Modeling a no-slip flow boundary with an external force field
Journal of Computational Physics
SIAM Journal on Numerical Analysis
A multiscale finite element method for elliptic problems in composite materials and porous media
Journal of Computational Physics
Combined immmersed-boundary finite-difference methods for three-dimensional complex flow simulations
Journal of Computational Physics
Multi-scale finite-volume method for elliptic problems in subsurface flow simulation
Journal of Computational Physics
Journal of Computational Physics
Multiscale finite-volume method for compressible multiphase flow in porous media
Journal of Computational Physics
Journal of Computational Physics
Derivation and validation of a novel implicit second-order accurate immersed boundary method
Journal of Computational Physics
Iterative multiscale finite-volume method
Journal of Computational Physics
Journal of Computational Physics
Adaptive iterative multiscale finite volume method
Journal of Computational Physics
A hierarchical fracture model for the iterative multiscale finite volume method
Journal of Computational Physics
Recent developments in the multi-scale-finite-volume procedure
LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing
An adaptive multiscale method for density-driven instabilities
Journal of Computational Physics
Hybrid Multiscale Finite Volume method for two-phase flow in porous media
Journal of Computational Physics
Hi-index | 31.47 |
The iterative-multi-scale-finite-volume (IMSFV) procedure is applied as an efficient solver for the pressure Poisson equation arising in numerical methods for the simulation of incompressible flows with the immersed-interface method (IIM). Motivated by the requirements of the specific IIM implementation, a modified version of the IMSFV algorithm is presented to allow the solution of problems, in which the varying coefficient of the elliptic equation (e.g. the permeability of the medium in the context of the simulation of flows in porous media) varies over several orders of magnitude or even becomes zero within the integration domain. Furthermore, a strategy is proposed to incorporate the iterative procedure needed by the IIM to converge out constraints at immersed boundaries into the iterative IMSFV cycle. No significant deterioration of performance of the IMSFV method is observed with respect to cases, in which no iterative improvement of the boundary conditions is considered.