1.1 Articles in Refereed Journals and Books

1.1.1 pending/unpublished

1. Van Dommelen, L. (1996) Note on inviscid singularities and turbulence. Submitted to the Journal of Fluid Mechanics. (Proposes a possible mechanics for turbulence in the inertial range. I do not like the paper and I am no longer working on it.)

2. Van Dommelen, L. L. & Shankar S. (1996) Aerodynamic forces are not affected by initial separation. Submitted to the Physics of Fluids. (Discovery of a new expression for aerodynamic forces and its application to initial separation. Needs to be resubmitted to a journal whose referees still see the value of theoretical work. Some day when I have nothing to do.) Zipped postscript (67k).

3. Van Dommelen, L (2001) Boundary layer recirculation. Patent pre-application. Withdrawn.

4. Van Dommelen, L. (2003) Physical Interpretation of the Virial Stress. Submitted to the Proc. Roy. Soc. Londen A. Click here. (This was the first paper to expose a crackpot theory on virial stress developed at Georgia tech. It was probably not a good idea to sent it to the same journal that published the crackpot theory. The same incompetent referees may have been assigned; furthermore, the editor got personal. In any case, I am no longer trying to enter the molecular dynamics field, and the same conclusions have by now been published by others. See for example Subramaniyan, A.K., and Sun, C.T., (2008) ``Continuum interpretation of virial stress in molecular simulation, International Journal of Solids and Structures, 45, 4340-4346. There may also be a paper by M. Ravi & P. Sharma. I was also told there is a reference to my paper on Wikipedia.)

5. Van Dommelen, L. (2008) Manipulation of separation by three-dimensional wall transpiration. Rejected by Journal of Fluid Mechanics. (Demonstrates that transverse blowing can prevent separation, but only if it is on short spanwise scales. Nothing wrong with the paper except maybe a bit too informal and expansive writing style. Rewritten, and now includes computations that show the removal of separation directly. Rejected again by JFM. Accepted by the European Jounrnal of Mechanics, see published.

1.1.2 published

1. Van Dommelen, L. L. & Shen, S. F. (1980) The spontaneous generation of the singularity in a separating laminar boundary layer. Journal of Computational Physics 38 125-140. (A numerical study to show that unsteady boundary layer equations develop singular behaviour in finite time).

2. Van Dommelen, L. L. & Shen, S. F. (1982) The genesis of separation. In Symposium on Numerical and Physical Aspects of Aerodynamic Flows, (T. Cebeci, Ed.) 293-311. Springer-Verlag. (The physical structure of the singularity). (Invited)

3. Van Dommelen, L. L. & Shen, S. F. (1983) Boundary layer separation singularities for an upstream moving wall. Acta Mechanica 49 241-254. (A mixed analytical/numerical study arguing that separation processes are viscous when in upstream motion along the wall).

4. Van Dommelen, L. L. & Shen, S. F. (1983) An unsteady interactive separation process, AIAA Journal 21 358-362. (A study proposing an alternative structure for interactive separation based on numerical and analytical arguments).

5. Van Dommelen, L. L. & Shen, S. F. (1984) Interactive separation from a fixed wall. In Second Symposium On Numerical and Physical Aspects of Aerodynamic Flows (T. Cebeci, Ed. 393-402. Springer-Verlag. (Proposes a new computational procedure for the computation of steady separation processes using least squares).

6. Van Dommelen, L. L. & Shen, S. F. (1985) The flow at a rear stagnation point is eventually determined by exponentially small values of the velocity. Journal of Fluid Mechanics 157 1-16. (An analytical study and numerical validation correcting previous theory about an `exact' solution of the Navier-Stokes equations).

7. Van Dommelen, L. L. (1986) Computation of unsteady separation using Lagrangian procedures. In Symposium on Boundary Layer Separation, International Union of Theoretical and Applied Mechanics, Aug. 26-28, 1986, London, England, 73-87. Springer-Verlag. (Review of, and new computations with, Lagrangian procedures). (Invited)

8. Van Dommelen, L. L. & Rundensteiner, E. A. (1989) Fast solution of the two-dimensional Poisson equation with point-wise forcing. Journal of Computational Physics 83 126-147. (A numerical procedure to solve the Poisson equation quickly on supercomputers).

9. Van Dommelen, L. L. & Cowley, S. J. (1990) On the Lagrangian description of unsteady boundary layer separation. Part 1. General theory. Journal of Fluid Mechanics 210 593-626. (A study proposing a generalized theory to predict unsteady three-dimensional separation).

10. Van Dommelen, L. L. (1990) On the Lagrangian description of unsteady boundary layer separation. Part 2. The spinning sphere. Journal of Fluid Mechanics 210 627-645. (A numerical study veryfing and extending part 1).

11. Cowley, S. J., Van Dommelen, L. L. & S. T. Lam (1990) On the use of Lagrangian variables in unsteady boundary-layer separation. Phil. Trans. R. Soc. Lond. A 333 343-378. (Reviews earlier work, defines a new simplified model to study pressure interactions in unsteady flow, and numerically studies the question how weak separations behave). (Invited)

12. Van Dommelen, L. L. (1991) Lagrangian Description of Unsteady Separation. Lectures in Applied Mathematics 28 701-718. (Reviews how the concept of separation developed, and attempts to explain the modern definition in non-mathematical terms). (Invited)

13. Shih, C., Lourenco, L., Van Dommelen, L. & Krothapalli, A. (1992) Unsteady flow past an airfoil pitching at a constant rate. AIAA Journal 30 1153-1161. (A combined experimental, numerical, and theoretical study of unsteady stall of wings).

14. Van Dommelen, L. L. & Wang, S.-C. (1994) Determining Unsteady 2D and 3D Boundary Layer Separation. Symposium on Aerodynamics and Aeroacoustics (K. Y. Fung, Ed.) 187-206. World Scientific Publishing. (Proposes practical criteria to diagnose unsteady separation).

15. Van Dommelen, L. L. & Shankar, S. (1995) Two Counter-Rotating Diffusing Vortices. Physics of Fluids 7 808-819. (Uncovers counter-intuitive limiting behaviors in decaying flows).

16. Whitley, N., Van Dommelen, L. & Krothapalli, A. (1996) A determinate model of thrust augmenting ejectors. Theoretical and Computational Fluid Dynamics 8 37-55. (The effects of forward velocity on thrust augmenting ejectors using one-dimensional compressible flow analysis).

17. Shankar, S. & Van Dommelen, L. L., (1996) A New Diffusion Procedure for Vortex Methods. Journal of Computational Physics 127 88-109. (Proposes a new, grid-free method to represent diffusion processes).

18. Shankar, S. & Van Dommelen, L. (1996) A new diffusion scheme in vortex methods for three-dimensional incompressible flows. 2nd International Workshop on Vortex Flows and Related Numerical Methods, Montreal, Canada, August 20-24, 1995.

19. Atik, H., Kim, C.-Y., Van Dommelen, L., & Walker, J.D.A. (2005) Boundary-layer separation control on a thin airfoil using local suction. Journal of Fluid Mechanics 535 415-443. pdf (2 MB) © Cambridge University Press.

20. Atik, H., & Van Dommelen, L., (2008) Autogenous suction to prevent boundary layer separation. J. Fluids Engineering 130 011201-1 to 8. pdf (0.6 MB) © ASME.

21. Van Dommelen, L. (2011) A Boosted P' Method for Fully Parabolized Flows. Numerical Heat Transfer, Part B: Fundamentals 59 245-258 pdf (0.15 MB) © Taylor & Francis.

22. Yapalparvi, R & Van Dommelen, L. (2012) Numerical Solution of Unsteady Boundary-Layer Separation in Supersonic Flow: Upstream moving wall, Journal of Fluid Mechanics 706 413-430. pdf (1 MB) © Cambridge University Press.

23. Van Dommelen, L.L. & Yapalparvi, R (2014) Laminar boundary-layer separation control by Görtler-scale blowing, European Journal of Mechanics B. Fluids. 46C 1-16. pdf (2 MB) © EJM-B.