Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Computer Methods in Applied Mechanics and Engineering
Journal of Computational Physics
A multigrid tutorial: second edition
A multigrid tutorial: second edition
An immersed-boundary finite-volume method for simulations of flow in complex geometries
Journal of Computational Physics
A fictitious domain method for particulate flows with heat transfer
Journal of Computational Physics
Simulation of flexible filaments in a uniform flow by the immersed boundary method
Journal of Computational Physics
A direct-forcing fictitious domain method for particulate 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
SPH simulations of swimming linked bodies
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
Journal of Computational Physics
A Fictitious Domain, parallel numerical method for rigid particulate flows
Journal of Computational Physics
Journal of Computational Physics
Sources of spurious force oscillations from an immersed boundary method for moving-body problems
Journal of Computational Physics
Journal of Computational Physics
An improved penalty immersed boundary method for fluid-flexible body interaction
Journal of Computational Physics
Journal of Computational Physics
An improved immersed boundary method with direct forcing for the simulation of particle laden flows
Journal of Computational Physics
A simple and efficient direct forcing immersed boundary framework for fluid-structure interactions
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
A fictitious domain approach for the simulation of dense suspensions
Journal of Computational Physics
Hi-index | 31.55 |
For the simulation of flow around an arbitrarily moving body, an immersed boundary method is developed in a non-inertial reference frame that is fixed to the body. The Navier-Stokes equation is formulated in a conservative form such that the force terms due to the rotation and the translational and rotational accelerations are included in the nonlinear term. In order to satisfy the no-slip condition on the body surface, momentum forcing and mass source/sink are applied on the body surface or inside the body. The numerical method is based on a finite volume approach on a staggered mesh together with a fractional-step method. The present numerical method is applied to both the forced motion and fluid-structure interaction problems. In the latter, we solve fully coupled Navier-Stokes and dynamic equations for the moving body without introducing any iteration. Four different flow problems are tested and the results are in excellent agreements with previous numerical and experimental ones.