References for the Single-Phase Flow, Laminar Flow Interfaces
1. G.G. Stokes, Trans. Camb. Phil. Soc., 8, pp. 287–305, 1845
2. P.M. Gresho and R.L. Sani, Incompressible Flow and the Finite Element Method, Volume 2: Isothermal Laminar Flow, John Wiley & Sons, 2000.
3. G.K. Batchelor, An Introduction To Fluid Dynamics, Cambridge University Press, 1967.
4. R.L. Panton, Incompressible Flow, 2nd ed., John Wiley & Sons, 1996.
5. I. Harari and T.J.R. Hughes, “What are C and h? Inequalities for the Analysis and Design of Finite Element Methods”, Comp. Meth. Appl. Mech. Engrg, vol. 97, pp. 157–192, 1992.
6. Y. Bazilevs, V.M. Calo, T.E. Tezduyar, and T.J.R. Hughes, “YZβ Discontinuity Capturing for Advection-dominated Processes with Application to Arterial Drug Delivery”, Int.J.Num. Meth. Fluids, vol. 54, pp. 593–608, 2007.
7. R.B. Bird,W.E. Stewart, and E.N. Lightfoot, Transport Phenomena, 2nd ed., John Wiley&Sons, 2007.
8. T.J.R. Hughes and M. Mallet, “A New Finite Element Formulation for Computational Fluid Dynamics: III. The Generalized Streamline Operator for Multidimensional Advective-Diffusive System”, Comp. Meth. Appl. Mech. Engrg, vol. 58, pp. 305–328, 1986.
9. G. Hauke and T.J.R. Hughes, “A Unified Approach to Compressible and Incompressible Flows”, Comp. Meth. Appl. Mech. Engrg, vol. 113, pp. 389–395, 1994.
10. G. Hauke, “Simple Stabilizing Matrices for the Computation of Compressible Flows in Primitive Variables”, Comp. Meth. Appl. Mech. Engrg, vol. 190, pp. 6881–6893, 2001.
11. M.-C. Hsu, Y. Bazilevs, V.M. Cali, T.E. Tezduyar, and T.J.R. Hughes, “Improving stability of stabilized and multiscale formulations in flow simulations at small time steps”, Comp. Meth. Appl. Mech. Engrg, vol. 199, pp. 828–840, 2010.
12. D.J. Tritton, Physical Fluid Dynamics, 2nd ed., Oxford University Press, 1988.
13. J.M. Coulson and J.F. Richardson, “Particle Technology and Separation Processes”, Chemical Engineering, Volume 2, Butterworth-Heinemann, 2002.
14. J.L. Guermond, P. Minev, and J. Shen, “An overview of projection methods for incompressible flows”, Comp. Meth. Appl. Mech. Engrg, vol. 195, pp. 6011–6045, 2006.
15. B. Rivière, Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations, SIAM, 2008.
16. Y. Epshteyn and B. Rivière, “Estimation of penalty parameters for symmetric interior penalty Galerkin methods”, J. Computational and Applied Mathematics, vol. 206, pp. 843–872, 2007.
17. R.P. Chhabra and J.F. Richardson, Non-Newtonian Flow and Applied Rheology, 2nd ed., Elsevier, 2008.
18. Y. Bazilevs and T.J.R. Hughes, “Weak imposition of Dirichlet boundary conditions in fluid mechanics”, Computers and Fluids, vol. 36, pp. 12–26, 2007.