Computer algorithms: introduction to design and analysis
Computer algorithms: introduction to design and analysis
Graphs: theory and algorithms
A generic solution to polygon clipping
Communications of the ACM
Simulating free surface flows with SPH
Journal of Computational Physics
SIAM Journal on Numerical Analysis
Velocity boundary conditions for the simulation of free surface fluid flow
Journal of Computational Physics
Local simulation of two-phase flows including interface tracking with mass transfer
Journal of Computational Physics
A projection method for locally refined grids
Journal of Computational Physics
Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension
SIAM Journal on Scientific Computing
Journal of Computational Physics
Graph theory and its applications
Graph theory and its applications
SIAM Journal on Scientific Computing
A boundary condition capturing method for Poisson's equation on irregular domains
Journal of Computational Physics
An adaptive mesh algorithm for evolving surfaces: simulation of drop breakup and coalescence
Journal of Computational Physics
Accurate projection methods for the incompressible Navier—Stokes equations
Journal of Computational Physics
Practical animation of liquids
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
The immersed interface method for the Navier-Stokes equations with singular forces
Journal of Computational Physics
Journal of Computational Physics
The constrained interpolation profile method for multiphase analysis
Journal of Computational Physics
Computational Geometry in C
Animation and rendering of complex water surfaces
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Data Structures and Algorithms
Data Structures and Algorithms
A hybrid particle level set method for improved interface capturing
Journal of Computational Physics
A moving unstructured staggered mesh method for the simulation of incompressible free-surface flows
Journal of Computational Physics
Lattice Boltzmann model for free-surface flow and its application to filling process in casting
Journal of Computational Physics
Numerical simulation of interfacial flows by smoothed particle hydrodynamics
Journal of Computational Physics
Journal of Computational Physics
A lattice Boltzmann method for incompressible two-phase flows with large density differences
Journal of Computational Physics
A hybrid particle-mesh method for viscous, incompressible, multiphase flows
Journal of Computational Physics
A vortex particle method for smoke, water and explosions
ACM SIGGRAPH 2005 Papers
Adaptive tetrahedral meshing in free-surface flow
Journal of Computational Physics
SIAM Journal on Scientific Computing
A second-order boundary-fitted projection method for free-surface flow computations
Journal of Computational Physics
A natural element updated Lagrangian strategy for free-surface fluid dynamics
Journal of Computational Physics
A modular particle-continuum numerical method for hypersonic non-equilibrium gas flows
Journal of Computational Physics
An improved SPH method: Towards higher order convergence
Journal of Computational Physics
A continuum-atomistic simulation of heat transfer in micro- and nano-flows
Journal of Computational Physics
Free-surface flows under impacting droplets
Journal of Computational Physics
A numerical study of three-dimensional liquid sloshing in tanks
Journal of Computational Physics
A new interface tracking method: The polygonal area mapping method
Journal of Computational Physics
Journal of Computational Physics
Two-Way Coupled SPH and Particle Level Set Fluid Simulation
IEEE Transactions on Visualization and Computer Graphics
Journal of Computational Physics
Hi-index | 31.45 |
Three major issues associated with numerical simulations of complex free-surface flows, viz. interface tracking, fragmentation and large physical jumps, are addressed by a new hybrid continuum-particle model (HyPAM). The new model consists of three parts: (1) the Polygonal Area Mapping method [Q. Zhang, P.L.-F. Liu, A new interface tracking method: the polygonal area mapping method, J. Comput. Phys. 227(8) (2008) 4063-4088]; (2) a new algorithm that decomposes the interested (water) phase into a continuum zone, a buffer zone and a particle zone, based on material topology and graph theory; (3) a 'passive-response' assumption, in which the air phase is assumed to respond passively to the continuum part of the water phase. The incompressible inviscid Euler equations and the equations describing the free fall of rigid bodies are used as the governing equations for the continuum-buffer zone and the particle zone, respectively, and separately. A number of examples, including water droplet impact, solitary wave propagation, and dam-break problems, are simulated for the illustration and validation of HyPAM. It is shown that HyPAM is more accurate and versatile than a continuum-based Volume-of-Fluid model. One major contribution of this work is the single-phase decomposition algorithm, useful for many other hybrid formulations. Neglecting surface tension, viscosity and particle interactions, HyPAM is currently limited to mildly-fragmented free-surface flows with high Reynolds and Weber numbers.