Implicit application of non-reflective boundary conditions for Navier–Stokes equations in generalized coordinates. Chen, X. & Zha, G. International Journal for Numerical Methods in Fluids, 50(7):767--793, March, 2006.
Implicit application of non-reflective boundary conditions for Navier–Stokes equations in generalized coordinates [link]Paper  doi  abstract   bibtex   
The non-reflective boundary conditions (NRBC) for Navier–Stokes equations originally suggested by Poinsot and Lele (J. Comput. Phys. 1992; 101:104–129) in Cartesian coordinates are extended to generalized coordinates. The characteristic form Navier–Stokes equations in conservative variables are given. In this characteristic-based method, the NRBC is implicitly coupled with the Navier–Stokes flow solver and are solved simultaneously with the flow solver. The calculations are conducted for a subsonic vortex propagating flow and the steady and unsteady transonic inlet-diffuser flows. The results indicate that the present method is accurate and robust, and the NRBC are essential for unsteady flow calculations. Copyright © 2005 John Wiley & Sons, Ltd.
@article{chen_implicit_2006,
	title = {Implicit application of non-reflective boundary conditions for {Navier}–{Stokes} equations in generalized coordinates},
	volume = {50},
	copyright = {Copyright © 2005 John Wiley \& Sons, Ltd.},
	issn = {1097-0363},
	url = {http://onlinelibrary.wiley.com/doi/10.1002/fld.1065/abstract},
	doi = {10.1002/fld.1065},
	abstract = {The non-reflective boundary conditions (NRBC) for Navier–Stokes equations originally suggested by Poinsot and Lele (J. Comput. Phys. 1992; 101:104–129) in Cartesian coordinates are extended to generalized coordinates. The characteristic form Navier–Stokes equations in conservative variables are given. In this characteristic-based method, the NRBC is implicitly coupled with the Navier–Stokes flow solver and are solved simultaneously with the flow solver. The calculations are conducted for a subsonic vortex propagating flow and the steady and unsteady transonic inlet-diffuser flows. The results indicate that the present method is accurate and robust, and the NRBC are essential for unsteady flow calculations. Copyright © 2005 John Wiley \& Sons, Ltd.},
	language = {en},
	number = {7},
	urldate = {2014-10-22TZ},
	journal = {International Journal for Numerical Methods in Fluids},
	author = {Chen, Xiangying and Zha, Ge-Cheng},
	month = mar,
	year = {2006},
	keywords = {Navier–Stokes equations, generalized coordinates, non-reflective boundary conditions},
	pages = {767--793}
}
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