Integral conditions for the pressure in the computation of incompressible viscous flows
Journal of Computational Physics
Journal of Computational Physics
SIAM Journal on Scientific and Statistical Computing
Modeling a no-slip flow boundary with an external force field
Journal of Computational Physics
Dispersion-relation-preserving finite difference schemes for computational acoustics
Journal of Computational Physics
Improved volume conservation in the computation of flows with immersed elastic boundaries
Journal of Computational Physics
Numerical simulation of a cylinder in uniform flow: application of a virtual boundary method
Journal of Computational Physics
An element-by-element BICGSTAB iterative method for three-dimensional steady Navier-Stokes equations
Journal of Computational and Applied Mathematics
A Sequential Regularization Method for Time-Dependent Incompressible Navier--Stokes Equations
SIAM Journal on Numerical Analysis
A Cartesian Grid Projection Method for the Incompressible Euler Equations in Complex Geometries
SIAM Journal on Scientific Computing
Preconditioned multigrid methods for unsteady incompressible flows
Journal of Computational Physics
A three-point combined compact difference scheme
Journal of Computational Physics
A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid 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
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
An edge-based method for the incompressible Navier—Stokes equations on polygonal meshes
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
A second-order-accurate symmetric discretization of the Poisson equation on irregular domains
Journal of Computational Physics
An Immersed Interface Method for Incompressible Navier-Stokes Equations
SIAM Journal on Scientific Computing
A cartesian grid method for modeling multiple moving objects in 2D incompressible viscous flow
Journal of Computational Physics
Journal of Computational Physics
A partial differential equation approach to multidimensional extrapolation
Journal of Computational Physics
A ghost-cell immersed boundary method for flow in complex geometry
Journal of Computational Physics
A numerical method for three-dimensional gas-liquid flow computations
Journal of Computational Physics
Journal of Computational Physics
High Order Accurate Solution of Flow Past a Circular Cylinder
Journal of Scientific Computing
Journal of Computational Physics
Wall-driven incompressible viscous flow in a two-dimensional semi-circular cavity
Journal of Computational Physics
An immersed interface method for simulating the interaction of a fluid with moving boundaries
Journal of Computational Physics
An immersed boundary method for complex incompressible flows
Journal of Computational Physics
A sharp interface immersed boundary method for compressible viscous flows
Journal of Computational Physics
The immersed boundary method: A projection approach
Journal of Computational Physics
Boundary data immersion method for Cartesian-grid simulations of fluid-body interaction problems
Journal of Computational Physics
Journal of Computational Physics
An accurate moving boundary formulation in cut-cell methods
Journal of Computational Physics
Hi-index | 31.46 |
A dispersion-relation-preserving dual-compact scheme developed in Cartesian grids is applied together with the immersed boundary method to solve the flow equations in irregular and time-varying domains. The artificial momentum forcing term applied at certain points in cells containing fluid and solid allows an imposition of velocity condition to account for the motion of solid body. We develop in this study a differential-based interpolation scheme which can be easily extended to three-dimensional simulation. The results simulated from the proposed immersed boundary method agree well with other numerical and experimental results for the chosen benchmark problems. The accuracy and fidelity of the IB flow solver developed to predict flows with irregular boundaries are therefore demonstrated.