An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries
Journal of Computational Physics
A sharp interface Cartesian Ggid method for simulating flows with complex moving boundaries: 345
Journal of Computational Physics
A second-order method for three-dimensional particle simulation
Journal of Computational Physics
An immersed boundary method with direct forcing for the simulation of particulate flows
Journal of Computational Physics
Immersed boundary method for flow around an arbitrarily moving body
Journal of Computational Physics
Journal of Computational Physics
An immersed boundary method for complex incompressible flows
Journal of Computational Physics
The immersed boundary method: A projection approach
Journal of Computational Physics
Journal of Computational Physics
A new mathematical formulation and fast algorithm for fully resolved simulation of self-propulsion
Journal of Computational Physics
Level-set, penalization and cartesian meshes: A paradigm for inverse problems and optimal design
Journal of Computational Physics
Journal of Computational Physics
A conservative immersed interface method for Large-Eddy Simulation of incompressible flows
Journal of Computational Physics
Sources of spurious force oscillations from an immersed boundary method for moving-body problems
Journal of Computational Physics
SIAM Journal on Numerical Analysis
Journal of Computational Physics
An accurate moving boundary formulation in cut-cell methods
Journal of Computational Physics
An adaptive discretization of incompressible flow using a multitude of moving Cartesian grids
Journal of Computational Physics
Journal of Computational Physics
On numerical modeling of animal swimming and flight
Computational Mechanics
Hi-index | 31.47 |
A method for reducing the spurious pressure oscillations observed when simulating moving boundary flow problems with sharp-interface immersed boundary methods (IBMs) is proposed. By first identifying the primary cause of these oscillations to be the violation of the geometric conservation law near the immersed boundary, we adopt a cut-cell based approach to strictly enforce geometric conservation. In order to limit the complexity associated with the cut-cell method, the cut-cell based discretization is limited only to the pressure Poisson and velocity correction equations in the fractional-step method and the small-cell problem tackled by introducing a virtual cell-merging technique. The method is shown to retain all the desirable properties of the original finite-difference based IBM while at the same time, reducing pressure oscillations for moving boundaries by roughly an order of magnitude.