A second-order accurate pressure correction scheme for viscous incompressible flow
SIAM Journal on Scientific and Statistical Computing
Three-dimensional adaptive mesh refinement for hyperbolic conservation laws
SIAM Journal on Scientific Computing
Journal of Computational Physics
An adaptive version of the immersed boundary method
Journal of Computational Physics
Combined immmersed-boundary finite-difference methods for three-dimensional complex flow simulations
Journal of Computational Physics
Divergence-free adaptive mesh refinement for Magnetohydrodynamics
Journal of Computational Physics
Approximate Projection Methods: Part I. Inviscid Analysis
SIAM Journal on Scientific Computing
A Cartesian grid method with transient anisotropic adaptation
Journal of Computational Physics
UNSTRUCTURED MESH GENERATION AND ADAPTIVITY
UNSTRUCTURED MESH GENERATION AND ADAPTIVITY
An immersed boundary method with direct forcing for the simulation of particulate flows
Journal of Computational Physics
Journal of Computational Physics
An adaptive, formally second order accurate version of the immersed boundary method
Journal of Computational Physics
An immersed boundary method for complex incompressible flows
Journal of Computational Physics
Journal of Computational Physics
An unsplit staggered mesh scheme for multidimensional magnetohydrodynamics
Journal of Computational Physics
Short Note: A moving-least-squares reconstruction for embedded-boundary formulations
Journal of Computational Physics
Local adaptive mesh refinement for shock hydrodynamics
Journal of Computational Physics
Optimization of multigrid based elliptic solver for large scale simulations in the FLASH code
Concurrency and Computation: Practice & Experience
An adaptive discretization of incompressible flow using a multitude of moving Cartesian grids
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.46 |
In the present work we developed a structured adaptive mesh refinement (S-AMR) strategy for fluid-structure interaction problems in laminar and turbulent incompressible flows. The computational grid consists of a number of nested grid blocks at different refinement levels. The coarsest grid blocks always cover the entire computational domain, and local refinement is achieved by the bisection of selected blocks in every coordinate direction. The grid topology and data-structure is managed using the Paramesh toolkit. The filtered Navier-Stokes equations for incompressible flow are advanced in time using an explicit second-order projection scheme, where all spatial derivatives are approximated using second-order central differences on a staggered grid. For transitional and turbulent flow regimes the large-eddy simulation (LES) approach is used, where special attention is paid on the discontinuities introduced by the local refinement. For all the fluid-structure interaction problems reported in this study the complete set of equations governing the dynamics of the flow and the structure are simultaneously advanced in time using a predictor-corrector strategy. An embedded-boundary method is utilized to enforce the boundary conditions on a complex moving body which is not aligned with the grid lines. Several examples of increasing complexity are given to demonstrate the robustness and accuracy of the proposed formulation.