{"product_id":"9783119147767","title":"Error Freed CFD Mathematics : Stability, Monotonicity, Finite Element Theory","description":"\u003cp\u003e\u003cem\u003eError Freed \u003c\/em\u003eCFD\u003cem\u003e Mathematics\u003c\/em\u003e analytically derives and validates \u003cem\u003enonlinear\u003c\/em\u003e continuum calculus \u003cem\u003ealterations\u003c\/em\u003e to Navier-Stokes partial differential equation systems that completely \u003cem\u003eannihilate \u003c\/em\u003ethe legacy CFD theory\/practice \u003cem\u003eintrinsic\u003c\/em\u003e error mechanisms\u003cem\u003e \u003c\/em\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003espatial-temporal discretization generated instability\u003c\/li\u003e \u003cli\u003ediscrete algebra theorization limitations\u003c\/li\u003e \u003cli\u003ephysics-based isotropic Reynolds stress tensor modeling \u003c\/li\u003e \u003cli\u003eweak linear algebra admitted non-convergence\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003ethat persist to \u003cem\u003ecompromise\u003c\/em\u003e physics of fluids prediction \u003cem\u003efidelity\u003c\/em\u003e. Weak formulation \u003cem\u003econtinuous \u003c\/em\u003eGalerkin finite element (FE) basis theorization identifies cubically nonlinear continuum calculus tensor product functionals that totally \u003cem\u003eeliminate\u003c\/em\u003e the need for code \u003cem\u003ephake physics\u003c\/em\u003e stabilization. also stabilized shock capture. Resultant is classic tri-diagonal stencil equivalent\u003cem\u003e \u003c\/em\u003egeneration of strictly \u003cstrong\u003e\u003cem\u003emonotone\u003c\/em\u003e \u003c\/strong\u003ediscrete approximations that are 4\u003csup\u003eth\u003c\/sup\u003e order accurate in physical space, wave number space and implicit time on \u003cstrong\u003e\u003cem\u003eany\u003c\/em\u003e\u003c\/strong\u003e mesh. Summarily, matrix differential calculus identifies all nonlinear contributions to the \u003cstrong\u003e\u003cem\u003equadratic\u003c\/em\u003e\u003c\/strong\u003e convergent Newton iteration algorithm to eliminate generation of non-converged solutions.\u003c\/p\u003e \u003cul\u003e \u003cli\u003ecovers incompressible\/compressible laminar, turbulent, transitional thermal-fluid dynamics processes in multiply connected domains with shocks, contact surfaces\u003c\/li\u003e \u003cli\u003erigorous 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 \u003cstrong\u003e\u003cem\u003eoptimal\u003c\/em\u003e \u003cem\u003emesh \u003c\/em\u003e\u003c\/strong\u003esolution \u003c\/li\u003e \u003cli\u003e mathematical complexity of TEA theory \u003cem\u003eunstagnation\u003c\/em\u003e advancements are keyed to ready alteration of current practice finite volume commercial\/government and FE CFD codes \u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003e\u003cstrong\u003eA. J. Baker\u003c\/strong\u003e, PhD, PE\u003cstrong\u003e, \u003c\/strong\u003eProfessor Emeritus, MAE, University of Tennessee, Knoxville TN\u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eProfessional Preparation: \u003c\/strong\u003e\u003c\/p\u003e \u003cp\u003eUnion College, Schenectady, NY, Mechanical Engineering, BME, 1958\u003c\/p\u003e \u003cp\u003eState University of New York\/Buffalo, Engineering Science, MSc, 1968\u003c\/p\u003e \u003cp\u003eState University of New York\/Buffalo, Engineering Science, PhD, 1970\u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eProfessional Appointments:\u003c\/strong\u003e\u003c\/p\u003e \u003cp\u003e2010-present: Professor Emeritus, University of Tennessee\/Knoxville\u003c\/p\u003e \u003cp\u003e2010-2013: Member, Technical Staff, Trideum Inc., Huntsville AL\u003c\/p\u003e \u003cp\u003e1982-2013: Director, UT CFD Laboratory, University of Tennessee\/Knoxville\u003c\/p\u003e \u003cp\u003e1979-2010: Professor, MAE\/Engineering Science, University of Tennessee\/Knoxville \u003c\/p\u003e \u003cp\u003e6\/2003: Visiting Scientist, National Computing Center, Taipei, Taiwan\u003c\/p\u003e \u003cp\u003e1\/2001: Visiting Professor, Mechanical Engineering, Northwest University, Potchefstroom, South Africa\u003c\/p\u003e \u003cp\u003e1975-1997: President and Chief Scientist, Computational Mechanics Corp., Knoxville TN\u003c\/p\u003e \u003cp\u003e9\/1995: Visiting Professor, Civil Engineering, Chuo University, Tokyo, Japan\u003c\/p\u003e \u003cp\u003e3\/1983: Lecturer, von Karman Institute of Fluid Dynamics, Brussels, Belgium\u003c\/p\u003e \u003cp\u003e1975-1979: Associate Professor, Engineering Science \u0026amp; Mechanics, University of Tennessee, Knoxville TN\u003c\/p\u003e \u003cp\u003e1974-1975: Visiting Professor, Mechanical Engineering, Old Dominion University, and Visiting Scientist, NASA Langley Research Center, Hampton, VA\u003c\/p\u003e \u003cp\u003e1971-1973: Visiting Scientist (summers), Institute for Computer Applications in Science \u0026amp; Engineering (ICASE), NASA Langley, Hampton, VA\u003c\/p\u003e \u003cp\u003e1970-1974: Principal Research Scientist, Computational Fluid Mechanic, Textron\/Bell Aerospace Inc., Buffalo, NY\u003c\/p\u003e \u003cp\u003e1965-1970: Instructor, Engineering Faculty, SUNY\/Buffalo\u003c\/p\u003e \u003cp\u003e1958-1964: Mechanical Engineer, Union Carbide Corp., Buffalo NY\u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eGraduate Degree Production, \u003c\/strong\u003e17 PhD (major professor), 18 MSc (thesis advisor)\u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eResearch Contract Support\u003c\/strong\u003e: ~$11 M during UT professorship as PI\u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eProfessional Honors and Associations\u003c\/strong\u003e:\u003c\/p\u003e \u003cp\u003eFellow (elected 2001), US Association for Computational Mechanics (USACM)\u003c\/p\u003e \u003cp\u003eFellow (elected 2002), International Association for Computational Mechanics (IACM)\u003c\/p\u003e \u003cp\u003eAssociate Fellow (elected 1974), American Institute Aeronautics and Astronautics\u003c\/p\u003e \u003cp\u003e\u003cem\u003eResearch Fellow \u003c\/em\u003eAward, UT College of Engineering, 2003\u003c\/p\u003e \u003cp\u003e\u003cem\u003eExcellence in Technology Transfer \u003c\/em\u003eAward, University of Tennessee, 1993\u003c\/p\u003e \u003cp\u003e\u003cem\u003eChancellor's Research Scholar\u003c\/em\u003e Award, University of Tennessee, 1983\u003c\/p\u003e \u003cp\u003eNASA \u003cem\u003eTech Brief \u003c\/em\u003eAwards, 1984, 1976\u003c\/p\u003e \u003cp\u003eProfessional Engineer, New York and Tennessee\u003c\/p\u003e \u003cp\u003eJournal Associate Editorships (now Emeritus): Computer Methods in Applied Mechanics and Engineering, Progress in Computational Fluid Dynamics, Numerical Heat Transfer, Numerical Methods in Fluids\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eJames D. Freels\u003c\/strong\u003e PhD, PE, Senior Research Staff (retired 2018), UT-Battelle, ORNL,\u003c\/p\u003e \u003cp\u003eAdjunct Faculty member, MAE, University of Tennessee, Knoxville, TN\u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eProfessional Preparation:\u003c\/strong\u003e BS Nuclear Engineering, University of TN, 1977\u003c\/p\u003e \u003cp\u003eMS Nuclear Engineering, University of TN, 1979\u003c\/p\u003e \u003cp\u003ePhD Engineering Science and Mechanics, Univ TN, 1992\u003c\/p\u003e \u003cp\u003e\u003cstrong\u003eProfessional Experience\u003c\/strong\u003e:\u003c\/p\u003e \u003cp\u003e1979-1983: Staff Scientist, Science Applications, Inc, Oak Ridge, TN\u003c\/p\u003e \u003cp\u003e1983-1988: Senior Engr, Technology for Energy Corporation, Knoxville, TN\u003c\/p\u003e \u003cp\u003e1988-1991: Senior Staff Scientist\/Division Manager,\u003c\/p\u003e \u003cp\u003eScience Applications International Corporation, Oak Ridge, TN\u003c\/p\u003e \u003cp\u003e1991-2017: Senior Research Staff, Nuclear Safety Group, Research Reactors Division,\u003c\/p\u003e \u003cp\u003eOak Ridge National Laboratory (ORNL), Oak Ridge, TN\u003c\/p\u003e","brand":"De Gruyter","offers":[{"title":"Default Title","offer_id":48870437126379,"sku":"00000_00000_00000_00000","price":281.98,"currency_code":"SGD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0758\/4484\/5803\/files\/9783119147767-1.jpg?v=1781719490","url":"https:\/\/kinokuniya.com.sg\/products\/9783119147767","provider":"Books Kinokuniya Singapore","version":"1.0","type":"link"}