Polish Academy of Sciences,
Institute of Oceanology in Sopot
Hydrodynamics Department

1. Information concerning Laboratory of Numerical Fluid Mechanics

   The laboratory exists since February, 1st, 1998.

   
   

   Staff

   1. M. E. Klonowska-Prosnak, prof. dr hab.; klonowsk@iopan.gda.pl
   2. W. J. Prosnak, prof. (full), dr, Member of the Polish Ac. of Sci.; prosnak@iopan.gda.pl
   3. P. P. Cześnik, M.Sc. (Phys.), assistant; czesiek@iopan.gda.pl
   
   

   Main direction of research: Methods for solution of fluid flow problems in domains bounded by irregular surfaces, such as occur in natural bodies of water.

   
   

   Other directions of research

   • Investigation of plane creeping flows about given contours - by the use of conformal mapping, and spectral methods.
   • Design and/or improvement of algorithms and computer programs for conformal mapping of simply and multiply connected domains, basing on the idea of the "standard" mapping function.
   • Design of exact solutions.
     
   
   

   Selected results

   • effective algorithms and computer programs for generation of conformal computational grids - collected in the monographs [Ref. 1, 2]
   • effective algorithms, and computer programs for spectral and pseudospectral methods designed for determination of viscous flows in plane domains as well as for solution of related problems in elasticity and thermodynamics - collected in the monograph [Ref. 2]
   • investigation of plane, creeping flows generated by sources, vortices, and doublets around any given contour; discovery of occurence of stream, uniform at infinity [Ref. 3, 4, 5]
   • investigation of creeping flow, generated about any given contour by movement of a straight line along itself [Ref. 6, 7, 10]
   • effective conformal mapping of the Vistula Lagoon onto a canonical domain, represented by a system of five interconnected circles [Ref. 8]
   • effective conformal mapping of the Gulf of Gdansk onto a canonical domain represented by a system of two interconnected circles [Ref. 9]
   • computation of plane, viscous, incompressible flows around arbitrary contours, by means of a new method, basing on elimination of pressure [Ref. 11, 12].
     
   
   

2. References

   1. Prosnak W. J. and Klonowska M. E.: Introduction to numerical fluid mechanics, Part B - conformal mapping. (in Polish), 998 pp., Ossolineum, Wrocław, (1996)
   2. Klonowska-Prosnak M. E.: Spectral methods in numerical hydrodynamics. (in Polish), University Press of Gdansk and Institute of Oceanology in Sopot (to be published)
   3. Klonowska M. E., Prosnak W. J.: On a method of computing the Stokes flow in plane multiply connected domains.. Bull. Ac. Pol., Tech., 34, 505-518, (1986)
   4. Klonowska M. E.: Some examples of the plane Stokes flow around an arbitrary contour.. Bull. Ac. Pol., Tech., 36, 159-176, (1988)
   5. Klonowska-Prosnak M. E., Cześnik P. P.: Remarks on plane, steady, creeping flows generated by singularities. Bull. Ac. Pol., Tech., 50, 45-69, (2002)
   6. Klonowska M. E.: On creeping flow over a cylinder rotating in presence of translating plane boundary. Acta Mechanica 142, 149-168, (2000)
   7. Klonowska-Prosnak M. E., Prosnak W. J.: An exact solution to the problem of creeping flow around circular cylinder rotating in presence of translating plane boundary. Acta Mechanica 146, 115-126, (2001)
   8. Prosnak W. J., Cześnik P. P.: Transformation of the Vistula Lagoon onto a canonical domain. Oceanologia, 43 (2),169-200, (2001), Abstract
   9. Cześnik P. P., Prosnak W. J.: Conformal mapping of the Gulf of Gdańsk onto a canonical domain. Oceanologia, 44 (2),179-207, (2002), Abstract
   10. Klonowska-Prosnak M. E., Prosnak W. J., Cześnik P. P.: On plane steady, creeping flow generated around an arbitrary cylinder by a translating flat plate. Bull. Ac. Pol.: Tech., (to be published in 2003)
   11. Klonowska-Prosnak M. E., Kołodziejczyk M.: Tests on a new method for numerical solution to the Navier-Stokes equations. Part I: plane, unsteady flow in finite rectangular domains. Applied Mechanics and Engineering, 4 (2), 311-339 (1999)
   12. Klonowska-Prosnak M. E., Kołodziejczyk M.: Tests on a new method for numerical solution to the Navier-Stokes equations. Part II: plane, unsteady flow around curvilinear contours. Applied Mechanics and Engineering, 7 (2), 619-652 (2002)
   
   

3. Internal Reports

   Internal Reports of the Laboratory of Numerical Fluid Mechanics contain:

   • first drafts of papers;
   • algorithms;
   • listings of computer programs, user's guides and results of exemplary computations;
   • complete derivations, which are as a rule not included in published papers.

   The aim of the Reports consists in storing auxiliary results, which - when destroyed - usually turn out soon as necessary, and - very often - have to be reproduced, at least partially. It concerns first of all auxiliary computer programs.

   The list of Reports prepared so far is included, and it can be reached here.