Journal of Computational Physics
The rapid evaluation of volume integrals of potential theory on general regions
Journal of Computational Physics
Laplace's equation and the Dirichlet-Neumann map in multiply connected domains
Journal of Computational Physics
Boundary conditions for viscous vortex methods
Journal of Computational Physics
SIAM Journal on Numerical Analysis
A fast Poisson solver for complex geometries
Journal of Computational Physics
Vorticity boundary condition and related issues for finite difference schemes
Journal of Computational Physics
Discrete compatibility in finite difference methods for viscous incompressible fluid flow
Journal of Computational Physics
Preconditioned multigrid methods for unsteady incompressible flows
Journal of Computational Physics
A Cartesian grid embedded boundary method for Poisson's equation on irregular domains
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
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
Practical aspects of formulation and solution of moving mesh partial differential equations
Journal of Computational Physics
A sharp interface Cartesian Ggid method for simulating flows with complex moving boundaries: 345
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 simulating the interaction of a fluid with moving boundaries
Journal of Computational Physics
Journal of Computational Physics
Numerical simulation of the fluid dynamics of 2D rigid body motion with the vortex particle method
Journal of Computational Physics
An immersed boundary method for complex incompressible flows
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Dynamically coupled fluid-body interactions in vorticity-based numerical simulations
Journal of Computational Physics
Collision of multi-particle and general shape objects in a viscous fluid
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A well-conditioned augmented system for solving Navier-Stokes equations in irregular domains
Journal of Computational Physics
Journal of Scientific Computing
An immersed interface method for Stokes flows with fixed/moving interfaces and rigid boundaries
Journal of Computational Physics
Journal of Computational Physics
A novel mesh regeneration algorithm for 2D FEM simulations of flows with moving boundary
Journal of Computational Physics
A coarse-grid projection method for accelerating incompressible flow computations
Journal of Computational Physics
Computers & Mathematics with Applications
Hi-index | 31.54 |
We present an efficient method for solving 2D incompressible viscous flows around multiple moving objects. Our method employs an underlying regular Cartesian grid to solve the system using a streamfunction-vorticity formulation and with discontinuities representing the embedded objects. The no-penentration condition for the moving geometry is satisfied by superposing a homogenous solution to the Poisson's equation for the streamfunction. The no-slip condition is satisfied by generating vorticity on the surfaces of the objects. Both the initial Poisson solution and the evaluation of the homogenous solution require embedding irregular discontinuities in a fast Poisson solver. Computation time is dictated by the time required to do a fast Poisson solution plus solve an integral form of Laplace's equation. There is no significant increase in computational cost if the geometry of the embedded objects is variable and moving relative to the underlying grid. We test the method against the canonical example of flow past a cylinder, and obtained new results on the flow and forces of two cylinders moving relative to each other.