Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension
SIAM Journal on Scientific Computing
Direct simulations of 2D fluid-particle flows in biperiodic domains
Journal of Computational Physics
Multidimensional binary search trees used for associative searching
Communications of the ACM
Journal of Computational Physics
An immersed boundary method with direct forcing for the simulation of particulate flows
Journal of Computational Physics
Fictitious boundary and moving mesh methods for the numerical simulation of rigid particulate flows
Journal of Computational Physics
An efficient multigrid-FEM method for the simulation of solid-liquid two phase flows
Journal of Computational and Applied Mathematics
A fictitious domain formulation for flows with rigid particles: A non-Lagrange multiplier version
Journal of Computational Physics
Simulation of moving particles in 3D with the Lattice Boltzmann method
Computers & Mathematics with Applications
An improved immersed boundary method with direct forcing for the simulation of particle laden flows
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.45 |
A novel finite element method for the 3d simulation of (many) particles in a Newtonian carrier liquid is presented. The methods features the celebrated one domain approach, a subspace projection method to account for the rigid body motion within the particles and operator splitting. Combined with local mesh refinement the method results in a fast and accurate, though conceptually simple to implement algorithm. Validation is achieved using the sedimentation of one particle and comparing the resulting drag coefficient with theoretical and experimental results. Furthermore, a viscometer is considered, where the effective viscosity of a particle laden fluid is compared with analytic results.