Citation

BibTex format

@article{Nicolaou:2015:10.1016/j.compfluid.2015.06.030,
author = {Nicolaou, L and Jung, SY and Zaki, TA},
doi = {10.1016/j.compfluid.2015.06.030},
journal = {Computers and Fluids},
pages = {101--114},
title = {A robust direct-forcing immersed boundary method with enhanced stability for moving body problems in curvilinear coordinates},
url = {http://dx.doi.org/10.1016/j.compfluid.2015.06.030},
volume = {119},
year = {2015}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - A robust immersed boundary method for semi-implicit discretizations of the Navier-Stokes equations on curvilinear grids is presented. No-slip conditions are enforced via momentum forcing, and mass conservation at the immersed boundary is satisfied via a mass source term developed for moving bodies. The errors associated with an explicit evaluation of the momentum forcing are analysed, and their influence on the stability of the underlying Navier-Stokes solver is examined. An iterative approach to compute the forcing term implicitly is proposed, which reduces the errors at the boundary and retains the stability guarantees of the original semi-implicit discretization of the Navier-Stokes equations. The implementation in generalized curvilinear coordinates and the treatment of moving boundaries are presented, followed by a number of test cases. The tests include stationary and moving boundaries and curvilinear grid problems (decaying vortex problem, stationary cylinder, flow in 90° bend in circular duct and oscillating cylinder in fluid at rest).
AU - Nicolaou,L
AU - Jung,SY
AU - Zaki,TA
DO - 10.1016/j.compfluid.2015.06.030
EP - 114
PY - 2015///
SN - 0045-7930
SP - 101
TI - A robust direct-forcing immersed boundary method with enhanced stability for moving body problems in curvilinear coordinates
T2 - Computers and Fluids
UR - http://dx.doi.org/10.1016/j.compfluid.2015.06.030
UR - http://hdl.handle.net/10044/1/24887
VL - 119
ER -