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Publications

G. Chukkapalli, **S. R. Karpik**, and C. R. Ethier, “*A Scheme for Generating Unstructured Grids on Spheres with Application to Parallel Computing*”, Journal of Computational Physics, 149, 13 pp., 1999.

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S. R. Karpik** and S. R. Crockett, “*A Semi-Lagrangian Algorithm for the 2-d Advection-Diffusion Equation on Curvilinear Coordinate Meshes*”, Journal of Hydraulic Engineering, 123 (5), pp. 389-401, 1997.

P. A. Makar and **S. R. Karpik**, “*Basis-Spline Interpolation on the Sphere:Applications to Semi-Lagrangian Advection*”, Monthly Weather Review, 24 (1), pp. 182-199, 1996.

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S. R. Karpik**, J. L. Walmsley, and W. Weng, “*The Mixed Spectral Finite-Difference (MSFD) Model: Improved Upper Boundary Conditions*”, Boundary Layer Meteorology, 75 (4), 1995.

D. A. Steinman, C. R. Ethier, X. Zhang and **S. R. Karpik**, “*Effects of Local Geometry on Anastomotic Flow Pattern*”, in Proc. of 1994 ASME Winter Annual Meeting, 2 pp., 1994.

J. L. Walmsley, **S. R. Karpik** and W. Weng, “*Wind Flow and Turbulence Estimates in Complex Terrain Using Linearized Models*”, in Proc. of European Wind Energy Association Conference, 5 pp., 1994.

W. Weng, J. L. Walmsley, **S. R. Karpik**, D. Xu, P. A. Taylor, K. Ayotte and J. R. Salmon “*Applications of the MSFD and NLMSFD Models to Airflow Over Askervein Hill*”, in Proc. of European Wind Energy Association Conference, 6 pp., 1994.

J. L. Walmsley, W. Weng, **S. R. Karpik**, D. Xu and P. A. Taylor, “*Application of the Mixed Spectral Finite-Difference (MSFD) Model and its Nonlinear Extension (NLMSFD) to Wind Flows over Blashaval Hill*”, Air Pollution Modelling and Its Application XX, 8 pp. (New York: Plenum Publishing Corp., 1994).

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S. R. Karpik**, “*A Spline-Based Semi-Lagrangian Method for Advection Dominated Transport Equations on Triangular Meshes*”, in Proc. of CFD’94, pp. 91-98, 1994.

D. A. Steinman, C. R. Ethier, X. Zhang and **S. R. Karpik**, “*Code Testing with an Exact Solution to the 3-D Navier-Stokes Equations*”, in Proc. of CFD’94, pp. 115-122, 1994.

X. Zhang, C. R. Ethier, **S. R. Karpik** and D. A. Steinman, “*Development of a Solver for the 3-D Unsteady Incompressible Navier-Stokes Equations*”, in Proc. of CFD’94, pp. 379-386, 1994.

C. R. Ethier, X. Zhang, **S. R. Karpik** and M. Ojha, “*Numerical Simulation of Flow in a Model 3-D End-to-Side Anastomosis*”, Proc. of ASME Winter Annual Meeting in 1993 Advances in Bioengineering, BED 26, pp. 83-86, 1993.

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S. R. Karpik** and J. L. Walmsley, “*A Linear Model for Stratified Flow in Complex Terrain*”, Air Pollution Modelling and Its Application XIX (New York: Plenum Publishing Corp., 1992).

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S. R. Karpik** and W. R. Peltier, “*Multigrid Methods for the Solution of Poisson's Equation in a Thick Spherical Shell*”, SIAM Journal on Scientific and Statistical Computing, Vol. 12, pp. 681-694, 1991.

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S. R. Karpik**, “*An Analysis of Finite Element Schemes for Advection Dominated Transport Equations*”, in Ocean Waves Mechanics, Computational Fluid Dynamics and Mathematical Modelling, edited by M. Rahman, pp. 895-902 (Southampton: Computational Mechanics Publications, 1990).

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S. R. Karpik** and G. D. Raithby, “*A Laterally Averaged Hydrodynamics Model for Reservoir Predictions*”, ASCE Journal on Hydraulic Engineering, Vol. 116, pp. 783-798, 1990.

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S. R. Karpik**, “*An Improved Method for Integrating the MSFD Model Equations*”, Boundary-Layer Meteorology 43, pp. 273-286, 1988.

D. Clarke, **S. R. Karpik** and R. N. Henriksen, “*Numerical Simulation of the Growth of Thick Accretion Disks*”, Ap. J. Suppl. 58, pp. 81-106, 1985.

J. S. Chang and **S. R. Karpik**, “*Plasma Density Distribution in a Medium Pressure Flowing Positive Column*”, B. Am. Phys. Soc. 25, p. 109, 1980.

J. L. Walmsley and **S. R. Karpik**, “*Wind Flow and Turbulence Estimates in Complex Terrain Using Linearized Models*”, European Wind Energy Association Conference, 2 pp., 1994.

W. Weng, J. L. Walmsley, **S. R. Karpik**, D. Xu, P. A. Taylor, K. Ayotte and J. R. Salmon “*Applications of the MSFD and NLMSFD Models to Airflow Over Askervein Hill*”, in Proc. of European Wind Energy Association Conference, 2 pp., 1994.

C. R. Ethier, X. Zhang, **S. R. Karpik**, K. W. Johnston, and D. A. Steinman, “*Flow Patterns in Hooded vs. Non-Hooded Astomoses*”, Second World Conference of Biomechanics, 1994.

J. L. Walmsley and **S. R. Karpik**, “*MSFD-PC: A Computer Model Package for Wind Flow and Turbulence Estimates in Complex Terrain*”, Canadian Wind Energy Conference, Pincher Creek, Alberta, September 20-22, 1993.

P. A. Taylor, **S. R. Karpik** and J. L. Walmsley, “*Linearized Models of Boundary Layer Flow Over Low Hills”, Symposium of Dynamics of Flow Over Topography”* at the 19th Congress of the IUGG, Vancouver, August, 1987.

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S. R. Karpik**, J. L. Walmsley and A. C. M. Beljaars, “*A Mixed Spectral Finite-Difference Model for Flow Over Complex Terrain*”, First International Conference on Industrial and Applied Mathematics, Paris, June 29-July 3, 1987.

J. L. Walmsley and **S. R. Karpik**, “*MSFD-PC: A Computer Model Package for Wind Flow and Turbulence Estimates in Complex Terrain*”, in Proc. of the 9th Annual Conference of the Canadian Wind Energy Association, 8 pp., 1993.

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S. R. Karpik **and C. Kessler, *A User’s Manual for the MSFD-PC Model*, prepared for Environment Canada and Zephyr North (1993).

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S. R. Karpik**, *Numerical and Physical Modelling of the Air Flow in Automobile Paint Spray Booths: Proposal and Feasibility Study*, prepared by Kings Engineering Associates Ltd. for the Advanced Engineering Staff, General Motors Technical Center, Warren, Michigan (June, 1992).

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S. R. Karpik**, *A Critical Review of the Province of Ontario's Nuclear Emergency Atmospheric Dispersion Model*, report commissioned by the Ontario Nuclear Safety Review, 41 pp. (1987).

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S. R. Karpik** and J. L. Walmsley, *MSFD-PC: A Computer Model for Flow in Complex Terrain*, distributed by Zephyr North, 1994.

P. A. Makar and **S. R. Karpik**, *P-Spline: A Collection of Codes for Interpolation on Spherical Surfaces*, distributed by the authors, 1994.

K. Aubé, J. Finkel, C. R. Ethier, X. Zhang, D. Steinman, **S. R. Karpik** and K. W. Johnson, *Flow Visualization in End-to-Side Anastomosis*, 5 minutes and 30 seconds, Department of Mechanical Engineering, University of Toronto, April, 1994.

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S. R. Karpik**, “*The Semi-Lagrangian and Finite Element Methods in Geophysical Flows*”, Centre for Research on Computation and It’s Application (CERCA), Montreal, June 8, 1994.

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S. R. Karpik**, “*Spline-based Semi-Lagrangian Finite Element Approximations to Advection Dominated Transport Equations*”, Fluids Seminar Series, Department of Mechanical Engineering, University of Toronto, Toronto, April 19, 1993.

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S. R. Karpik**, “*The MSFD Model: Numerical Considerations*”, Workshop on the Mixed Spectral Finite-Difference Model, Atmospheric Environment Service, Downsview, January 25, 1993.

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S. R. Karpik**, “*Stably Stratified Flow Over Topography*”, Department of Mechanical Engineering, Fluids Seminar Series, Department of Mechanical Engineering, University of Toronto, Toronto, November 29, 1991.

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S. R. Karpik**, “*A Multigrid Method for Elliptic Partial Differential Equations in Thick Spherical Shell Domains*”, Department of Computer Science, University of Toronto, Toronto, March 29, 1990.

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S. R. Karpik**, “*Finite Element Method Schemes for Advection Dominated Flows*”, Faculty of Engineering, University of Guelph, Guelph, November 29, 1989.

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S. R. Karpik**, “*On the Development of a New Model for the Atmospheric General Circulation: Numerical Aspects*”, Department of Applied Mathematics, University of Waterloo, Waterloo, July 18, 1989.

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S. R. Karpik**, “*Massively Parallel Multigrid Methods*”, Canadian Applied Mathematics Society Annual Meeting, Winnipeg, Manitoba, June 7-9, 1989.

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S. R. Karpik**, “*An Improved Method for Integrating the MSFD Model Equations*”, Department of Civil Engineering Lecture Series, University of Western Ontario, February 17, 1987.

D. A. Steinman, C. R. Ethier, X. Zhang and** S. R. Karpik**, “*Effects of Local Geometry on Anastomotic Flow Patterns*”, ASME Winter Meeting, Chicago, November 6-11, 1994.

J. L. Walmsley. **S. R. Karpik **and W. Weng, “*Wind Flow and Turbulence Estimates in Complex Terrain Using Linearized Models*”, European Wind Energy Association Conference and Exhibition, Thessaloniki, Greece, October 10-14, 1994.

W. Weng, J. L. Walmsley, **S. R. Karpik**, Xu, D., P. A. Taylor, K. Ayotte, and J. R. Salmon, “*Applications of the MSFD and NLMSFD Models to Airflow over Askervein Hill*”, European Wind Energy Association Conference and Exhibition, Thessaloniki, Greece, October 10-14, 1994.

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S. R. Karpik**, “*A Spline-Based Semi-Lagrangian Method for Advection-Dominated Transport Equations on Triangular Meshes*”, CFD Society of Canada Annual Conference, Toronto, June 1-3, 1994.

D. A. Steinman, C. R. Ethier, X. Zhang and **S. R. Karpik**, “*Code Testing with an Exact Solution to the 3D Navier-Stokes Equations*”, CFD Society of Canada Annual Conference, Toronto, June 1-3, 1994.

X. Zhang, C. R. Ethier, **S. R. Karpik** and D. A. Steinman, “*Development of a Solver for the 3D Unsteady Incompressible Navier-Stokes Equations*”, CFD Society of Canada Annual Conference, Toronto, June 1-3, 1994.

C. R. Ethier, X. Zhang, **S. R. Karpik**, K. W. Johnston, and D. A. Steinman, “*Flow Patterns in Hooded vs. Non-Hooded Astomoses*”, Second World Conference of Biomechanics, 1994.

C. R. Ethier, X. Zhang, **S. R. Karpik** and Ojha, M., “*Numerical Simulation of Flow in a Model 3-D End-To-Side Anastomosis*”, ASME Winter Annual Meeting, New Orleans, November, 1993.

J. L. Walmsley, W. Weng, **S. R. Karpik**, D. Xu, and P. A. Taylor, “*Application of the Mixed Spectral Finite-Difference (MSFD) Model and Its Nonlinear Extension (NLMSFD) to Wind Flows Over Blashaval Hill*”, Twentieth International Meeting on Air Pollution Modelling and its Application, Valencia, Spain, November 29 - December 3, 1993.

J. L. Walmsley and **S. R. Karpik**, “*MSFD-PC: A Computer Model Package for Wind Flow and Turbulence Estimates in Complex Terrain*”, Canadian Wind Energy Conference, Pincher Creek, Alberta, September 20-22, 1993.

J. L. Walmsley and** S. R. Karpik**, “*A Linear Model for Stratified Flow in Complex Terrain*”, 19th NATO/CCMS International Meeting on Air Pollution Modelling and its Application, Crete, September 29 - October 4, 1991.

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S. R. Karpik**, “*An Analysis of Finite Element Schemes for Advection Dominated Transport Equations*”, Annual Meeting of the Canadian Applied Mathematics Society, Halifax, May 29-June 1, 1990.

P. A. Taylor, **S. R. Karpik** and J. L. Walmsley, “*Linearized Models of Boundary Layer Flow Over Low Hills*”, Symposium of Dynamics of Flow Over Topography at the 19th Congress of the IUGG, Vancouver, August, 1987.

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S. R. Karpik**, J. L. Walmsley and A. C. M. Beljaars, “*A Mixed Spectral Finite-Difference Model for Flow Over Complex Terrain*”, First International Conference on Industrial and Applied Mathematics, Paris, June 29-July 3, 1987.

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S. R. Karpik**, “*A Modified Locally One-Dimensional Solver*”, Canadian Applied Mathematics Society Annual Meeting, Waterloo, May 26-28, 1986.