https://hal.archives-ouvertes.fr/hal-01513346/document

Isogeometric analysis : CAD, finite elements, NURBS, exact geometry and mesh refinement

https://users.monash.edu.au/~dprice/ndspmhd/price-spmhd.pdf

Smoothed particle hydrodynamics and magnetohydrodynamics

A generalized wall boundary condition for smoothed particle hydrodynamics

Two-dimensional SPH simulations of wedge water entries

This paper assesses some recent trends in the novel numerical meshless method smoothed particle hydrodynamics, with particular focus on its potential use in modelling free-surface flows. Due to its Lagrangian nature, smoothed particle hydrodynamics (SPH) appears to be effective in solving diverse fluid-dynamic problems with highly nonlinear deformation such as wave breaking and impact, multi-phase mixing processes, jet impact, sloshing, flooding and tsunami inundation, and fluid–structure interactions. The paper considers the key areas of rapid progress and development, including the numerical formulations, SPH operators, remedies to problems within the classical formulations, novel methodologies to improve the stability and robustness of the method, boundary conditions, multi-fluid approaches, particle adaptivity, and hardware acceleration. The key ongoing challenges in SPH that must be addressed by academic research and industrial users are identified and discussed. Finally, a roadmap is propose...

Smoothed particle hydrodynamics (SPH) for free-surface flows: past, present and future

Smooth particle Hydrodynamics (SPH) is one of the most effective meshless techniques used in computational mechanics. SPH approximations are simple and allow greater flexibility in various engineering applications. However, modelling of particle-boundary interactions in SPH computations has always been considered an aspect that requires further research. A number of techniques have been developed to model particle-boundary interactions in SPH and allied methods. In this paper, an innovative approach is introduced to handle the contact between Lagrangian SPH particles and rigid solid boundaries. The formulation of boundary contact forces are derived based on a variational formulation, thus directly ensuring the conservativeness of the governing equations. In addition, the new elegant boundary contact force terms maintain the simplicity of the SPH governing equations.

A variational formulation based contact algorithm for rigid boundaries in two-dimensional SPH applications

Variational formulation for the smooth particle hydrodynamics (SPH) simulation of fluid and solid problems

Mould filling simulation in high pressure die casting has been an attractive area of research for many years. Several numerical methodologies have been attempted in the past to study the flow behaviour of the molten metal into the die cavities. However, many of these methods require a stationary mesh or grid which limits their ability in simulating highly dynamic and transient flows encountered in high pressure die casting processes. In recent years, the advent of meshfree methods have expanded the capabilities of numerical techniques. Hence, these methods have emerged as an attractive alternative for modelling mould filling simulation in pressure die casting processes. In the present work, a Lagrangian particle method called corrected smooth particle hydrodynamics (CSPH) is used to simulate fluid flow in the high pressure die casting cavity. This paper mainly focuses on deriving the fundamental governing equations based on a variational formulation and presents a number of mould filling examples to demonstrate the capabilities of the CSPH numerical model.

High pressure die casting simulation using a Lagrangian particle method

Simulation of mould filling in high pressure die casting has been an attractive area of research for
many years. Several numerical methodologies have been adopted in the past to study the flow
behaviour of the molten metal inside the die cavities. However, many of these methods require
stationary mesh or grid which limits their ability in simulating highly dynamic and transient flows
encountered in high pressure die casting processes. In recent years, the advent of meshfree methods
have led to the opening of new avenues in numerical computational field. Consequently, particle based
methods have emerged as an attractive alternative for modeling mould filling simulation in pressure
die casting processes. In this paper the Corrected Smooth Particle Hydrodynamics (CSPH) method is
used to simulate fluid flow in the high pressure die casting cavity. CSPH is a Lagrangian method based
on Smooth Particle Hydrodynamics (SPH) techniques. In CSPH method, the quantities determining
the flow are localised on set of particles, which move with the flow. This enables the method to easily
follow complex free surfaces, including fragmentation. This paper mainly deals with the formulation
of governing equation required CSPH simulation of high pressure die casting process and presents a
number of numerical results to demonstrate the capabilities of the numerical model.

Mould filling simulation in high pressure die castingby meshless method

This paper explains the numerical techniques required to model mould filling in high pressure die casting. Meshless methods can follow the behaviour of complex fluid flows making it an ideal numerical procedure for simulating the behaviour of molten metal inside the die cavities. In recent years, the advent of meshfree methods has led to the opening of new avenues in numerical computational techniques to follow the physical behaviour of fluid flow. As a result, particle based methods have emerged as a viable alternative for modelling in high pressure die casting. This paper discusses the numerical techniques used for the Corrected Smooth Particle Hydrodynamics (CSPH) method used to simulate molten metal flow in high pressure die casting cavity. CSPH is a Lagrangian based method implying the physical measurements of the flow are localised on a set of particles, which are free to move. This allows the simulation of complex free surfaces, including fragmentation. Finally, some numerical examples are given to demonstrate the validity of the method in high pressure die casting.

M. Profit

Papers

A variational formulation based contact algorithm for rigid boundaries in two-dimensional SPH applications

Variational formulation for the smooth particle hydrodynamics (SPH) simulation of fluid and solid problems

High pressure die casting simulation using a Lagrangian particle method

Mould filling simulation in high pressure die castingby meshless method

Modelling of high pressure die casting using the CSPH method