Uniformly high order accurate essentially non-oscillatory schemes, 111
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
A variational level set approach to multiphase motion
Journal of Computational Physics
The fast construction of extension velocities in level set methods
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
Journal of Computational Physics
A computational model for suspended large rigid bodies in 3D unsteady viscous flows
Journal of Computational Physics
The constrained interpolation profile method for multiphase analysis
Journal of Computational Physics
Rapid and accurate computation of the distance function using grids
Journal of Computational Physics
Numerical approximations of singular source terms in differential equations
Journal of Computational Physics
Proteus: a direct forcing method in the simulations of particulate flows
Journal of Computational Physics
Discretization of Dirac delta functions in level set methods
Journal of Computational Physics
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We propose a numerical method for handling interaction among multiple particles, fluid and structure of arbitrary shape. The method is based on the level set method, the DEM (discrete element method), the CIP (Cubic Interpolated Propagation) method and the ghost fluid method. In this formulation, interfaces of particles, liquid and structures are represented by the level set functions. Those level set functions are also used to impose fluid boundary condition on structure and particle, and to detect collisions between particle and structure. Numerical results show that this proposed method can robustly simulate those interactions.