Send mail to: mgnet@cs.yale.edu for the digests or bakeoff mgnet-requests@cs.yale.edu for comments or help Current editor: Craig Douglas douglas-craig@cs.yale.edu Anonymous ftp repository: casper.cs.yale.edu (128.36.12.1) ftp.cerfacs.fr (138.63.200.33) World Wide Web: http://na.cs.yale.edu/mgnet/www/mgnet.html or http://www.cerfacs.fr/~douglas/mgnet.html Today's editor: Craig Douglas (douglas-craig@cs.yale.edu) Volume 6, Number 4 (approximately April 30, 1996) Today's topics: Final Calls for Conferences CCMM95 proceedings Preprint from Jun Zhang Eglib a BibTeX Entry Some of the new entries in the bibliography Re-Announcement of Advances in Computational Fluid Dynamics Course (Sorry; this was delayed due to a trip with no real Internet access.) ------------------------------------------------------- Date: Tue, 30 Apr 1996 10:11:12 -0500 From: Craig DouglasSubject: Final Calls for Conferences ALGEBRAIC MULTILEVEL ITERATION METHODS WITH APPLICATIONS The University of Nijmegen Nijmegen, The Netherlands June 13-15, 1996 E-mail: amli96@sci.kun.nl Fax: +31 (0)80 652140 http://www-math.sci.kun.nl/math/amli96 Final call. ILAY WORKSHOP ON ITERATIVE METHODS CERFACS International Linear Algebra Year Toulouse, France June 10-13, 1996 E-mail: wlay@cerfacs.fr About a week ago, a US NSF grant was been dedicated to support US participants who intend to attend this workshop. To allow them to register in time the deadline for pre-registration has been postponed until MAY 20th. Up to date information on this workshop (including the abstracts of the talks, registration forms, etc.) can be found through the WWW page: http://www.cerfacs.fr/~wlay/LAY/iter.html ------------------------------------------------------- Date: Thu, 25 Apr 1996 13:12:37 GMT From: Duane Melson Subject: CCMM95 proceedings The Proceedings of the 1995 Copper Mountain Conference on Multigrid Methods (published as a NASA Conference Publication) are going to press. Copies are available at no cost. If you would like a copy or copies, please send e-mail with the following information to: n.d.melson@larc.nasa.gov SUBJECT: CCMM95 proceedings * number of copies you would like * your full name * your full mailing address * your phone number (needed for certian types of shipping) * your e-mail address (so I can keep you informed of progress of printing) ------------------------------------------------------- Date: Fri, 22 Mar 1996 21:24:33 -0500 From: Jun Zhang Subject: Preprint from Jun Zhang Multigrid with Inexact Minimal Residual Smoothing Acceleration Jun Zhang Department of Mathematics The George Washington University Washington, DC 20052 March 5, 1996 Abstract We introduce some inexact versions of the minimal residual smoothing (IMRS) technique to accelerate the standard multigrid convergence. These are modified versions of the minimal residual smoothing (MRS) technique introduced and analyzed in earlier papers. The IMRS acceleration schemes reduce the cost of the standard MRS acceleration by about 40% for two dimensional problems and frequently achieve even faster convergence. Numerical experiments are employed to demonstrate the efficiency of the IMRS acceleration schemes. Some of the numerical results show that IMRS can reduce the numbers of iterations by 88% with respect to the standard multigrid method. (For a hard copy, send an e-mail to: zhang@math.gwu.edu.) Editor's Note: in mgnet/papers/Zhang/inexact.ps.gz and ------------- .../inexact.abs ------------------------------------------------------- Date: Thu, 4 Apr 1996 13:18:44 +0200 From: Alexandre Ern Subject: Eglib We would like to inform you that our new multicomponent transport software is now available. This general-purpose fortran library is designed to evaluate accurate approximations for transport coefficients in gas mixtures at a low computational cost. On the world wide web, you can locate the home page for the library at http://blanche.polytechnique.fr/www.eglib/ The source code, a corresponding makefile, a detailed user's manual, and the user agreement can be recovered from ftp://barbes.polytechnique.fr/pub/Eglib/eglib.tar.gz or directly using anonymous ftp ftp barbes.polytechnique.fr cd pub/Eglib get eglib.tar.gz The file eglib.tar.gz is a gzip'ed tar file. Upon issuing the commands gunzip eglib.tar.gz tar -xf eglib.tar you will obtain a new directory called eglib. Extensive details about the library and the eglib directory can be found in the README file and the user's manual located in this directory. We recommend that you read the user agreement before downloading the library. In particular, you are kindly requested to send us e-mail in the case you decide to download the library. This will allow you to be in the mailing list for future updates concerning the library. We look forward to hearing from you. Dr. Alexandre Ern and Dr. Vincent Giovangigli CERMICS, ENPC CMAP, Ecole Polytechnique 93167 Noisy-le-Grand cedex 91128 Palaiseau cedex France France ern@cmapx.polytechnique.fr giovangi@cmapx.polytechnique.fr ------------------------------------------------------- Date: Wed, 24 Apr 1996 15:47:27 +0200 From: Paul.de.Zeeuw@cwi.nl Subject: a BibTeX Entry @article{PMDeZeeuw_1996a, author = "Paul M. de Zeeuw", title = "Development of semi-coarsening techniques", journal = "Appl. Numer. Math.", volume = "19", year = "1996", pages = "433--465" } Departing from Mulder's semi-coarsening technique for first-order PDEs, the notion of a grid of grids is introduced and a multi-level finite-volume technique for second order elliptic PDEs is developed. Various grid-transfer operators are investigated, in combination with damped Jacobi-relaxation. Convergence rates as they are predicted by Fourier local mode analysis are compared with practical measurements. The wide variety of grids at our disposal leads to the notion of coherent representations of a function on different grids. A sawtooth multi-level algorithm is proposed for the case of multiple semi-coarsening. ------------------------------------------------------- Date: Tue, 30 Apr 1996 10:10:10 -0500 From: Craig Douglas Subject: Some of the new entries in the bibliography Here are some recent new entries. As usual, please send additions and corrections. The next 60+ will appear in May. [1] L. M. Adams and M. E. G. Ong, Additive polynomial pre- conditioners for parallel computers, Parallel Comput., 9 (1989), pp. 333-345. [2] R. Aggarwal, F.-X. Roux, and R. Keunings, Iterative methods for the solution of integral viscoelastic equations on parallel computers, in Parallel Computational Fluid Dy- namics, Elsevier Science Publishers B.V. (North-Holland), Amsterdam, 1995, pp. 411-418. [3] G. Agrawal, A. Sussman, and J. S. Saltz, Efficient run- time support for parallelizing block structured applications, in Proceedings of the Scalable High Performance Comput- ing Conference 1994, Los Alamitos, 1994, IEEE Computer Society Press, pp. 158-167. [4] W. K. Anderson, J. L. Thomas, and D. L. Whitfield, Multigrid acceleration of the flux-split Eueler equations, AIAA J., 26 (1988), pp. 649-654. [5] M. Bloss and R. H. W. Hoppe, Numerical computation of the value function of optimally controlled stochastic switch- ing processes by multi-grid techniques, Numer. Funct. Anal. Optimiz., 10 (1989), pp. 275-304. [6] L. Bomholt and P. Leyland, Implementation of unstruc- tured finite element codes on different parallel computers, in Parallel Computational Fluid Dynamics, Elsevier Sci- ence Publishers B.V. (North-Holland), Amsterdam, 1995, pp. 429-442. [7] N. Bouhamou, Q. V. Dinh, and J. P'eriaux, Basic lin- ear parallel solvers for large CFD applications using de- composed unstructured meshes, in Parallel Computational Fluid Dynamics, Elsevier Science Publishers B.V. (North- Holland), Amsterdam, 1995, pp. 381-388. [8] W. Cai, Z.-C. Shi, C.-W. Shu, and J. Xu, Numerical Meth- ods in Applied Sciences, Science Press New York, Ltd., New York, 1996. [9] D. A. Caughey and R. K. Iyer, Diagonal implicit multigrid calculation of inlet flowfields, AIAA J., 27 (1988), pp. 110- 112. [10] L. Chang, T. F. Vonry, and C. Cusano, An efficient, ro- bust, multi-level computational algorithm for elastohydro- dynamic lubrication, J. Tribol., 111 (1989), pp. 193-199. [11] Q.-S. Chang, Using a predictor-corrector scheme to computer Navier-Stokes equations in three-dimensional sherical co- ordinates, J. Comput. Math., 6 (1988), pp. 307-317. [12] P. Charrier, J. Roman, and P. Vezolle, Implementation of a symmetric boundary element method on distributed memory computers for 3D Maxwell equations, in Parallel Computational Fluid Dynamics, Elsevier Science Publish- ers B.V. (North-Holland), Amsterdam, 1995, pp. 505-512. [13] K. Decker, Gauge-invariant coarse-to-fine transformations for multigrid Monte-Carlo algorithms in pure lattice gauge theories, Phys. Lett. B, 210 (1988), pp. 207-210. [14] ______, Numerical investigation of a coarse-to-fine transforma- tion for multigrid Monte-Carlo updating, Comput. Phys. Comm., 54 (1989), pp. 1-11. [15] J. DeKeyser and D. Roose, Multigrid with solution- adaptive irregular grids on distributed memory coputers, in Parallel Computing '91, Elsevier Science Publishers B. V., Amsterdam, 1992, pp. 375-382. [16] F. Dellagiacoma, M. Vitaletti, A. Jameson, L. Mar- tinelli, S. Sibilla, and L. Visintini, FLO67P: a multi-block version of FLO67 running within PARAGRID, in Parallel Computational Fluid Dynamics, Elsevier Sci- ence Publishers B.V. (North-Holland), Amsterdam, 1995, pp. 199-206. [17] A. Ecer, J. Hauser, P. Leca, and J. P'eriaux, Parallel Computational Fluid Dynamics, Elsevier Science Publish- ers B.V. (North-Holland), Amsterdam, 1995. [18] W. Enkelmann, Investigations of multigrid algorithms for the estimation of optical flow fields in image sequences, Com- put. Graphics Image Proc., 43 (1988), pp. 150-177. [19] R. M. Ferencz, Element-by-Element Preconditioning Tech- niques for Large-Scale, Vectorized Finite Element Analysis in Nonlinear Solid and Structural Mechanics, PhD thesis, Stanford University, Division of Applied Mechanics, Stan- ford, CA, 1989. [20] H. Finnemann, J. Brehm, E. Michel, and J. Volkert, Multigrid solution of diffusion equations on distributed memory multiprocessor systems, Kerntechnik, 52 (1988), pp. 169-174. [21] ______, Solution of the neutron diffusion equation through multigrid methods implemented on a memory-coupled 25- processor system, Parallel Comput., 8 (1988), pp. 391-398. [22] B. Fornberg, A Practical Guide to Pseudospectral Methods, vol. 1 of Cambridge Monographs on Applied and Compu- tational Mathematics, Cambridge University Press, Cam- bridge, 1996. [23] U. Ghia, R. Ramamurti, and K. N. Ghia, Solution of the Neumann pressure problem in general othogonal coor- dinates using the multigrid technique, AIAA J., 26 (1988), pp. 538-547. [24] R. Glowinski, T. W. Pan, and J. P'eriaux, A one shot domain decomposition/ficticious domain method for the solution of elliptic equations, in Parallel Computational Fluid Dynamics, Elsevier Science Publishers B.V. (North- Holland), Amsterdam, 1995, pp. 317-324. [25] D. Golby and M. A. Leschziner, Parallel computations of turbulent transonic flows on a Meiko computing surface, in Parallel Computational Fluid Dynamics, Elsevier Sci- ence Publishers B.V. (North-Holland), Amsterdam, 1995, pp. 143-150. [26] W. D. Gropp, D. E. Keyes, and M. D. Tidriri, Paral- lel implicit solvers for steady, compressible aerodynamics, in Parallel Computational Fluid Dynamics, Elsevier Sci- ence Publishers B.V. (North-Holland), Amsterdam, 1995, pp. 391-399. [27] F. K. Hebeker, On parallel simulation of reactive flows on an IBM RS/6000 workstation-cluster, in Parallel Compu- tational Fluid Dynamics, Elsevier Science Publishers B.V. (North-Holland), Amsterdam, 1995, pp. 73-80. [28] L. Hemmingsson, A domain decomposition method for hyper- bolic problems in 2D, in Parallel Computational Fluid Dy- namics, Elsevier Science Publishers B.V. (North-Holland), Amsterdam, 1995, pp. 373-388. [29] R. Hempel and C. P. Thompson, A note on the vectoriza- tion of algebraic multigrid algorithms, Appl. Math. Com- put., 26 (1988), pp. 245-256. [30] R. Herbin, S. Gerbi, and V. Sonnad, Parallel implemen- tation of a multigrid method on the experimental lCAP su- percomputer, Appl. Math. Comput., 27 (1988), pp. 281-312. [31] R. H. W. Hoppe, On the numerical solution of variational inequalities by multi-grid techniques, in Proceedings of the International Symposium on Numerical Analysis, Ankara, Turkey, 1987, Middle East Technical University, pp. 59-87. [32] Y. F. Hu, R. J. Blake, J. Peiro, J. Peraire, and K. Morgan, Partitioning and scheduling algorithms and their implementation in FELISA - an unstructured grid solver, in Parallel Computational Fluid Dynamics, Else- vier Science Publishers B.V. (North-Holland), Amsterdam, 1995, pp. 225-232. [33] H.-C. Huang and R. W. Lewis, Generalized multigrid ap- proaches to nonlinear transient thermal problems, Comm. Appl. Numer. Meth., 4 (1988), pp. 343-348. [34] R. Hunt, Single-level multigrid, J. Comp. Appl. Math., 23 (1988), pp. 133-139. [35] A. Iserles, A First Course in the Numerical Analysis of Differential Equations, Cambridge University Press, Cam- bridge, 1995. [36] Z. Johan, K. K. Mathur, S. L. Johnsson, and T. J. R. Hughes, Parallel implementation of recursive spetral bi- section on the Connection Machine CM-5 system, in Par- allel Computational Fluid Dynamics, Elsevier Science Pub- lishers B.V. (North-Holland), Amsterdam, 1995, pp. 451- 459. [37] B. W. Jones, K. McManus, M. Cross, M. G. Everett, and S. Johnson, Parallel unstructured mesh CFD codes: a role for recursive clustering techniques in mesh decom- position, in Parallel Computational Fluid Dynamics, Else- vier Science Publishers B.V. (North-Holland), Amsterdam, 1995, pp. 207-214. [38] Gh. Juncu and R. Mihail, Multigrid solution of the diffusion-convection-reaction equations which describe the mass and/or heat transfer from or to a sperical particle, Comput. Chem. Engng., 13 (1989), pp. 259-270. [39] H. K. Koesmarno, Heuristic scheduling algorithm: reducing global convergence detection overhead of multigrid methods on transputer networks, in Proceedings of the Sixth Aus- tralian Transputer OCCAM User Group, Brisbane, 1994, pp. 191-198. [40] C.-S. Koh, K. Choi, S. Hahn, and H. K. Jung, An adap- tive finite element scheme using multi-grid method for mag- netostatic problems, IEEE Trans. Magnetics, 25 (1989), pp. 2959-2961. ------------------------------------------------------- From: Chaoqun Liu Date: Fri, 26 Apr 1996 21:14:20 GMT Subject: Re-Announcement of Advances in Computational Fluid Dynamics Course SHORT COURSE ADVANCES IN COMPUTATIONAL FLUID DYNAMICS Louisiana Tech University, Ruston, Louisiana June 24 - 28, 1996 Louisiana Tech University will host a five-day CFD short course in the summer of 1996. A number of leading researchers will give lectures and have one-on-one discussion with participants on recent advances in CFD. Several advanced teaching and research codes for incompressible flow, direct numerical simulation for flow transition, and numerical combustion with detailed chemistry will be described and distributed to all attendants free of charge. Anyone who has interest in CFD and basic multigrid and CFD knowledge is welcome to attend, including faculty, graduate students, scientific researchers, government agents, and industrial scientists and engineers. The registration fee, discounted for early registration, is $350 (group rate is $250 each and student rate is $150), and it covers all lecture notes, floppy disks with computational codes, a reception, and a formal dinner. The lectures include: Multigrid and multilevel adaptive methods First-order system least squares (FOSLS) Preconditioning for low speed flow Central differences, the R-K scheme, and residual smoothing Boundary conditions for time-dependent flows Upwind differencing - principles and recent developments Advanced turbulence models Fast Navier-Stokes solvers High-order grid generation Direct numerical simulation for complex geometry Non-reflecting outflow boundary conditions Multilevel grid dissipation Numerical simulation for turbulent combustion with detailed chemistry Numerical pollutant prediction The speakers include: Dr. L. Sakell (US Air Force Office of Scientific Research) Dr. A. Brandt (Weizmann Institute, Israel) Dr. E. Turkel (Tel Aviv University, Israel) Dr. P. Roe (University of Michigan) Dr. S. McCormick (University of Colorado at Boulder) Drs. T-H Shih and J. Zhu (ICOMP, NASA Lewis Research Center) Dr. C-H Sung (Navy David Taylor Research Center) Dr. C. Liu ( Louisiana Tech University) Drs. Z. Liu, X. Zheng, and C. Liao ( Louisiana Tech University) FURTHER INFORMATION Dr. Chaoqun Liu, Associate Professor ACFD Short Course Chair Department of Mathematics and Statistics Louisiana Tech University P.O. Box 3189, Ruston, LA 71272-0001 Tel : (318) 257-2257 Fax : (318)257-3935 email : cliu@math.latech.edu http://www.math.latech.edu/~cliu ORGANIZING INSTITUTIONS: Louisiana Tech University SPONSORS The College of Engineering and The School of Science at Louisiana Tech University, and Front Range Scientific Computations, Inc. PROGRAM COMMITTEE Margaret Dunn Richard Greechie Changming Liao Chaoqun Liu (Chair) Zhining Liu Kuppusamy Ravindran Guohua Xiong Xiaoqing Zheng SPECIAL FEATURES Five-day intensive classes Lectures and one-on-one discussions with renowned experts Free advanced code release Free lecture notes Evening user's training class Discount registration fee Special registration rate for groups and students FOCUS Challenges and new developments in computational fluid dynamics LOCATION The conference will be held at the Holiday Inn, I-20 exit 85 on Frontage Road, Ruston, LA 71273-1189, Tel: (318) 255-5901, Fax: (318) 255-3729. REGISTRATION Please mail the attached registration form with the conference fee. For credit card orders, you can send them by email. You will receive a discounted rate if your payment is postmarked before May 24, 1996. Cancellations received before June 10 will be fully refunded. No refund will be issued for cancellations received after June 10. Registrations should be sent to: Margaret Dunn Secretary of ACFD Short Course The Graduate School Louisiana Tech University Ruston, LA 71272 Tel: (318)257-2924 email : blossom@vm.cc.latech.edu TRAVEL AGENT Janie Hunt at Ruston Travel in Ruston will act as our Official Travel Agent. Ruston Travel has a toll free number: 1-800-960-0004 (Fax: 1-318-255-0554). You may contact her for your discount rate for the flight ticket, car rental, and lodging. Since the summer is the high season for tourist, it is highly recommended to contact Janie as early as you can for your travel arrangements. If your spouse is interested in accompanying you to Louisiana for a short vacation while you are attending the course, we will be happy to provide information on one-day or two-day trips. Nearby is Natchitoches, LA, the oldest permanent settlement in the Louisiana Purchase Territory and Natchez, MS, with their antebellum homes; Jefferson, TX, for antiques; the Great River Road, "Cajun Country", and the Big Easy--New Orleans, LA. If you're so inclined, we have gambling boats on the river in Shreveport and other locations. It is truly a beautiful area--rich in history, beautiful gardens, museums, wonderful food, great music, and fun! If you are interested, please contact Janie Hunt at 1-800-960-0004 for reservations and additional information. ACCOMMODATIONS A block of rooms has been reserved for the conference at the Holiday Inn, Ruston. Please call the Holiday Inn at (318) 255-5901 or Janie Hunt at 1-800-960-0004 for your hotel reservation. Please mention the ACFD short course to them for your special group rate ($55 for up to two people). TRANSPORTATION Monroe or Shreveport can be chosen as your flight destination. Monroe is the preferred destination because it is much closer to Ruston. Major airlines, including Delta, American, and Northwest, have service there. Delta Airlines offers a special fare to our participants (Contract No. XR3007). Call Janie Hunt at 1-800-960-0004 for your discount flight ticket. Monroe is about 35 miles east of Ruston and Shreveport is about 64 miles west of Ruston. The shuttle service between Airports and the Holiday Inn will be provided by Louisiana Tech upon your request. Please call Janie Hunt at 1-800-960-0004 or Margaret Dunn at (318) 257-2924 for your shuttle service. You need to tell them your flight number, arrival time, and destination airport. You are encouraged to rent a car at the airport for your transportation. TENTATIVE SCHEDULE All events will be held at the Holiday Inn, Ruston, except where noted. One-on-one discussion with invited speakers: All invited speakers will be available to any participant for one-on-one discussions immediately after presentations and, by appointment, during other speakers presentations. ...................................................................... Sunday, June 23 7:00 - 9:00 p.m. Registration & Reception Monday, June 24 8:00 - 8:10 a.m. Welcome ( D. Greechie) 8:10 - 8:40 a.m. CFD: State of the art & Air Force needs ( L. Sakell) 8:40 - 10:00 a.m. Runge-Kutta schemes and residual smoothing (E. Turkel) 10:00- 10:10 a.m. Break 10:10- 12:00 noon Review of basic multigrid (A. Brandt) Nonlinearity and the full approximation scheme (FAS) (A. Brandt) 1:00 - 2:50 p.m. First-order system least squares (FOSLS) : Basic concepts (S. McCormick) FOSLS for Stokes and Navier-Stokes (S. McCormick) 2:50 - 3:10 p.m. Break 3:10 - 4:10 p.m. Preconditioning (E. Turkel) 4:30 - 6:30 p.m. La Tech campus tour 6:30 - 8:00 p.m. Welcome party 8:40 - 12:00 noon One-on-one discussion with invited speakers 1:00 - 4:10 p.m. One-on-one discussion with invited speakers Tuesday, June 25 8:00 - 9:50 a.m. Principal factors of differential systems and their distributive relaxation (A. Brandt) h ellipticity and solvers for non-elliptic factors (A. Brandt) 9:50 - 10:10 a.m. Break 10:10 - 12:00 noon FOSLS for Stokes and Navier-Stokes (S. McCormick) FOSLS for other applications (S. McCormick) 1:00 - 2:50 p.m. Upwind methods - their fundamentals and practical applications (P. Roe) 2:50- 3:10 p.m. Break 3:10- 5:00 p.m. Preconditioning (E. Turkel) Far field boundary conditions (E. Turkel) 7:00- 9:00 p.m. Code release and user's training class ( at Dept. of Mathematics and Statistics, La. Tech.) 8:00 - 12:00 noon One-on-one discussion with invited speakers 1:00 - 5:00 p.m. One-on-one discussion with invited speakers 7:00 - 9:00 p.m. One-on-one discussion with invited speakers Wednesday, June 26 8:00 - 9:50 a.m. Treatment of boundary conditions and unbounded domains (A. Brandt) Time-dependent problems and summary (A. Brandt) 9:50 - 10:10 a.m. Break 10:10- 12:00 noon Upwind methods - their fundamentals and practical applications (P. Roe) 1:00- 2:50 p.m. Principles in multilevel adaptive methods (C. Liu) 2:50- 3:10 p.m. Break 3:10- 5:00 p.m. Two-equation eddy viscosity models (T. Shih) 6:00- 8:00 p.m. Banquet 8:00 - 12:00 noon One-on-one discussion with invited speakers 1:00 - 5:00 p.m. One-on-one discussion with invited speakers 8:00 - 9:00 p.m. One-on-one discussion with invited speakers Thursday, June 27 8:00 - 9:50 a.m. Reynolds stress algebraic equation models (T. Shih) Second moment transport equation models (T. Shih) 9:50 - 10:10 a.m. Break 10:10- 12:00 noon Implementation and application of turbulence models for complex flow (J. Zhu) 1:00- 2:50 p.m. High-order grid generation, multilevel grid dissipation, and other strategies for DNS (C. Liu) 2:50- 3:10 p.m. Break 3:10- 5:00 p.m. Implementation of multiblock, multigrid, and local refinement (C. Sung) 7:00- 9:00 p.m. Code release and user's training class ( at Dept. of Mathematics and Statistics, La. Tech.) 8:00 - 12:00 noon One-on-one discussion with invited speakers 1:00 - 5:00 p.m. One-on-one discussion with invited speakers 7:00 - 9:00 p.m. One-on-one discussion with invited speakers Friday, June 27 8:00 - 9:50 a.m. Direct numerical simulation of receptivity and the whole process of transition on 2-D and 3-D airfoils (Z. Liu). 9:50 - 10:10 a.m. Break 10:10- 12:00 noon Multigrid methods for solving k-omega turbulence models (X. Zheng) Transition modeling by k-omega model (X. Zheng) 1:00- 2:50 p.m. Implementation of multigrid methods in prediction of turbulent combustion with detailed chemistry (C. Liao) 2:50- 3:10 p.m. Break 3:10- 5:00 p.m. Code release and user training class ( at Dept. of Mathematics and Statistics, La. Tech.) One-on-one discussion (Drs. Lius, Zheng, & Liao) REGISTRATION FORM ADVANCES IN COMPUTATIONAL FLUID DYNAMICS Five-Day Short Course Louisiana Tech University, Ruston, Louisiana June 24 - 28, 1996 Name _________________________________________________________ Affiliation _________________________________________________________ Street _________________________________________________________ Address _________________________________________________________ Country _________________________________________________________ e-mail address _________________________________________________________ Phone # _________________________________________________________ Fax # _________________________________________________________ Registration Fee postmarked before May 24, 1996 (discount rate) ( ) Regular $350 ( ) Group $250 ( ) Student $150 postmarked May 25 and after or paid at conference (regular rate) ( ) Regular $370 ( ) Group $270 ( ) Student $170 Method of Payment ( ) Check or money order enclosed Checks written to: ACFD Short Course Must be in U.S. funds drawn on a U.S. bank. If paying with a EuroCheque please add $6 to your fee for bank processing. ( ) VISA or MASTER CARD only (No Am. Ex.) Card # _________________________________________________________ Exp. _________________________________________________________ Date _________________________________________________________ Signature _________________________________________________________ Send or email (Credit card orders only) registration forms to: Margaret Dunn Secretary of ACFD Short Course The Graduate School Louisiana Tech University Ruston, LA 71272 Tel: (318)257-2924 email : blossom@vm.cc.latech.edu Editor's Note: This is also in mgnet/Conferences/LaTU.0696. ------------------------------ End of MGNet Digest **************************