[1] Chorin, A. J., ”A Numerical Method for Solving Incompressible Viscous Flow Problems”, Journal of Computational Physics, Vol. 2, pp. 12– 26, (1967).
[2] Farmer, J., Martinelli, L., and Jameson, A., "Fast Multigrid Method for Solving Incompressible Hydrodynamic Problems with Free Surface", AIAA Journal, Vol. 32, pp. 1175-1182, (1994).
[3] Rogers, S.E., and Kwak, D., "Steady and Unsteady Solutions of the Incompressible Navier-Stokes Equations", AIAA Jounral, Vol. 29, pp. 603-610, (1991).
[4] Liu, C., Zheng, X., and Sung, C.H., "Preconditioned Multigrid Methods for Unsteady Incompressible Flows", Journal of Computational Physics, Vol. 139, pp. 35-57, (1998).
[5] Kallinderis, Y., and Ahn, H.T., “Incompressible Navier–Stokes Method with General Hybrid Meshes”, Journal of Computational Physics, Vol. 210, pp. 75-108, (2005).
[6] Yuan, L., “Comparison of Implicit Multigrid Schemes for Three-dimensional Incompressible Flows”, Journal of Computational Physics, Vol. 177, pp. 134-155, (2002).
[7] Drikakis, D., Govatsos, P.A., and Papantonis, D.E., "A Characteristic Based Method for Incompressible Flows", International Journal for Numerical Methods in Fluids, Vol. 19, pp. 667-685, (1994).
[8] Drikakis, D., "A Parallel Multiblock Characteristic Based Method for Three-dimensional Incompressible Flows", Advances in Enginering Software, Vol. 26, pp.111-119, (1996).
[9] Drikakis, D., Iliev, O.P., and Vassileva, D.P., "A Nonlinear Multigrid Method for the Three-dimensional Incompressible Navier–Stokes Equations", Journal of Computational Physics, Vol. 146, pp. 301-321, (1998).
[10] Zhao, Y., and Zhang, B., “A High-order Characteristics Upwind FV Method for Incompressible Flow and Heat Transfer Simulation on Unstructured Grids”, Computer Methods in Applied Mechanics and Engineering, Vol. 190, pp. 733-756, (2000).
[11] Tai, C. H., and Zhao, Y., “Parallel Unsteady Incompressible Viscous Flow Computations using an Unstructured Multigrid Method”, Journal of Computational Physics, Vol. 192, pp. 277-311, (2003).
[12] Tai, C. H., Zhao, Y., and Liew, K.M., “Parallel Computation of Unsteady Three-dimensional Incompressible Viscous Flow using an Unstructured Multigrid Method”, Computers and Structures, Vol. 82, pp. 2425-2436, (2004).
[13] Tai, C.H., Zhao, Y., and Liew, K.M., “Parallel-multigrid Computation of Unsteady Incompressible Viscous Flows using a Matrix-free Implicit Method and High-resolution Characteristics-based Scheme”, Computer Methods in Applied Mechanics and Engineering, Vol. 194, pp. 3949-3983, (2005).
[14] Tai, C.H., Zhao, Y., and Liew, K.M., “Parallel Computation of Unsteady Incompressible Viscous Flows Around Moving Rigid Bodies using an Immersed Object Method with Overlapping Grids”, Journal of Computational Physics, Vol. 207, pp. 151-172, (2005).
[15] Neofytou, P., and Drikakis, D., "Non-Newtonian Flow Instability in a Channel with a Sudden Expansion", Journal of Non-Newtonian Fluid Mechanics, Vol. 111, pp. 127-150, (2003).
[16] Neofytou, P., Drikakis, D., and Leschziner, M.A., "Study of Newtonian and Non Newtonian Fuid Flow in a Channel with a Moving Indentation", in: Sajjadi, Nash, Rampling (Eds.), Proceedings of the IMA Conference on Cardiovascular Flow Modelling with Application to Clinical Medicine, Salford, UK, 1998, Clarendon Press, Oxford, (1999).
[17] Neofytou, P., “Revision of the Characteristics-based Scheme for Incompressible Flows”, Journal of Computational Physics, Vol. 222, pp. 475-484, (2007).
[18] Mazaheri, K., “Numerical Wave Propagation and Steady-state Solutions”, Ph.D. Thesis, Department of Aerospace Engineering and Scientific Computing, University of Michigan (Ann Arbor), (1992).
[19] Denham, M.K., and Patrik, M.A., “Laminar Flow Over a Downstream-facing Step in a Two-dimensional Flow Channel”, Transactions of the Institution of Chemical Engineers, Vol. 52, pp. 361-367, (1974).
[20] Nithiarasu, P., “An Efficient Artificial Compressibility (AC) Scheme Based on the Characteristic Based Split (CBS) Method for Incompressible Flows”, International Journal for Numerical Methods in Engineering, Vol. 56, pp. 1815-1845, (2003).
[21] Nithiarasu, P., Mathur, J.S., Weatherill, N.P., and Morgan, K., "Three-dimensional Incompressible Flow Calculations using the Characteristic Based Split (CBS) Scheme", International Journal for Numerical Methods in Fluids, Vol. 44, pp. 1207-1229, (2004).
[22] Shapiro, E., and Drikakis, D., “Non-conservative and Conservative Formulations of Characteristics-based Numerical Reconstructions for Incompressible Flows”, International Journal for Numerical Methods in Engineering, Vol. 66, pp. 1466-1482, (2006).
[23] Gartling, D.K., "A Test Problem for Outflow Boundary Condition-flow Over a Backward Facing Step", International Journal for Numerical Methods in Fluids, Vol. 11, 953-967, (1990).
[24] Hashemi, M.Y., and Zamzamian, K., "A Multidimensional Characteristic-based Method for Making Incompressible Flow Calculations on Unstructured Grids", Journal of Computational and Applied Mathematics, Vol. 259, pp. 752-759, (2014).
[25] Zamzamian, K., and Razavi, S.E., "Multidimensional Upwinding for Incompressible Flows Based on Characteristics", Journal of Computational Physics, Vol. 227, pp. 8699-8713, (2008).
[26] Razavi, S.E., Zamzamian, K., and Farzadi, A., "Genuinely Multidimensional Characteristic-based Scheme for Incompressible Flows",
International Journal for Numerical Methods in Fluids, Vol. 57, pp. 929-949, (2008).
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