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Error Freed CFD Mathematics analytically derives and validates nonlinear continuum calculus alterations to Navier-Stokes partial differential equation systems that completely annihilate the legacy CFD theory/practice intrinsic error mechanisms
- spatial-temporal discretization generated instability
- discrete algebra theorization limitations
- physics-based isotropic Reynolds stress tensor modeling
- weak linear algebra admitted non-convergence
that persist to
compromise physics of fluids prediction
fidelity. Weak formulation
continuous Galerkin finite element (FE) basis theorization identifies cubically nonlinear continuum calculus tensor product functionals that totally
eliminate the need for code
phake physics stabilization. also stabilized shock capture. Resultant is classic tri-diagonal stencil equivalent
generation of strictly
monotone discrete approximations that are 4
th order accurate in physical space, wave number space and implicit time on
any mesh. Summarily, matrix differential calculus identifies all nonlinear contributions to the
quadratic convergent Newton iteration algorithm to eliminate generation of non-converged solutions.
- covers incompressible/compressible laminar, turbulent, transitional thermal-fluid dynamics processes in multiply connected domains with shocks, contact surfaces
- rigorous theory derived asymptotic convergence, local and global error estimates, error quantification, stopping criterion for regular solution adapted nonuniform mesh refinement "on-the-fly" code execution at the optimal mesh solution
- mathematical complexity of TEA theory unstagnation advancements are keyed to ready alteration of current practice finite volume commercial/government and FE CFD codes
Info autore
A. J. Baker
, PhD, PE
,
Professor Emeritus, MAE, University of Tennessee, Knoxville TN
Professional Preparation:
Union College, Schenectady, NY, Mechanical Engineering, BME, 1958
State University of New York/Buffalo, Engineering Science, MSc, 1968
State University of New York/Buffalo, Engineering Science, PhD, 1970
Professional Appointments:
2010-present: Professor Emeritus, University of Tennessee/Knoxville
2010-2013: Member, Technical Staff, Trideum Inc., Huntsville AL
1982-2013: Director, UT CFD Laboratory, University of Tennessee/Knoxville
1979-2010: Professor, MAE/Engineering Science, University of Tennessee/Knoxville
6/2003: Visiting Scientist, National Computing Center, Taipei, Taiwan
1/2001: Visiting Professor, Mechanical Engineering, Northwest University, Potchefstroom, South Africa
1975-1997: President and Chief Scientist, Computational Mechanics Corp., Knoxville TN
9/1995: Visiting Professor, Civil Engineering, Chuo University, Tokyo, Japan
3/1983: Lecturer, von Karman Institute of Fluid Dynamics, Brussels, Belgium
1975-1979: Associate Professor, Engineering Science & Mechanics, University of Tennessee, Knoxville TN
1974-1975: Visiting Professor, Mechanical Engineering, Old Dominion University, and Visiting Scientist, NASA Langley Research Center, Hampton, VA
1971-1973: Visiting Scientist (summers), Institute for Computer Applications in Science & Engineering (ICASE), NASA Langley, Hampton, VA
1970-1974: Principal Research Scientist, Computational Fluid Mechanic, Textron/Bell Aerospace Inc., Buffalo, NY
1965-1970: Instructor, Engineering Faculty, SUNY/Buffalo
1958-1964: Mechanical Engineer, Union Carbide Corp., Buffalo NY
Graduate Degree Production,
17 PhD (major professor), 18 MSc (thesis advisor)
Research Contract Support
: ~$11 M during UT professorship as PI
Professional Honors and Associations
:
Fellow (elected 2001), US Association for Computational Mechanics (USACM)
Fellow (elected 2002), International Association for Computational Mechanics (IACM)
Associate Fellow (elected 1974), American Institute Aeronautics and Astronautics
Research Fellow
Award, UT College of Engineering, 2003
Excellence in Technology Transfer
Award, University of Tennessee, 1993
Chancellor’s Research Scholar
Award, University of Tennessee, 1983
NASA
Tech Brief
Awards, 1984, 1976
Professional Engineer, New York and Tennessee
Journal Associate Editorships (now Emeritus): Computer Methods in Applied Mechanics and Engineering, Progress in Computational Fluid Dynamics, Numerical Heat Transfer, Numerical Methods in Fluids
James D. Freels
PhD, PE, Senior Research Staff (retired 2018), UT-Battelle, ORNL,
Adjunct Faculty member, MAE, University of Tennessee, Knoxville, TN
Professional Preparation:
BS Nuclear Engineering, University of TN, 1977
MS Nuclear Engineering, University of TN, 1979
PhD Engineering Science and Mechanics, Univ TN, 1992
Professional Experience
:
1979-1983: Staff Scientist, Science Applications, Inc, Oak Ridge, TN
1983-1988: Senior Engr, Technology for Energy Corporation, Knoxville, TN
1988-1991: Senior Staff Scientist/Division Manager,
Science Applications International Corporation, Oak Ridge, TN
1991-2017: Senior Research Staff, Nuclear Safety Group, Research Reactors Division,
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN
Riassunto
Error Freed
CFD
Mathematics
analytically derives and validates
nonlinear
continuum calculus
alterations
to Navier-Stokes partial differential equation systems that completely
annihilate
the legacy CFD theory/practice
intrinsic
error mechanisms
- spatial-temporal discretization generated instability
- discrete algebra theorization limitations
- physics-based isotropic Reynolds stress tensor modeling
- weak linear algebra admitted non-convergence
that persist to
compromise physics of fluids prediction
fidelity . Weak formulation
continuous Galerkin finite element (FE) basis theorization identifies cubically nonlinear continuum calculus tensor product functionals that totally
eliminate the need for code
phake physics stabilization. also stabilized shock capture. Resultant is classic tri-diagonal stencil equivalent
generation of strictly
monotone discrete approximations that are 4
th order accurate in physical space, wave number space and implicit time on
any mesh. Summarily, matrix differential calculus identifies all nonlinear contributions to the
quadratic convergent Newton iteration algorithm to eliminate generation of non-converged solutions.
- covers incompressible/compressible laminar, turbulent, transitional thermal-fluid dynamics processes in multiply connected domains with shocks, contact surfaces
rigorous theory derived asymptotic convergence, local and global error estimates, error quantification, stopping criterion for regular solution adapted nonuniform mesh refinement “on-the-fly” code execution at the
optimalmesh
solution
mathematical complexity of TEA theory
unstagnation
advancements are keyed to ready alteration of current practice finite volume commercial/government and FE CFD codes
