

Donald Schwendeman
Professor and Department Head
Ph.D. California Institute of Technology
Computational and Applied Mathematics

Research
 Interests:
 Numerical methods for partial differential equations.
 Fluidstructure interaction problems.
 Electrodynamics and nanophontonics.
 Gas dynamics and wave propagation.
 Multiscale and multiphase reactive flow.
 Adaptive mesh refinement and parallel algorithms.
 Mathematical modeling and computations in industrial applications.
 Collaborators:
 Ash Kapila, Rensselaer Polytechnic Institute.
 Bill Henshaw, Rensselaer Polytechnic Institute.
 Jeff Banks, Rensselaer Polytechnic Institute.
 Mark Short, Los Alamos National Laboratory.
 Software:
 Most of the algorithms and research results described in the publications below are available in Overture. The software is freely available at overtureframework.org
 Recent publications (full list with links):
 J.W. Banks, W.D. Henshaw, D.W. Schwendeman and Qi Tang, A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part I: Model Problem Analysis, J. Comput. Physics, 343 (2017), 432468.
 J.W. Banks, W.D. Henshaw, D.W. Schwendeman and Qi Tang, A stable partitioned FSI algorithm for rigid bodies and incompressible flow. Part II: General Formulation, J. Comput. Physics, 343 (2017), 469500.
 F. Meng, J.W. Banks, W.D. Henshaw and D.W. Schwendeman, CHAMP: A Stable and Accurate Partitioned Algorithm for Conjugate Heat Transfer, J. Comput. Physics, 344 (2017), 5185.
 J. Gambino, A.K. Kapila and D.W. Schwendeman, Sensitivity of runtodetonation distance in practical explosives, Combust. Theory and Modeling, 20 (2016), 10881117.
 L. Li, W.D. Henshaw, J.W. Banks, D.W. Schwendeman and G.A. Main, A stable partitioned FSI algorithm for incompressible flow and deforming beams, J. Comput. Physics, 312 (2016), 272306.
 J.W. Banks, W.D. Henshaw, A.K. Kapila and D.W. Schwendeman, An addedmass partition algorithm for fluidstructure interactions of compressible fluids and nonlinear solids, J. Comput. Physics, 305 (2016), 10371064.
 A.K. Kapila, D.W. Schwendeman, J. Gambino, and W.D. Henshaw, A Numerical Study of the Dynamics of Detonation Initiated by Cavity Collapse, Shock Waves, 25 (2015), 545572
 D.W. Schwendeman, C.P. Please, B.S. Tilley and F. Hendriks, A homogenization analysis of the compressible flow between a slider and a moving rough surface, IMA J. Appl. Math., 80 (2015), 177211.
 J.W. Banks, W.D. Henshaw and D.W. Schwendeman, An analysis of a new stable partitioned algorithm for FSI problems. Part I: Incompressible flow and elastic solids, J. Comput. Physics, 269 (2014), 108137.
 J.W. Banks, W.D. Henshaw and D.W. Schwendeman, An analysis of a new stable partitioned algorithm for FSI problems. Part II. Incompressible flow and structural shells, J. Comput. Physics, 268 (2014), 399416.
 D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A hybrid twophase mixture model of detonation diffraction with compliant confinement, Comptes Rendus Mathematique, 340 (2012), 804817.
 D. Appelo, J.W. Banks, W.D. Henshaw and D.W. Schwendeman, Numerical methods for solid mechanics on overlapping grids: linear elasticity, J. Comput. Physics, 231 (2012), 60126050.
 D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A comparative study of two macroscale models of condensedphase explosives, IMA J. Applied Math., 77 (2012), 217.
 M. Ozlem, D.W. Schwendeman, A.K. Kapila and W.D. Henshaw, A numerical study of shockinduced cavity collapse, Shock Waves, 22 (2012), 89117.
 J.W. Banks, W.D. Henshaw and D.W. Schwendeman, Deforming composite grids for solving fluid structure problems, J. Comput. Physics, 231 (2012), pp. 35183547.


Course Information
 Fall semester, 2017
 Math 6890 Numerical Methods for Fluid and Solid Mechanics
 Spring semester, 2017
 Math 2400 Introduction to Differential Equations
 Spring semester, 2016
 Fall semester, 2015
 Math 2400 Introduction to Differential Equations


Modeling Camps and Industry Workshops
 Overview of the GSMM Camp and MPI Workshop
 Graduate Student Mathematical Modeling (GSMM) Camps
 GSMMC 2016, June 710, 2016 at Rensselaer Polytechnic Institute.
 GSMMC 2015, June 1619, 2015 at Rensselaer Polytechnic Institute.
 GSMMC 2014, June 1720, 2014 at Rensselaer Polytechnic Institute.
 GSMMC 2013, June 1114, 2013 at Rensselaer Polytechnic Institute.
 GSMMC 2012, June 58, 2012 at Rensselaer Polytechnic Institute.
 GSMMC 2011, June 1112, 2011 at New Jersey Institute of Technology.
 GSMMC 2010, June 811, 2010 at Rensselaer Polytechnic Institute.
 GSMMC 2009, June 912, 2009 at Rensselaer Polytechnic Institute.
 GSMMC 2008, June 1013, 2008 at Rensselaer Polytechnic Institute.
 GSMMC 2007, June 58, 2007 at Rensselaer Polytechnic Institute.
 GSMMC 2006, June 69, 2006 at Rensselaer Polytechnic Institute.
 GSMMC 2005, June 710, 2005 at Rensselaer Polytechnic Institute.
 GSMMC 2004, June 1518, 2004 at Rensselaer Polytechnic Institute.
 Mathematical Problems in Industry (MPI) Workshops
 MPI 2016, June 1317, 2016 at Duke University.
 MPI 2015, June 2226, 2015 at the University of Delaware.
 MPI 2014, June 2327, 2014 at New Jersey Institute of Technology.
 MPI 2013, June 1721, 2013 at Worcester Polytechnic Institute.
 MPI 2012, June 1115, 2012 at the University of Delaware.
 MPI 2011, June 1317, 2011 at New Jersey Institute of Technology.
 MPI 2010, June 1418, 2010 at Rensselaer Polytechnic Institute.
 MPI 2009, June 1519, 2009 at the University of Delaware.
 MPI 2008, June 1620, 2008 at Worcester Polytechnic Institute.
 MPI 2007, June 1115, 2007 at the University of Delaware.
 MPI 2006, June 1216, 2006 at Olin College.
 MPI 2005, June 1317, 2005 at Worcester Polytechnic Institute.
 MPI 2004, June 2125, 2004 at the University of Delaware.
 MPI 2003, June 26, 2003 at Worcester Polytechnic Institute.
 MPI 2002, June 37, 2002 at Rensselaer Polytechnic Institute.
 MPI 2001, June 48, 2001 at Rensselaer Polytechnic Institute.


Contact Information
Donald Schwendeman
Department of Mathematical Sciences
Rensselaer Polytechnic Institute
110 8th Street
Troy, New York 12180
Phone: (518) 2762647
Fax: (518) 2764824
Email: schwed@rpi.edu

