Total-variation-diminishing time discretizations
SIAM Journal on Scientific and Statistical Computing
A second-order projection method for the incompressible Navier-Stokes equations in arbitrary domains
Journal of Computational Physics
A Cartesian grid embedded boundary method for Poisson's equation on irregular domains
Journal of Computational Physics
An adaptive version of the immersed boundary method
Journal of Computational Physics
Computation of solid-liquid phase fronts in the sharp interface limit on fixed grids
Journal of Computational Physics
Analysis of stiffness in the immersed boundary method and implications for time-stepping schemes
Journal of Computational Physics
An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries
Journal of Computational Physics
An immersed boundary method with formal second-order accuracy and reduced numerical viscosity
Journal of Computational Physics
A sharp interface Cartesian Ggid method for simulating flows with complex moving boundaries: 345
Journal of Computational Physics
An immersed-boundary finite-volume method for simulations of flow in complex geometries
Journal of Computational Physics
A ghost-cell immersed boundary method for flow in complex geometry
Journal of Computational Physics
Journal of Computational Physics
An adaptive local deconvolution method for implicit LES
Journal of Computational Physics
A conservative interface method for compressible flows
Journal of Computational Physics
Derivation and validation of a novel implicit second-order accurate immersed boundary method
Journal of Computational Physics
Journal of Computational Physics
An accurate moving boundary formulation in cut-cell methods
Journal of Computational Physics
An Euler-Lagrange strategy for simulating particle-laden flows
Journal of Computational Physics
Unified semi-analytical wall boundary conditions applied to 2-D incompressible SPH
Journal of Computational Physics
Hi-index | 31.47 |
We propose a conservative, second-order accurate immersed interface method for representing incompressible fluid flows over complex three dimensional solid obstacles on a staggered Cartesian grid. The method is based on a finite-volume discretization of the incompressible Navier-Stokes equations which is modified locally in cells that are cut by the interface in such a way that accuracy and conservativity are maintained. A level-set technique is used for description and tracking of the interface geometry, so that an extension of the method to moving boundaries and flexible walls is straightforward. Numerical stability is ensured for small cells by a conservative mixing procedure. Discrete conservation and sharp representation of the fluid-solid interface render the method particularly suitable for Large-Eddy Simulations of high-Reynolds number flows. Accuracy, second-order grid convergence and robustness of the method is demonstrated for several test cases: inclined channel flow at Re=20, flow over a square cylinder at Re=100, flow over a circular cylinder at Re=40, Re=100 and Re=3900, as well as turbulent channel flow with periodic constrictions at Re=10,595.