Donald Schwendeman
Professor of Mathematical Sciences
Education:
Ph.D., California Institute of Technology
Research Areas:
Numerical methods for partial differential equations.
Gas dynamics and wave propagation.
Multiscale and multiphase reactive flow.
Adaptive mesh refinement and parallel algorithms.
Mathematical modeling and computations in industrial applications.
Selected Publications:
J.W. Banks, D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A highresolution Godunov method for compressible multimaterial flow on overlapping grids, J. Comput. Physics, submitted.
A.K. Kapila, D.W. Schwendeman, J.B. Bdzil and W.D. Henshaw, A study of detonation diffraction in the ignitionandgrowth model, Combust. Theory and Modeling, submitted.
W.D. Henshaw and D.W. Schwendeman, Moving overlapping grids with adaptive mesh refinement for highspeed reactive and nonreactive flow, J. Comput. Physics, accepted.
D.W. Schwendeman, C.W. Wahle and A.K. Kapila, The Riemann problem and a high resolution Godunov method for a model of compressible twophase flow, J. Comput. Physics, 212 (2006), pp. 490526.
L.J. Borucki, T. Witelski, C. Please, P.R. Kramer and D.W. Schwendeman, A theory of pad conditioning for chemicalmechanical polishing, J. Engineering Mathematics, 50 (2004), pp. 124.
A.K. Kapila and D.W. Schwendeman, Detonation initiation: modelling, computation and mechanisms, Proceedings of the International Symposium on Advances in Computational Heat Transfer, Bergen, Norway, April 1924, 2004.
W.D. Henshaw and D.W. Schwendeman, An adaptive numerical method for highspeed reactive flow on overlapping grids, J. Comput. Physics, 191 (2003), pp. 420447.
A.K. Kapila, D.W. Schwendeman, J.J. Quirk and T. Hawa, Mechanisms of detonation formation due to a temperature gradient, Combustion Theory and Modeling, 6 (2002), pp. 553594.
D.G. Thakurta, D.W. Schwendeman, R.J. Gutmann, S. Shankar, L. Jiang and W.N. Gill, Threedimesional waferscale copper chemicalmechanical planarization model, Thin Solid Films, 414 (2002), pp. 7890.
D.W. Schwendeman, On converging shock waves of spherical and polyhedral form, J. Fluid Mech., 454 (2002), pp. 365386.
A.D. Fitt, P.D. Howell, J.R. King, C.P. Please and D.W. Schwendeman, Multiphase flow in a roll press nip, Euro. J. Appl. Math., 13 (2002), pp. 225259.
D.W. Schwendeman and A.K. Kapila, Effect of thermal nonhomogeneity on the occurrence of thermal explosion or detonation in an annular cookoff, Proceedings of the Twelfth Symposium (International) on Detonation, San Diego, CA, 2002.
D.G. Thakurta, C.L. Borst, D.W. Schwendeman, R.J. Gutmann and W.N. Gill, Threedimensional chemicalmechanical planarization slurry flow model based on lubrication theory, J. Electrochemical Society, 148 (2001), pp. G207G214.
H.G. Hornung and D.W. Schwendeman, Oblique shock reflection from an axis of symmetry: Shock dynamics and relation to the Guderley singularity, J. Fluid Mech., 438 (2001), pp. 231245.
D.G. Thakurta, C.L. Borst, D.W. Schwendeman, R.J. Gutmann, and W.N. Gill, Pad porosity, compressibility and slurry delivery effects in chemicalmechanical planarization: modeling and experiments, Thin Solid Films, 366 (2000), pp. 181190.
S. Sundararajan, D.G. Thakurta, D.W. Schwendeman, S.P. Murarka, and W.N. Gill, Twodimensional waferscale chemicalmechanical planarization models based on lubrication theory and mass transport, J. Electro. Society, 146 (1999), pp. 761766.
D.W. Schwendeman, A higher order Godunov method for the hyperbolic equations modeling shock dynamics, Proc. Royal Society Lond., A455 (1999), pp. 12151233.
B.L. Bihari and D.W. Schwendeman, Multiresolution schemes for the reactive Euler equations, J. Comput. Physics, 154 (1999), pp. 197230.
S.A. Triantafillou, D.W. Schwendeman, and J.D. Cole, Optimization of conical wings in hypersonic flow, J. Theoret. and Comput. Aerodynamics, 12 (1998), pp. 219232.
D.W. Schwendeman, A front dynamics approach to curvaturedependent flow, SIAM J. Applied Math, 56 (1996), pp. 15231538.
D.W. Schwendeman, M.C.A. Kropinski and J.D. Cole, An analytical and numerical study of optimal critical airfoils, J. Applied Math and Mech. (ZAMM), 76 (1996), pp. 365368.
M.C.A. Kropinski, D.W. Schwendeman, and J.D. Cole, Hodograph design of lifting airfoils with high critical Mach numbers, J. Theoret. and Comput. Aerodynamics, 7 (1995), pp. 173188.
C.P. Please, D.W. Schwendeman, and P.S. Hagan, Ohmic heating of foods during aseptic processing, IMA J. of Mathematics Applied to Business and Industry, 5 (1995), pp. 283301.
D.W. Schwendeman, Accuracy of shock wave propagation using geometrical shock dynamics, Proc. 20th International Symp. on Shock Waves, Pasadena, California, July 2328, 1995.
P.S. Hagan, C.P. Please, and D.W. Schwendeman, Lightoff behavior of catalytic converters, SIAM J. Appl. Math., 54 (1994), pp. 7292.
D.W. Schwendeman, A new numerical method for shock wave propagation based on geometrical shock dynamics, Proc. Royal Society, A441 (1993), pp. 331341.
D.W. Schwendeman, M.C.A. Kropinski, and J.D. Cole, On the construction and calculation of optimal nonlifting critical airfoils, J. Appl. Math. and Phys. (ZAMP), 44 (1993), pp. 556571.
R. Akbar, D.W. Schwendeman, J.E. Shephard, R.L. Williams, and G.O. Thomas, Wave shaping channels for gaseous detonations, Proc. 19th International Symp. on Shock Waves, Marseille, France, July 2630, 1993.
C.C. Lim, J.M. Pimbley, C. Schmeiser, and D.W. Schwendeman, Rotating waves for semiconductor inverter rings, SIAM J. Appl. Math., 52 (1992), pp. 671690.
J.D. Cole, M.C.A. Kropinski and D.W. Schwendeman, A study of critical airfoils, Proc. International Symp. on C.F.D., Davis, CA, 1991.
D.W. Schwendeman, Numerical shock propagation using a full potential equation, Proc. International Symp. on C.F.D., Davis, CA, 1991.
D.W. Schwendeman, Nonlinear diffusion of impurities in semiconductors, J. Appl. Math. and Phys. (ZAMP), 41 (1990), pp. 607627.
J.D. Cole and D.W. Schwendeman, Hodograph design of shockfree transonic bodies, Proc. 3rd International Conf. on Hyperbolic Problems, Uppsala, Sweden 1990.
D.W. Schwendeman, A numerical scheme for shock propagation in three dimensions, Proc. Royal Society, A416 (1988), pp. 179198.
D.W. Schwendeman, Numerical shock propagation in nonuniform media, J. Fluid Mech., 188 (1988), pp. 383410.
D.W. Schwendeman and G.B. Whitham, On converging shock waves, Proc. Royal Society, A413 (1987), pp. 297311.
W.D. Henshaw, N.F. Smyth and D.W. Schwendeman, Numerical shock propagation using geometrical shock dynamics, J. Fluid Mech., 171 (1986), pp. 519545.
Contact Information:
Donald Schwendeman
(518) 2762647
schwed@rpi.edu
More Info:
http://homepages.rpi.edu/~schwed
