous materials
inferred← citeshttps://doi.org/10.1016/j.cma.2020.112859openalex-snapshot
New material point method contact algorithms for improved accuracy, large-deformation problems, and proper null-space filtering
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Taylor particle-in-cell transfer and kernel correction for material point method
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Data-driven Multi-Grid solver for accelerated pressure projection
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A generalized projection algorithm for overcoming volumetric locking in explicit material point method
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An efficient and robust two-phase two-point material point method for fluid-solid interaction problems
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Numerical simulation of grain-scale tensile failure for MICP cemented particles
inferred← citeshttps://doi.org/10.1016/j.compgeo.2026.108483openalex-snapshot
A coupled material point and finite volume method for geomechanics
inferred← citeshttps://doi.org/10.1016/j.compgeo.2026.108577openalex-snapshot
Quasi-implicit finite volume material point method for modeling fluidized mass movements
inferred← citeshttps://doi.org/10.1016/j.enganabound.2026.106792openalex-snapshot
A comparative study of B-spline MPM with different mapping schemes in the simulation of landslide large deformations
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Towards a predictive multi-phase model for alpine mass movements and process cascades
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Fragmentation induced mobility and runout mechanism of large rock avalanche: A case study on the Tibetan Plateau, China
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A unified approach to monolithic solid-fluid coupling of sub-grid and more resolved solids
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Affine particle in cell method for MAC grids and fluid simulation
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Simple and reliable boundary detection for meshfree particle methods using interval analysis
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Conservation and accuracy studies of the LESCM for incompressible fluids
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Second order accurate discretization of the material point method on periodic domains
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Projection-stabilized weakly compressible MPM for nonlinear fluid-structure interaction
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A momentum preserving frictional contact algorithm based on affine particle-in-cell grid transfers
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Matter (v1): an open-source MPM solver for granular matter
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