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A convected particle Gauss-quadrature interpolation for the cell crossing error reduction
Convected particle domain interpolation (CPDI) is a developed extension technique of the material point method (MPM), which can effectively reduce...
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Various MPM Formulations
A general framework for the MPM has been presented in Chap. 2 in which the shape functions have not yet been specified. In this section, various...
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Simulation of viscoelastic free-surface flows with the Particle Finite Element Method
Viscoelastic fluids are central in numerous applications from polymer manufacturing to the pharmaceutical industry and biological research. However,...
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Static Analysis of Curved Shell Structures by Using a Meshfree Method
Shell structure is very popular in vehicle body design and building construction. Curved shell structures are shaped to transmit external forces by...
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Simulations of single and double shock experiments using generalized interpolation material point method with a noise control strategy
This paper presents an elaborated discussion on numerically handling single and double shock problems via the implementation of a meshless method,...
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A convected-particle tetrahedron interpolation technique in the material-point method for the mesoscale modeling of ceramics
Convected particle domain interpolation, which is known to boost the accuracy of the material-point method, is applied in a form called...
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Large deformation and brittle failure calculated using the dual-domain material point method
The dual domain material point (DDMP) method is explored as a candidate to be implemented in a general purpose code to perform simulations of...
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Modeling of ultrasonic vibration-assisted micromachining using the particle finite element method
When metals and alloys are exposed to ultrasonic vibrations (UV), a softening behavior occurs, caused by the phenomenon of acousto-plasticity. To...
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An enhanced semi-explicit particle finite element method for incompressible flows
In this paper an enhanced version of the semi-explicit Particle Finite Element Method for incompressible flow problems is presented. This goal is...
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Analysis and application of the modified smoothed particle hydrodynamics method to simulate cavitating flow
A modified numerical algorithm is proposed to simulate cavitating flow in a convergent–divergent nozzle based on the Smoothed Particle Hydrodynamics...
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The P-DNS Method for Turbulent Fluid Flows: An Overview
An overview of the Pseudo-Direct Numerical Simulation (P-DNS) method is presented. This is a multi-scale method aiming at numerically solving the...
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An Efficient Particle Subdomain Quadrature Scheme for the Material Point Method
The material point method (MPM) has been proved to be an effective numerical method for large deformation problems. However, the MPM suffers from the...
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Lagrange multiplier imposition of non-conforming essential boundary conditions in implicit material point method
The Material Point Method (MPM) is an established and powerful numerical method particularly useful for simulating large-scale, rapid soil...
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An Overview of Coupled Lagrangian–Eulerian Methods for Ocean Engineering
Combining the strengths of Lagrangian and Eulerian descriptions, the coupled Lagrangian–Eulerian methods play an increasingly important role in...
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An implicit material point method using a cell-based integration scheme for large deformation static problems
A novel implicit material point method (MPM) using a cell-based integration scheme is proposed to solve large deformation static problems. An...
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Beyond Taylor’s hypothesis: a novel volumetric reconstruction of velocity and density fields for variable‑density and shear flows
AbstractThis work presents a novel numerical procedure for reconstructing volumetric density and velocity fields from planar laser-induced...
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Quantitative 3D simulation analysis of debris flow impact effect based on SPH
The debris flow is a multiphase mixture. The traditional numerical model based on Bingham and Herschel–Bulkley–Papanastasiou (HBP) constitutive...
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A variationally consistent reproducing kernel enhanced material point method and its applications to incompressible materials
The material point method (MPM) suffers from poor accuracy and suboptimal convergence rates compared to other numerical methods due to the...
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Numerical Simulation of In-Flight Icing by a Multi-step Level-Set Method
Simulation of long-term in-flight ice accretion requires accounting for the feedback of the growing ice on the aerodynamics and particles’...
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A corrected WCSPH scheme with improved interface treatments for the viscous/viscoelastic two-phase flows
In this work, a robust corrected weakly compressible smoothed particle hydrodynamics scheme combined with several improved interface treatments...
