Error Freed CFD Mathematics

Stability, Monotonicity, Finite Element Theory
1. Auflage 2025
ISBN: 978-3-11-914776-7
Verlag: De Gruyter

Buch, Englisch, 430 Seiten, Format (B × H): 170 mm x 240 mm

CFD analytically derives and validates continuum calculus to Navier-Stokes partial differential equation systems that completely the legacy CFD theory/practice 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 physics of fluids prediction . Weak formulation Galerkin finite element (FE) basis theorization identifies cubically nonlinear continuum calculus tensor product functionals that totally the need for code stabilization. also stabilized shock capture. Resultant is classic tri-diagonal stencil equivalentgeneration of strictly discrete approximations that are 4 order accurate in physical space, wave number space and implicit time on mesh. Summarily, matrix differential calculus identifies all nonlinear contributions to the 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 solution
• mathematical complexity of TEA theory advancements are keyed to ready alteration of current practice finite volume commercial/government and FE CFD codes

Zielgruppe

Researchers, Professionals and Practitioners, Postgraduates

Autoren/Hrsg.

Baker, A. J.

Freels, James D.

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Algorithmen & Datenstrukturen
• Technische Wissenschaften Umwelttechnik | Umwelttechnologie Umwelttechnik

Über Autor(innen)

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

Award, UT College of Engineering, 2003

Award, University of Tennessee, 1993

Award, University of Tennessee, 1983

NASA 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