Error Freed CFD Mathematics

Nyhet

Stability, Monotonicity, Finite Element Theory

Inbunden, Engelska, 2025

Av A. J. Baker, James D. Freels

2 549 kr

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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 instabilitydiscrete algebra theorization limitationsphysics-based isotropic Reynolds stress tensor modeling weak linear algebra admitted non-convergencethat 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 4th 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 surfacesrigorous 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

Produktinformation

Utgivningsdatum2025-11-11
Mått170 x 240 x undefined mm
Vikt500 g
FormatInbunden
SpråkEngelska
Antal sidor262
FörlagDe Gruyter
ISBN9783119147767

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A. J. Baker, PhD, PE, Professor Emeritus, MAE, University of Tennessee, Knoxville TNProfessional Preparation: Union College, Schenectady, NY, Mechanical Engineering, BME, 1958State University of New York/Buffalo, Engineering Science, MSc, 1968State University of New York/Buffalo, Engineering Science, PhD, 1970Professional Appointments:2010-present: Professor Emeritus, University of Tennessee/Knoxville2010-2013: Member, Technical Staff, Trideum Inc., Huntsville AL1982-2013: Director, UT CFD Laboratory, University of Tennessee/Knoxville1979-2010: Professor, MAE/Engineering Science, University of Tennessee/Knoxville 6/2003: Visiting Scientist, National Computing Center, Taipei, Taiwan1/2001: Visiting Professor, Mechanical Engineering, Northwest University, Potchefstroom, South Africa1975-1997: President and Chief Scientist, Computational Mechanics Corp., Knoxville TN9/1995: Visiting Professor, Civil Engineering, Chuo University, Tokyo, Japan3/1983: Lecturer, von Karman Institute of Fluid Dynamics, Brussels, Belgium1975-1979: Associate Professor, Engineering Science & Mechanics, University of Tennessee, Knoxville TN1974-1975: Visiting Professor, Mechanical Engineering, Old Dominion University, and Visiting Scientist, NASA Langley Research Center, Hampton, VA1971-1973: Visiting Scientist (summers), Institute for Computer Applications in Science & Engineering (ICASE), NASA Langley, Hampton, VA1970-1974: Principal Research Scientist, Computational Fluid Mechanic, Textron/Bell Aerospace Inc., Buffalo, NY1965-1970: Instructor, Engineering Faculty, SUNY/Buffalo1958-1964: Mechanical Engineer, Union Carbide Corp., Buffalo NYGraduate Degree Production, 17 PhD (major professor), 18 MSc (thesis advisor)Research Contract Support: ~$11 M during UT professorship as PIProfessional 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 AstronauticsResearch Fellow Award, UT College of Engineering, 2003Excellence in Technology Transfer Award, University of Tennessee, 1993Chancellor’s Research Scholar Award, University of Tennessee, 1983NASA Tech Brief Awards, 1984, 1976Professional Engineer, New York and TennesseeJournal 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, TNProfessional Preparation: BS Nuclear Engineering, University of TN, 1977MS Nuclear Engineering, University of TN, 1979PhD Engineering Science and Mechanics, Univ TN, 1992Professional Experience:1979-1983: Staff Scientist, Science Applications, Inc, Oak Ridge, TN1983-1988: Senior Engr, Technology for Energy Corporation, Knoxville, TN1988-1991: Senior Staff Scientist/Division Manager,Science Applications International Corporation, Oak Ridge, TN1991-2017: Senior Research Staff, Nuclear Safety Group, Research Reactors Division,Oak Ridge National Laboratory (ORNL), Oak Ridge, TN