COMSOL 6.2 - References for the Single-Phase Flow, Laminar Flow Interfaces

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1. G.G. Stokes, Trans. Camb. Phil. Soc., vol. 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,” Comput. Methods Appl. Mech. Eng., 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,” Comput. Methods Appl. Mech. Eng., vol. 58, pp. 305–328, 1986.

9. G. Hauke and T.J.R. Hughes, “A Unified Approach to Compressible and Incompressible Flows,” Comput. Methods Appl. Mech. Eng., vol. 113, pp. 389–395, 1994.

10. G. Hauke, “Simple Stabilizing Matrices for the Computation of Compressible Flows in Primitive Variables”, Comput. Methods Appl. Mech. Eng., 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,” Comput. Methods Appl. Mech. Eng., 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,” Comput. Methods Appl. Mech. Eng., 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. Comput. Appl. Math., vol. 206, pp. 843–872, 2007.

17. R.P. Chhabra and J.F. Richardson, Non-Newtonian Flow and Applied Rheology, 2nd ed., Elsevier, 2008.