Front tracking applied to Rayleigh Taylor instability
SIAM Journal on Scientific and Statistical Computing
A second-order accurate pressure correction scheme for viscous incompressible flow
SIAM Journal on Scientific and Statistical Computing
Unsteady solution of incompressible Navier-Stokes equations
Journal of Computational Physics
Time-dependent boundary conditions for hyperbolic systems, II
Journal of Computational Physics
The discrete continuity equation in primitive variable solutions of incompressible flow
Journal of Computational Physics
A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
Modeling a no-slip flow boundary with an external force field
Journal of Computational Physics
SIAM Journal on Numerical Analysis
Pressure-based residual smoothing operators for multistage pseudocompressibility algorithms
Journal of Computational Physics
Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension
SIAM Journal on Scientific Computing
A Cartesian Grid Projection Method for the Incompressible Euler Equations in Complex Geometries
SIAM Journal on Scientific Computing
Multiphase dynamics in arbitrary geometries on fixed Cartesian grids
Journal of Computational Physics
The Journal of Supercomputing - Special issue on supercomputing in medicine
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
A numerical study of undulatory swimming
Journal of Computational Physics
An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries
Journal of Computational Physics
Combined immmersed-boundary finite-difference methods for three-dimensional complex flow simulations
Journal of Computational Physics
The blob projection method for immersed boundary problems
Journal of Computational Physics
The immersed interface method for the Navier-Stokes equations with singular forces
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
Journal of Computational Physics
Ellipticity, accuracy, and convergence of the discrete Navier-Stokes equations
Journal of Computational Physics
A second-order method for three-dimensional particle simulation
Journal of Computational Physics
Moving overlapping grids with adaptive mesh refinement for high-speed reactive and non-reactive flow
Journal of Computational Physics
Numerical simulation of the fluid dynamics of 2D rigid body motion with the vortex particle method
Journal of Computational Physics
Comparison of various fluid-structure interaction methods for deformable bodies
Computers and Structures
An immersed boundary method for complex incompressible flows
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
Journal of Computational Physics
International Journal of Computational Fluid Dynamics
Integrated modeling of insect flight: From morphology, kinematics to aerodynamics
Journal of Computational Physics
The fixed-mesh ALE approach for the numerical approximation of flows in moving domains
Journal of Computational Physics
A new mathematical formulation and fast algorithm for fully resolved simulation of self-propulsion
Journal of Computational Physics
DNS of buoyancy-dominated turbulent flows on a bluff body using the immersed boundary method
Journal of Computational Physics
Prediction of wall-pressure fluctuation in turbulent flows with an immersed boundary method
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
On the use of immersed boundary methods for shock/obstacle interactions
Journal of Computational Physics
An improved penalty immersed boundary method for fluid-flexible body interaction
Journal of Computational Physics
Simulations of single and multiple swimmers with non-divergence free deforming geometries
Journal of Computational Physics
A boundary condition capturing immersed interface method for 3D rigid objects in a flow
Journal of Computational Physics
Journal of Computational Physics
IDeC(k): A new velocity reconstruction algorithm on arbitrarily polygonal staggered meshes
Journal of Computational Physics
MICCAI'11 Proceedings of the 14th international conference on Medical image computing and computer-assisted intervention - Volume Part I
An improved immersed boundary method with direct forcing for the simulation of particle laden flows
Journal of Computational Physics
An accurate moving boundary formulation in cut-cell methods
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.61 |
A numerical method is developed for solving the 3D, unsteady, incompressible Navier-Stokes equations in Cartesian domains containing immersed boundaries of arbitrary geometrical complexity moving with prescribed kinematics. The governing equations are discretized on a hybrid staggered/non-staggered grid layout using second-order accurate finite-difference formulas. The discrete equations are integrated in time via a second-order accurate dual-time-stepping, artificial compressibility iteration scheme. Unstructured, triangular meshes are employed to discretize complex immersed boundaries. The nodes of the surface mesh constitute a set of Lagrangian control points used to track the motion of the flexible body. At every instant in time, the influence of the body on the flow is accounted for by applying boundary conditions at Cartesian grid nodes located in the exterior but in the immediate vicinity of the body by reconstructing the solution along the local normal to the body surface. Grid convergence tests are carried out for the flow induced by an oscillating sphere in a cubic cavity, which show that the method is second-order accurate. The method is validated by applying it to calculate flow in a Cartesian domain containing a rigid sphere rotating at constant angular velocity as well as flow induced by a flapping wing. The ability of the method to simulate flows in domains with arbitrarily complex moving bodies is demonstrated by applying to simulate flow past an undulating fish-like body and flow past an anatomically realistic planktonic copepod performing an escape-like maneuver. euver.